World Explorer Books - Children's Books About Exploration

Follow the Dream: The Story of Christopher Columbus

written and illustrated by Peter Sis; ages 5 and up

Over 500 years ago a little boy was born in the city of Genoa, Italy. His father was a weaver, but Christopher Columbus dreamed of faraway places, adventure, and discovery. He observed the ships that sailed into the harbor and listened to the sailors and merchants as they told tales of their journeys. Thus Peter Sis begins the story of Christopher Columbus. Sis has illustrated this biography with fine-lined ink laid on yellowing parchment, creating detailed drawings that resemble 15th-century maps.

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Exploration Kids Books - American Exploer Books

Who Was First? Discovering the Americas
Russell Freedman; ages 11 and up
Historian Russell Freeman explores the various claims to the "discovery" of the American continents. Every U.S. school child knows the story of Columbus, but what about the Chinese explorer, Zheng He? This lavishly illustrated volume traces explorers' journeys with archival maps, charts, and timelines. Freeman discusses the Native Americans, from the ancients to the pre-Columbian using archeological data and research. Families will enjoy discussing the competing theories.

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Reading Readiness Books: ages 3-4

Get your 3 to 4 year old ready to read and learn with these age-appropriate story recommendations.

How can we help our children as they are learning to read?  One of the building blocks of reading competency is phonetic awareness. What are the sounds that make up a written word?

Phonemic awareness refers to the ability to hear and tell the difference between words, sounds, and syllables in speech. These are four elements of phonemic awareness: rhyme, hearing syllables, blending and segmentation. When we read aloud to children it is a terrific time to hone these skills. Here is a selection of classic titles that demonstrate these essential parts of beginning reading. 

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Best Music Books For Children

Teach your child all about instruments, melody, and more with these recommended music books for preschoolers

Kids Go!

by They Might Be Giants; illustrated by Pascal Campion
Hipster rock group They Might Be Giants return after their Grammy-winning CD for kids, Here Come the 123s, with a book and song combination to get kids off the couch and get moving. The song was originally created in 2008 for a PBS Kids campaign that encourages an active lifestyle and is packaged here with a DVD. The splashy, frenetic pace of the cool retro art adds to the energy of the song. It's a great book to start the day or break up rainy Sunday doldrums.

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Top 10 Kids Math Web Sites

Funbrain A math arcade and interactive math games are only two of the many features of this site, which offers games in a wide variety of topics. Classic games on this site include math car racing. Check out the teacher's resource page and the curriculum guide.

Time4Learning Complete online curriculum for preschool through the eighth grade. Interactive lessons keep children engaged in the learning process. Students earn time while working on lessons, which can be spent on the playground where the child plays additional, educational games.

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Middle School Educational Software

QuickStudy English Vocabulary

Take the quick path to writing success!

Quickstudy English Vocabulary provides a solid educational foundation that will raise grades and test scores and improve vocabulary and writing skills in the classroom and beyond. The curriculum-based lessons are designed by educators to help students expand their vocabulary in an engaging, interactive learning environment. Plus, exercises let students review spelling and usage. With real-time quizzes and a searchable database of words, Quickstudy English Vocabulary gives users the tools they need to master the right words for all occasions.

Software Features:

• Be a quickstudy!
• Improve grades and test scores

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Software For Kids

Millie's Math House

Develop a love for math with Millie!

In seven fun-filled activities, kids explore fundamental math concepts as they learn about numbers, shapes, sizes, quantities, patterns, sequencing, addition, and subtraction. They count critters, build mouse houses, create crazy-looking bugs, make jellybean cookies for Harley the horse, and find just the right shoes for Little, Middle, and Big. Special features include Explore & Discover and Question and Answer modes, which balance independent play with structured learning, and positive, gentle feedback which enhances learning and persistence.

