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Table of Contents
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. Several symbols are used for the division operator, including the obelus (÷), the colon (:), and the slash (/).
See the fact file below for more information on the division or alternatively, you can download our 30-page Division worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
- Division means grouping things or objects equally. You can have a division sentence of:
- Word problem: Cindy has 16 balloons for her birthday party. How many balloons will each of her 4 friends get if they will have the same number of balloons?
16 ÷ 4 = 4
- Division and multiplication are opposites. This is why you can use multiplication to check if your answer is correct.
- Division ——- > Multiplication
16 ÷ 4 = 4 ——- > 4 x 4 = 16
- Dividing numbers with two or more divisors is more challenging. To get the answer, take the first two or three digits of the dividend as one number. Divide this by the divisor to get the first digit of the quotient.
- Multiply then subtract. Bring down the next digit of the dividend.
- Continue the process of dividing, multiplying and subtracting until there are no more digits in the dividend to bring down.
- To check the quotient, multiply the quotient by the divisor and add the remainder if there is one. The answer must be equal to the dividend.
PROBLEM SOLVING INVOLVING DIVISION
- When solving word problems, you need to read and analyze the problem carefully. Identify what is being asked and the operation/s to be used to solve for the answer. Write the equation you will use and find the solution.
- Example: Marianne needs 322 meters of cloth for the ethnic costumes to be used in a cultural show. If 23 costumes need to be made, how many meters of cloth will be used for one costume?
- Ask: How many meters of cloth will be used for one costume?
- Given: 322 m of cloth, 23 costumes
- Operation: Division
- Number sentence: 322 ÷ 23 = x
- Answer: One costume would use 14 meters of cloth
- When dividing decimals, multiply the divisor and the dividend by the same power of 10 to make the divisor a whole number.
- Divide as whole numbers and align the decimal points in the dividend and the quotient.
- Annex zero in the decimal as necessary to continue division and use zero as a place holder if necessary.
- If the quotient is a non-terminating but repeating decimal, use an ellipsis (…) or a bar on the first digit in the decimal that repeats indefinitely.
PROBLEM SOLVING INVOLVING DIVISION OF DECIMALS
- To solve problems involving division of decimals, the following steps can be used: (a) understand the problem, (b) plan the operation, (c) solve, and (d) check.
- Example: A car travels a total of 207.48 kilometers. If it travels for 3.9 hours, how many kilometers per hour does the jeep travel?
- Ask: How many kilometers per hour does the jeep travel?
- Given: 207.48 km = total distance, 3.9 hours = total time
- Operation: Division
- Number sentence: 207.48 km ÷ 3.9 h = x
- Solution: 207.48 ÷ 3.9 = 53.2 kilometers per hour
- Check: Using inverse operation, 53.2 x 3.9 = 207.48
- Answer: The car travels 53.2 kilometers per hour.
DIVISION OF FRACTIONS
- To divide a fraction by a whole number, follow these steps:
- Step 1: Change the whole number to a fraction with a denominator of 1.
- Step 2: Change the divisor to its reciprocal and multiply with the dividend.
- Step 3: Simplify whenever possible.
- To divide a fraction or a whole number by a fraction, multiply the fraction or the whole number by the reciprocal of the divisor. Then, proceed with the steps in multiplying the fraction.
PROBLEM SOLVING INVOLVING DIVISION OF FRACTIONS
- Example: A plumber cuts a ⅞ m pipe into several pieces that are 1/16 m long. How many pieces of pipe can be cut?
- Ask: How many pieces of pipe can be cut?
- Given: ⅞ m pipe into several pieces that are 1/16 m each
- Operation: Division
- Number sentence: ⅞ ÷ 1/16 = x
- Answer: The number of pipes that can be cut from ⅞ m is 14.
This is a fantastic bundle which includes everything you need to know about the division across 30 in-depth pages. These are ready-to-use Division worksheets that are perfect for teaching students about the division which is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. Several symbols are used for the division operator, including the obelus (÷), the colon (:), and the slash (/).
Complete List Of Included Worksheets
- Basic Problems
- Dividing Multiple Digits
- Dividing with a Remainder
- Let’s Test!
- Word Problems I
- Dividing Decimals
- Fraction ÷ Fraction
- Whole Number ÷ Fraction and Vice Versa
- Word Problems II
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Link will appear as Division Facts & Worksheets: https://kidskonnect.com - KidsKonnect, March 24, 2020
Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.