Multiplying and Dividing Integers

Last updated almost 5 years ago
41 questions
Note from the author:
Multiplying & Dividing Integers Intro
Discover the Rules for Multiplying and Dividing Integers
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What is the product of 3 x 5? Is the answer positive or negative?

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Type 3 x -5 into a calculator. What is the product? Is the answer positive or negative?

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Type -3 x 5 into a calculator. What is the product? Is the answer positive or negative?

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Type -3 x -5 into a calculator? What is the product? Is the answer positive or negative?

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Look at the last four multiplication problems. What patterns do you notice between the signs of the factors and the sign of the product?
3 x 5 = 15
3 x -5 = -15
-3 x 5 = -15
-3 x -5 = 15

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What is the quotient of 12 ÷ 4? Is the answer positive or negative?

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Type 12 ÷ -4 into a calculator. What is the quotient? Is the answer positive or negative?

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Type -12 ÷ 4 into a calculator. What is the quotient? Is it positive or negative?

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Type -12 ÷ -4 into a calculator. What is the quotient? Is it positive or negative?

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Look at the last four division problems. What patterns do you notice between the signs of the dividend/divisor and the sign of the quotient? (dividend ÷ divisor = quotient)
12 ÷ 4 = 3
12 ÷ -4 = -3
-12 ÷ 4 = -3
-12 ÷ -4 = 3

Watch the video below that summarizes the rules for multiplying and dividing integers.
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The video showed three different ways to remember these rules. Choose the one you like the best and draw it below. Rewatch the video if you need to.

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When multiplying two integers with the same sign, the product will be ____________________.

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When multiplying two integers with different signs, the product will be _____________________.

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When dividing two integers that have the same sign, the quotient will be _____________________.

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When dividing two integers that have different signs, the quotient will be __________________.

Let's Practice! You may NOT use a calculator on these practice questions. Just your brain! :)
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Do you think the same rules for multiplying and dividing with negative numbers apply for all rational numbers like fractions and decimals? Why or why not?

Real World Example
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Peyten withdrew $25.50 from her checking account four times this month. Write an integer to show how her balance changed. (Hint: withdraw means taking money out)

Partner Activity
With a partner, decide who is partner A and who is partner B. Partner A will solve #22-31 and Partner B will solve #32-41. You should get the same answers as each other.
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