Skills Learned:

• Identify and Compare Shapes and Sizes
• Create and Complete Patterns
• Learn Numbers to 30
• Practice Addition and Subtraction

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Best Books for 10 Year Old Boys

There are many overlaps between books ‘for’ boys and books ‘for’ girls (and the gender divide was really driven by the twitter enquiry that prompted the list of best books for girls), but there are differences too. However much of an old-style Doc-Marten-wearing feminist Kate was (is…), and however much she swore that she would not encourage her own children into gender stereotypes, she’s come to accept differences, whether innate or cultural. in boys’ and girls’ reading and playing preferences. It is better, she thinks, for children to read things that appeal to them, than to try to push them into “appreciating” things that they don’t really respond to.

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5th Grade Math Worksheets - 5th Grade Math Test (3)

Question 1: 6.2% written as a decimal is:
0.62
0.062
0.0062
6.2

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Math 5th Grade Test - 5th Grade Math Test (2)

Question 1: What is the perimeter of the rectangular in the figure below?

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Math 5th Grade Test - 5th Grade Math Test (1)

Question 1: 4521 × 613 =
1,771,373
1,871,373
2,871,373
2,771,373

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15th Swedish Mathematical Society Problems 1975

1.  A is the point (1, 0), L is the line y = kx (where k > 0). For which points P (t, 0) can we find a point Q on L such that AQ and QP are perpendicular?

2.  Is there a positive integer n such that the fractional part of (3 + √5)ⁿ > 0.99?

3.  Show that aⁿ + bⁿ + cⁿ ≥ ab^n-1 + bc^n-1 + ca^n-1 for real a, b, c ≥ 0 and n a positive integer.

4.  P₁, P₂, P₃, Q₁, Q₂, Q₃ are distinct points in the plane. The distances P₁Q₁, P₂Q₂, P₃Q₃ are equal. P₁P₂ and Q₂Q₁ are parallel (not antiparallel), similarly P₁P₃ and Q₃Q₁, and P₂P₃ and Q₃Q₂. Show that P₁Q₁, P₂Q₂ and P₃Q₃ intersect in a point.

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Posted in: Swedish Mathematical Society

14th Swedish Mathematical Society Problems 1974

1.  Let a_n = 2^n-1 for n > 0. Let b_n = ∑_r+s≤n a_ra_s. Find b_n - b_n-1, b_n - 2b_n-1 and b_n.

2.  Show that 1 - 1/k ≤ n(k^1/n - 1) ≤ k - 1 for all positive integers n and positive reals k.

3.  Let a₁ = 1, a₂ = 2^a₁, a₃ = 3^a₂, a₄ = 4^a₃, ... , a₉ = 9^a₈. Find the last two digits of a₉.

4.  Find all polynomials p(x) such that p(x²) = p(x)² for all x. Hence find all polynomials q(x) such that q(x² - 2x) = q(x-2)².

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Posted in: Swedish Mathematical Society

13th Swedish Mathematical Society Problems 1973

1.  log₈2 = 0.2525 in base 8 (to 4 places of decimals). Find log₈4 in base 8 (to 4 places of decimals).

2.  The Fibonacci sequence f₁, f₂, f₃, ... is defined by f₁ = f₂ = 1, f_n+2 = f_n+1 + f_n. Find all n such that f_n = n².

3.  ABC is a triangle with ∠A = 90^o, ∠B = 60^o. The points A₁, B₁, C₁ on BC, CA, AB respectively are such that A₁B₁C₁ is equilateral and the perpendiculars (to BC at A₁, to CA at B₁ and to AB at C₁) meet at a point P inside the triangle. Find the ratios PA₁:PB₁:PC₁.

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Posted in: Swedish Mathematical Society

12th Swedish Mathematical Society Problems 1972

1.  Find the largest real number a such that x - 4y = 1, ax + 3y = 1 has an integer solution.

2.  A rectangular grid of streets has m north-south streets and n east-west streets. For which m, n > 1 is it possible to start at an intersection and drive through each of the other intersections just once before returning to the start?

3.  A steak temperature 5^o is put into an oven. After 15 minutes, it has temperature 45^o. After another 15 minutes it has temperature 77^o. The oven is at a constant temperature. The steak changes temperature at a rate proportional to the difference between its temperature and that of the oven. Find the oven temperature.

