Unit 2 Lesson 5

Dividing Rational Numbers

​Remember:

​Rational numbers are numbers that can be written as a fraction, decimal that ends, or decimal that repeats.

• -​8

• ​4.213

• ​7.23232323....

• ​

Multiple Choice

Choose the number that is NOT rational

• $$5.7$$  

• $$0.\overline{3}$$  

• $$3.28390...$$  

• $$\frac{4}{5}$$  

Multiple Choice

When dividing integers....

• follow the same rules as multiplying integers
• Follow the same rules as adding integers
• Follow the same rules as subtracting integers
• Always do the opposite

​Dividing Rational Numbers

• ​Follow the steps you know for dividing fractions (Keep, Change, Flip) and decimals.

• ​Use what you know about dividing integers to figure out the sign of your answer.

• ​Examples:

Dividing Fractions

First step: Find the reciprocal of the fraction.

Second step: Multiply the number by the reciprocal of the fraction.

Third step: Simplify the resulting fraction if possible.

Fourth step: Check your answer: Multiply the result you got by the divisor and be sure it equals the original dividend.

Multiple Choice

-45/-9

• -5

• 8

• 5

• -8

Multiple Choice

• 7

• -7

• 63

• 63

Multiple Choice

• 4
• -4
• 64
• -46

Multiple Choice

• -4
• 4
• 16
• -16

Multiple Choice

19.32 ÷ 2.3

• 8.4
• 7.2
• 8.9
• 8.6

Multiple Choice

14.28 ÷ 4.2

• 3.4
• 3.6
• 3.7
• 3.5

Multiple Choice

What is the correct​ quotient?

$$\frac{2}{3}\ \div\ \frac{1}{3}$$  

• $$\frac{2}{9}$$  

• $$\frac{2}{3}$$  

• 2

• $$\frac{1}{3}$$  

Multiple Choice

Divide and simplify.

$$\frac{4}{9}\ \div\ -\frac{11}{5}$$  

• $$\frac{20}{99}$$  

• $$-\frac{20}{99}$$  

• $$\frac{44}{45}$$  

• $$-\frac{44}{45}$$  

Multiple Choice

$$5.75\div\left(-0.25\right)=$$  

• $$23$$  

• $$-2.3$$  

• $$2.03$$  

• $$-23$$  

Multiple Choice

$$3\ \frac{1}{2}\div-2\ \frac{1}{6}=$$  

• $$-6\ \frac{1}{3}$$  

• $$-1\ \frac{8}{13}$$  

• $$6\ \frac{1}{3}$$  

• $$\frac{42}{26}$$  

Multiple Choice

$$-\frac{1}{5}\div-\frac{2}{5}=$$  

• $$-\frac{1}{2}$$  

• $$\frac{1}{5}$$  

• $$\frac{1}{2}$$  

• $$-\frac{1}{5}$$  

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