Multiplying and Dividing Integers

Multiplying and dividing integers

NC.7.NS.2 - Apply and extend previous understandings of multiplication and division.

• A. Understand that a rational number is any number that can be written as a quotient of integers with a non-zero divisor. 

• B. Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in real-world contexts. 

• C. Use division and previous understandings of fractions and decimals. 

Standard

Objectives

• SWBAT multiply and divide positive and negative integers

• SWBAT multiply and divide rational numbers

Multiple Choice

Fill in the blank for the following rule: If the rational numbers have same signs, ______________ and keep the common sign.

• add

• subtract

• multiply

• divide

Draw

Draw

Multiple Choice

$$\frac{7}{9}+\left(-\frac{5}{6}\right)$$  

• $$-\frac{3}{54}$$  

• $$-\frac{1}{18}$$  

• $$-\frac{2}{27}$$  

• $$-1\frac{1}{3}$$  

Multiple Choice

$$\frac{2}{6}\ -\left(-\frac{8}{7}\right)$$  

• $$\frac{10}{13}$$  

• $$\frac{10}{42}$$  

• $$\frac{31}{21}$$  

• $$-\frac{34}{42}$$  

If you had to explain what division is, what would you say?

If you had to explain what multiplication is, what would you say?

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Multiplying Integers: Different signs

• -3 × 2

• -6 × 5

• -1 × 9

Dividing Integers: Different signs

• -4 ÷ 2

• -9 ÷ 3

• -12 ÷ 4

What if the signs are the same?

• 15 ÷ 3

• -15 ÷ -3

• -9 ÷ -3

• 7 × 3

• -7 × -3

• -8 × -2

Multiplying

Dividing

Integer Rules for × and ÷

Integer Rules for × and ÷

Same signs: Positive Answer

Different signs: Negative Answer

Multiple Choice

-7 x 4

• 24
• 28
• -28
• -24

Multiple Choice

-5 x -8

• -40

• -13

• -45

• 40

Multiple Choice

(-25) ÷ (-5)

• 5
• -5
• -20
• -30

Multiple Choice

56 ÷ (-7)

• -8
• -9
• 8
• 7

Multiple Choice

-3 × (-5) =

• 15

• -15

• -8

• 8

Multiple Choice

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

• POSITIVE
• NEGATIVE
• DEPENDS ON WHICH NUMBER IS LARGER.

Multiple Choice

Is the product of 8(-6) positive or negative?

• positive
• negative

Multiple Choice

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

• Positive

• Negative

• Depends on which is bigger.

Multiple Choice

-24 ÷ (-8)

• 32
• -3
• -16
• 3

Multiple Choice

A drought can cause the level of the local water supply to drop by a few inches each week.  Suppose the level of the water supply drops 2 inches each week.  How much will it change in 4 weeks? 

• -16 inches

• -8 inches

• -2 inches