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Posted in: Swedish Mathematical Society

11th Swedish Mathematical Society Problems 1971

1.  Show that (1 + a + a²)² < 3(1 + a² + a⁴) for real a ≠ 1.

2.  An arbitrary number of lines divide the plane into regions. Show that the regions can be colored red and blue so that neighboring regions have different colors.

3.  A table is covered by 15 pieces of paper. Show that we can remove 7 pieces so that the remaining 8 cover at least 8/15 of the table.

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Posted in: Swedish Mathematical Society

10th Swedish Mathematical Society Problems 1970

1.  Show that infinitely many positive integers cannot be written as a sum of three fourth powers of integers.

2.  6 open disks in the plane are such that the center of no disk lies inside another. Show that no point lies inside all 6 disks.

3.  A polynomial with integer coefficients takes the value 5 at five distinct integers. Show that it does not take the value 9 at any integer.

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Posted in: Swedish Mathematical Society

9th Swedish Mathematical Society Problems 1969

1.  Find all integers m, n such that m³ = n³ + n.

2.  Show that tan π/3n is irrational for all positive integers n.

3.  a₁ ≥ a₂ ≥ ... ≥ a_n is a sequence of reals. b₁, b₂, b₃, ... b_n is any rearrangement of the sequence B₁ ≥ B₂ ≥ ... ≥ B_n. Show that ∑ a_ib_i ≤ &sum a_iB_i.

4.  Define g(x) as the largest value of |y² - xy| for y in [0, 1]. Find the minimum value of g (for real x).

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Posted in: Swedish Mathematical Society

8th Swedish Mathematical Society Problems 1968

1.  Find the maximum and minimum values of x² + 2y² + 3z² for real x, y, z satisfying x² + y² + z² = 1.

2.  How many different ways (up to rotation) are there of labeling the faces of a cube with the numbers 1, 2, ... , 6?

3.  Show that the sum of the squares of the sides of a quadrilateral is at least the sum of the squares of the diagonals. When does equality hold?

4.  For n ≠ 0, let f(n) be the largest k such that 3^k divides n. If M is a set of n > 1 integers, show that the number of possible values for f(m-n), where m, n belong to M cannot exceed n-1.

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Posted in: Swedish Mathematical Society

7th Swedish Mathematical Society Problems 1967

1.  p parallel lines are drawn in the plane and q lines perpendicular to them are also drawn. How many rectangles are bounded by the lines?

2.  You are given a ruler with two parallel straight edges a distance d apart. It may be used (1) to draw the line through two points, (2) given two points a distance ≥ d apart, to draw two parallel lines, one through each point, (3) to draw a line parallel to a given line, a distance d away. One can also (4) choose an arbitrary point in the plane, and (5) choose an arbitrary point on a line. Show how to construct (A) the bisector of a given angle, and (B) the perpendicular to the midpoint of a given line segment.

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Posted in: Swedish Mathematical Society

6th Swedish Mathematical Society Problems 1966

1.  Let {x} denote the fractional part of x = x - [x]. The sequences x₁, x₂, x₃, ... and y₁, y₂, y₃, ... are such that lim {x_n} = lim {y_n} = 0. Is it true that lim {x_n + y_n} = 0? lim {x_n - y_n} = 0?

2.  a₁ + a₂ + ... + a_n = 0, for some k we have a_j ≤ 0 for j ≤ k and a_j ≥ 0 for j > k. If a_i are not all 0, show that a₁ + 2a₂ + 3a₃ + ... + na_n > 0.

3.  Show that an integer = 7 mod 8 cannot be sum of three squares.

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Posted in: Swedish Mathematical Society

5th Swedish Mathematical Society Problems 1965

1.  The feet of the altitudes in the triangle ABC are A', B', C'. Find the angles of A'B'C' in terms of the angles A, B, C. Show that the largest angle in A'B'C' is at least as big as the largest angle in ABC. When is it equal?

