Multiplying and Dividing Integers

Last updated about 5 years ago

41 questions

Note from the author:

Multiplying & Dividing Integers Intro

Multiplying and Dividing Integers

Last updated about 5 years ago

41 questions

Note from the author:

Multiplying & Dividing Integers Intro

Discover the Rules for Multiplying and Dividing Integers

What is the product of 3 x 5? Is the answer positive or negative?

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

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

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

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

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

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

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

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

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.

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.

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

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

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

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! :)

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

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.

Multiplying and Dividing Integers

Multiplying and Dividing Integers

What is the product of 3 x 5? Is the answer positive or negative?

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

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

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

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 = 153 x -5 = -15-3 x 5 = -15-3 x -5 = 15

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

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

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

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

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 = 312 ÷ -4 = -3-12 ÷ 4 = -3-12 ÷ -4 = 3

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.

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

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

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

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

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?

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)

What is the product of 3 x 5? Is the answer positive or negative?

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

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

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

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 = 153 x -5 = -15-3 x 5 = -15-3 x -5 = 15

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

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

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

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

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 = 312 ÷ -4 = -3-12 ÷ 4 = -3-12 ÷ -4 = 3

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.

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

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

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

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

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?

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)

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

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

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

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