Multiplication of Rational Numbers

Multiply Rational Numbers

Lesson 4

Focus Question

Multiply rational numbers

Vocabulary

● Product
● Both
● And
● But
● However

Multiple Choice

Convert into an improper fraction.

• $$\frac{37}{2}$$

• $$\frac{52}{7}$$

• $$\frac{7}{37}$$

• $$\frac{37}{7}$$

Multiple Choice

Convert into an improper fraction.

• $$\frac{15}{2}$$

• $$\frac{10}{5}$$

• $$\frac{17}{5}$$

• $$\frac{11}{2}$$

Match

Match the following

• $$3\frac{1}{2}$$  

• $$2\frac{5}{7}$$  

• $$6\frac{4}{5}$$  

• $$2\frac{4}{5}$$  

7/2

19/7

34/5

14/5

• 7/2

• 19/7

• 34/5

• 14/5

Learn: Multiply Numbers Rules

Same Sign = +ve

Different Sign = -ve

Multiple Choice

If I have a negative multiplied with a positive, what will the answer be?

• Positive 

• Negative 

Multiple Choice

If I have a positive multiplied with a positive, what will the answer be?

• Positive 

• Negative 

Multiple Choice

If I have two negatives what will the product be?

• Negative 

• Positive 

Learn: Multiply Rational Numbers

The rules to multiply rational numbers are the same for
multiplying positive and negative integers, decimals and
fractions.

Learn: Multiply Rational Numbers

Multiple Choice

When you multiply two negatives, your answer is ____

• positive

• negative

Multiple Choice

$$\left(-\frac{3}{4}\right)\times\frac{1}{8}=$$  

• $$-\frac{3}{32}$$  

• $$\frac{3}{32}$$  

• $$\frac{4}{18}$$  

• $$-\frac{4}{18}$$  

Multiple Choice

$$\frac{1}{6}\left(\frac{3}{5}\right)$$  

• $$-\frac{1}{10}$$  

• $$\frac{1}{10}$$  

• $$\frac{5}{18}$$  

• $$-\frac{5}{18}$$  

Multiple Choice

$$-\frac{2}{7}\left(\frac{3}{5}\right)$$  

• $$-\frac{10}{21}$$  

• $$\frac{10}{21}$$  

• $$\frac{6}{35}$$  

• $$-\frac{6}{35}$$  

Multiple Choice

If you multiply 0.73 by 2.52, how many times would you move the decimal?

• 2 times to the left
• 3 times to the left
• 4 times to the left
• 5 times to the left

Multiple Choice

$$-\frac{6}{7}\left(-\frac{8}{9}\right)$$  

• $$\frac{16}{21}$$  

• $$-\frac{16}{21}$$  

• $$\frac{48}{7}$$  

• $$-\frac{48}{7}$$  

Learn: Multiply Rational Numbers: Different Forms

When multiplying rational numbers in different forms, writ ALL of
them in the same form before multiplying.

Learn: Multiply Rational Numbers: Different Forms

Multiple Choice

$$3\ \frac{1}{3}\times5$$  =

• $$\frac{35}{3}$$  

• $$\frac{11}{3}$$  

• $$\frac{50}{3}$$  

• $$\frac{65}{3}$$  

Multiple Choice

$$2\ \frac{3}{4}\times3$$  =

• $$\frac{65}{4}$$  

• $$\frac{55}{4}$$  

• $$\frac{33}{4}$$  

• $$\frac{44}{3}$$  

Multiple Choice

$$3\ \frac{1}{2}\times10$$  =

• 36

• 20

• 35

• 12

Multiple Choice

$$2\ \frac{1}{3}\ \left(-4\ \frac{1}{5}\right)$$  

• $$\frac{147}{15}$$  

• $$-\frac{147}{15}$$  

• $$-8\ \frac{1}{5}$$  

• $$8\ \frac{1}{5}$$  

Multiple Choice

When multiplying 17.98 × 143.5, how many times would you move the decimal?

• 1 time to the left

• 2 times to the left

• 3 times to the left

• 4 times to the left

Multiple Choice

If you multiply 0.73 by 2.52, how many times would you move the decimal?

• 2 times to the left

• 3 times to the left

• 4 times to the left

• 5 times to the left

Multiple Choice

4 x 0.03

• 12

• 0.12

• 120

• 0.012

Multiple Choice

11.3 × 2.5

• 79.1

• 13.8

• 22.597

• 28.25

Learn: Multiply Rational Numbers as Expressions

Complete the Textbook Check Questions in

your Textbook on the correct pages.

Then check your answers on the next slide

and mark your work in your book.

Check Questions (Pg 204, 206, 207, 208 )

Check Answers(Pg 204, 206, 207, 208 )

CORRECT

CORRECT

CORRECT

Check Questions (Pg 204, 206, 207, 208 )

Check Answers(Pg 204, 206, 207, 208 )

CORRECT

CORRECT