2.  Find all positive integers m, n such that m³ - n³ = 999.

3.  Show that for every real x ≥ ½ there is an integer n such that |x - n²| ≤ √(x - ¼).

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Posted in: Swedish Mathematical Society

4th Swedish Mathematical Society Problems 1964

1.  Find the side lengths of the triangle ABC with area S and ∠BAC = x such that the side BC is as short as possible.

2.  Find all positive integers m, n such that n + (n+1) + (n+2) + ... + (n+m) = 1000.

3.  Find a polynomial with integer coefficients which has √2 + √3 and √2 + 3^1/3 as roots.

4.  Points H₁, H₂, ... , H_n are arranged in the plane so that each distance H_iH_j ≤ 1. The point P is chosen to minimise max(PH_i). Find the largest possible value of max(PH_i) for n = 3. Find the best upper bound you can for n = 4.

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Posted in: Swedish Mathematical Society

3rd Swedish Mathematical Society Problems 1963

1.  How many positive integers have square less than 10⁷?

2.  The squares of a chessboard have side 4. What is the circumference of the largest circle that can be drawn entirely on the black squares of the board?

3.  What is the remainder on dividing 1234⁵⁶⁷ + 89¹⁰¹¹ by 12?

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Posted in: Swedish Mathematical Society

2nd Swedish Mathematical Society Problems 1962

1.  Find all polynomials f(x) such that f(2x) = f '(x) f ''(x).

2.  ABCD is a square side 1. P and Q lie on the side AB and R lies on the side CD. What are the possible values for the circumradius of PQR?

3.  Find all pairs (m, n) of integers such that n² - 3mn + m - n = 0.

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Posted in: Swedish Mathematical Society

1st Swedish Mathematical Society Problems 1961

1.  Let S be the system of equations (1) y(x⁴ - y² + x²) = x, (2) x(x⁴ - y² + x²) = 1. Take S' to be the system of equations (1) and x·(1) - y·(2) (or y = x²). Show that S and S' do not have the same set of solutions and explain why.

2.  Show that x₁/x_n + x₂/x_n-1 + x₃/x_n-2 + ... + x_n/x₁ ≥ n for any positive reals x₁, x₂, ... , x_n.

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Posted in: Swedish Mathematical Society

What's the value of this Vieta-style product involving the golden ratio?

One way of looking at the Vieta product

2π=2√22+2√√22+2+2√√√2…

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Quadratic reciprocity via generalized Fibonacci numbers?

This is a pet idea of mine which I thought I'd share. Fix a prime q congruent to 1mod4 and define a sequence Fn by F0=0,F1=1, and
Fn+2=Fn+1+q−14Fn.

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Division, Multiplication, Fraction Division Books for Kids

Books about long division for kids

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Posted in: Math Books for Kids

Fun Learning Math For Kids

Make Learning Math A Fun Time For Your Child

 

Your child can have fun learning math. Learning math could be difficult to kids sometimes. Considering a different approach on getting your child to learn math and become smarter might be a good idea. why not have your child play and learn math at the same time? Math do not have to be a dull anymore.

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Fun Math Games for Kids

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How to Do Long Division - Understanding long division as repeated subtraction

Understanding long division as repeated subtraction

Many children find the traditional long division method far to complex to understand. Below are two different ways for you to help your children understand long division. The first method uses repeated subtraction and the second is a grid method.

 Question: 765÷12

12x10=120   765-120=645 12x10-120   645-120=525 12x10=120   525-120=405 12x10=120   305-120=285 12x10-120   185-120=165 12x10=120   165-120=45

You now know that 12x60=720
765-720=45
How many 12’s in 45?
12x3=36 remainder 9
60+3=36 remainder 9
Answer: 765÷12=63 r9

Grid method for division which can be used if you know you tables well.

Question: 765÷12
Start by partitioning 765 as in the grid below:

÷ 700 60 5 12

First box needs 700÷12, this is quite had to work out so lets make it easier:

÷ 720 40 5 12 60

720÷12=60 (because 72÷12=6)
The second box needs 40÷12=3 remainder 4:

÷ 720 40 5 12 60 3

The remainder(4) is added to the last box - see grid below:

÷ 720 40 5 9 12 60 3 0 r9

Now all you need to do is add.
60+3+0=63 r9Answer: 765÷12=63 r9

-----

How to Do Long Division

Steps 1: Find a simple example to start with: If there are six mushrooms in a 250 gram pack how much does each mushroom weigh? (We must divide 250 by 6.)

Steps 2: Set up the equation. Place the dividend (number being divided) under the tableau, the divisor (number doing the division) to the left outside, and the quotient (answer) will eventually go on top.

Steps 3: Perform the division. (Note: there is an error in the picture at the first step.)

1. Ask yourself how many times 6 goes evenly into 2. (Write a 0 below the 2.) It doesn't because 6 is greater than 2, so draw a line below that and write a 0 above the 2.
2. Add the next digit to 2 to get 25 (write this below the line), and ask yourself how many times 6 goes evenly into 25: 4 times 6 equals 24.
3. Write 24 below 25. Above the 5 of the 250 write 4 to indicate the number of times 6 goes into the number at this position.
4. Subtract 24 from 25. Draw another horizontal line and place the difference below the line (1). Since 1 is too small for 6 bring down the final zero of 250. This makes 10.
5. Ask yourself how many times 6 goes into 10: 6 times 1 equals 6. Only one 6 will go evenly into 10, so write a 1 above the 0 of 250.
6. Draw a vertical line down the page after the 0 of the 250 (see photo). This helps us with the location of the decimal point. (If you prefer you can just write a decimal point.)
7. Subtract 6 from 10 to get 4. Add a 0 the 4 and you will have 40.
8. Ask yourself how many times 6 goes into 40. 6*6 = 36, so write 36 under the 40, and write a 6 up and to the right of 250.
9. Subtract 36 from 40 to get 4. If you continue the process you can see that you are adding an infinite amount of 6's. So the quotient (answer) is 41.6666666666666...

More books about long division for kids

Mathimagination Series: Book A, beginning multiplication and division; Book B, operations with whole numbers; Book C, number theory, sets and number bases; Book D, fractions; Book E, decimals and percent

Decimals and Percentages With Pre- And Post-Tests: Place Value, Addition, Subtraction, Multiplication, Division

External Link

• How to do long division step by step? (video)
• How to do long division for kids

Read more

• How to do long division step by step?
• How to do long division with remainders?
• How do you do long division with decimals?
• Understanding long division as repeated subtraction
• Teaching Long Division
• Double Division with 3 Digit Divisors
• How to do long division with two digit quotients?
• Long Division of Polynomials Step by Step
• How to do long division with 2 digit divisor?
• How to do long division with two digit quotients?

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Posted in: Long Division

Division Lesson Plans

Introduction to division lesson plan:

                   Division lesson plans is nothing but a one of the arithmetic operations of division, Division means that the reverse of multiplication operation. Division  is mainly used to reduce the whole part of item. Symbol of division is represented as (/) .When we have to perform the division operation. In basic division contains two parts, one is numerator, another ons is denominator. Numerator is called dividend, denominator is called as divisor.In this article Division lesson, we see about how to do the division operation and some example problems in division.

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Lesson Plans for Division

Introduction to Lesson Plans for Division:

                 A division method can be done by the division symbol ÷.  The number present in the left of the division symbol is dividend and the number present in the right of the division symbol is divisor. The answer you get from the division process is called quotient. The number after dividing process over the remaining number left below the division line is called as remainder. Let us see about lesson plans for division in this article.

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Multiplication and Division Property

Introduction on multiplication and division property:

           Multiplication: One of the fundamental mathematical operations is called multiplication. The multiplication is the method of scaling one number with another number. It creates the product of numbers. It is denoted by a symbol "×".

           Division: One of the fundamental arithmetic operations is called division. It is the inverse product of multiplication. It is denoted by a symbol ÷.

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How to do fraction division?

How to do fraction division? How to solve fraction division?

Teaching division usually leads to the concept of fractions being introduced to students. Unlike addition, subtraction, and multiplication, the set of all integers is not closed under division. Dividing two integers may result in a remainder. To complete the division of the remainder, the number system is extended to include fractions or rational numbers as they are more generally called. 

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4 Digit Division - How to do 4 digit long division?

Introduction to 4 digit division:

        Meaning of the term division is dividing the group into equal parts. Use of the term division is dividing. During the division we can get the quotient and the reminder. We can do division in single digit, double digit, treble digit, 4 digits and 5 digits etc. Let us see 4 digit divisions in this article.

Division:

       Division means divide the group into dividend. Division is represented by the symbols ‘/’, ‘) (‘or ‘ ’. Normally division has one operator and two operands.

For example:

        a b here the variable ‘a’ and b is called as operands and the symbol’ ’is called as operator. By the way of division we get quotient and reminder.

The sign of quotient is based on dividend and divisor symbol.

• Positive quotient = positive dividend by positive divisor
• Negative quotient = positive dividend by negative divisor
•  Negative quotient = negative dividend by positive divisor
• Positive quotient = negative dividend by negative divisor

Normally we derive division as step by step process.

Examples for 4 Digit Divisions:

Example:

Divide

Using the step by step process.

Solution:

Given: Dividend =2468

          Divisor =4

Write the given question as follows:

4) 2468 (

Step 1:

Take the first factor in the left hand side.

Here the first factor in dividend is 2. Divide the first number (2) by the divisor (4).

4) 2468 (

Here 2 are not going to the 4.

4) 2468 (0
    0
  ----------
    2

Take the next element in the dividend

4) 2468 (0
    0
  ----------
    24

24 are 6 times go the dividend so note down the answer in right hand side of the dividend.

4) 2468 (06
    0
  ----------
    24

Step 2:

Product of the quotient and divisor as note down directly under the dividend then subtract it.

Here the quotient is 6 so multiply 6 with 4 then write the answer (6 *4 =24) in under the dividend.

4) 2468 (06
    0
  ----------
    24
    24
   ----------

Step 3:

Subtract the step 2 answer (24) from the dividend (24).

4) 2468 (06
    0
  ----------
    24
    24
  ----------
      0

        Check the process. If the step 3 answer is smaller than divisor the condition is true so proceeds the division operation. Here the condition is true therefore we can do the process.

Step 4:

Take the next element in the dividend

4) 2468 (06
    0
  ----------
    24
    24
  ----------
       06

6 are 1 time go the dividend so note down the answer in right hand side of the dividend.

4) 2468 (061
    0
  ----------
    24
    24
  ----------
       06

Step 5:

Product of the quotient and divisor as note down directly under the dividend then subtract it.

Here the quotient is 1 so multiply 1 with 4 then writes the answer (1 *4 =4) in under the dividend.

4) 2468 (061
    0
  ----------
    24
    24
  ----------
       06
       04
   ----------

Subtract the step 5 answer (04) from the dividend (06).

4) 2468 (061
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        2

Step 6:

Take the next element in the dividend

4) 2468 (061
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28

28 are 7 times go the dividend so note down the answer in right hand side of the dividend.

4) 2468 (0617
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28

Step 7:

Product of the quotient and divisor as note down directly under the dividend then subtract it.

Here the quotient is 7 so multiply 7 with 4 then write the answer (7 *4 =28) in under the dividend.

4) 2468 (0617
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28
        28
  ----------
Subtract the step 7 answer (28) from the dividend (28).

4) 2468 (0617
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28
        28
  ----------
         0

When you get 0 as reminder holds the division operation:

Quotient – 28

Reminder – 0

Practice problem for 4 digit divisions:

Practice problem 1: 4624 4

Solution: 1156

Practice problem 2: 1356 (-3)

Solution: -452

Practice problem 3: (-5000) (-5)

Solution: 1000

Dividing a 4-digit by 2-digit numbers

How to divide a four digit number by a two digit number (e.g. 4138 ÷ 17):

• Place the divisor before the division bracket and place the dividend (4138) under it.

       
17)4138

• Examine the first digit of the dividend(4). It is smaller than 17 so can't be divided by 17 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 17's it contains. In this case 41 holds two seventeens (2*17=34) but not three (3*17=51). Place the 2 above the division bracket.

    2  
17)4138

• Multiply the 2 by 17 and place the result (34) below the 41 of the dividend.

    2 
17)4138
   34

• Draw a line under the 34 and subtract it from 41 (41-34=7). Bring down the 3 from the 4138 and place it to the right of the 7.

    2 
17)4138
   34
    73

• Divide 73 by 17 and place that answer above the division bracket and to the right of the two.

    24 
17)4138
   34
    73

• Multiply the 4 of the quotient by the divisor (17) to get 68 and place this below the 73 under the dividend. Subtract 68 from 73 to give an answer of 5. Bring down the 8 from the dividend 4138 and place it next to the 5

    24 
17)4138
   34
    73
    68
     58

• Divide 58 by 17 and place that answer (3) above the division bracket and to the right of the four.

    243
17)4138
   34
    73
    68
     58

• Multiply the 3 of the quotient by the divisor (17) to get 51 and place this below the 58 under the dividend. Subtract 51 from 58 to give an answer of 7.

    243
17)4138
   34
    73
    68
     58
     51
      7

• There are no more digits in the dividend to bring down so the 7 is a remainder. The final answer could be written in several ways.
  243 remainder 7 or sometimes 243r7
  or as a mixed number 243  7/17

More books about long division

Read more

• How to do long division step by step?

• How to do long division with remainders

• How to do long division with decimal?

External Link

• How to do long division step by step? (video)
• How to do long division for kids

Read more »

Books for Teaching Math to Kids

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Top 10 Maths Books

Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympiad Series) http://amzn.to/OlympiadCourses

Amazon.com: Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympia

amzn.to

Amazon.com: Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympiad Series) (9789814293532): Xu Jiagu: Books

 

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Geography Books

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Scientific Method Limitations

ntroduction to Scientific Method Limitations:
             This article is showing the limitations for scientific method. Scientific method is otherwise said to be as scientific notation which helps to show the big numbers into simplest form of a number. Scientific method is of positive and negative method. Example for scientific Method:

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How to do long division with two digit quotients?

We've learned that we can figure out the single-digit quotient, or answer, for two-digit divisor problems using estimation. This time around, we'll use estimation to determine two-digit quotients for two-digit divisor problems. Let's look at this division problem, which has a two-digit quotient: To start, it's important to determine the first part of 741 that we can divide by 32. That is 74. The first part of the answer goes above the 4 in the tens place. Next, we work the estimation problem. The estimation problem is 7 divided by 3. We know 3 goes into 7 two times. We place a 2 above the ones digit of 74. Then we multiply 2 by 32 and get 64 (2 x 32 = 64). We write 64 under 74 and then subtract. The difference we get is 10. Instead of writing the 10 in front of 1, we will bring down the 1. Now we will divide 101 by 32 (101 ÷ 32). The answer will go above the 1 in the ones place. The 10 is a remainder, so we don't have to write a zero in the answer. We will need another estimation problem for 101 divided by 32. The estimation problem is 10 divided by 3 (10 ÷ 3). We get 3 as our quotient. We write the 3 above the 1 in the ones place. Finally, we multiply 3 times 32 and get 96 (3 x 32= 96). We subtract 96 from 101 and get 5. This is our remainder. The quotient for 741 divided by 32 equals 23 with a remainder of 5 (741 ÷ 32 = 23 + R5).

More books about long division for kids

Mathimagination Series: Book A, beginning multiplication and division; Book B, operations with whole numbers; Book C, number theory, sets and number bases; Book D, fractions; Book E, decimals and percent

Decimals and Percentages With Pre- And Post-Tests: Place Value, Addition, Subtraction, Multiplication, Division

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• How to do long division step by step?
• How to do long division with remainders?
• How do you do long division with decimals?
• Understanding long division as repeated subtraction
• Teaching Long Division
• Double Division with 3 Digit Divisors
• How to do long division with two digit quotients?
• Long Division of Polynomials Step by Step
• How to do long division with 2 digit divisor?
• How to do long division with two digit quotients?

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