6.3CD Multiplying and Dividing integers with word problems

6.3CD Multiplying and Dividing integers with word problems

by Nafisa Gagen

Multiplying & Dividing Integers

Chandler

The "WHY" Behind the Rules

Each time you multiply or divide by a negative number, you flip to the opposite side of the number line.

What's the rule?

Can you find a pattern in the rules to the right? You have 2 minutes to analyze them and find one! Focus on finding a pattern that will help you remember these. Can you do it?!

Multiple Choice

Solve:

6 x (-5) =

• 30

• -30

Multiple Choice

Solve:

-7 x (-5) =

• 35

• -35

Multiple Choice

Solve:

-3 x (-4) =

• 12

• -12

Multiple Choice

Solve:

-3 x 6 =

• 18

• -18

Multiple Choice

Flora made 3 withdrawals of $75 each from her bank account. What was the overall change in her account?

• $525

• $-525

• $225

• $-225

Multiple Choice

The temperature dropped 2 every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

• -12

• 12

• 6

• -6

Multiple Choice

The price of one share of Acme Company declined $5 per day for 4 days in a row. How much did the price of one share change in total after the 4 days?

• $-20

• $20

Multiple Choice

A mountain climber climbed down a cliff 50 feet at a time. He did this 5 times in one day. What was the overall change in his elevation?

• -250 feet 

• 250 feet 

Multiple Choice

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

• Positive

• Negative

• Depends on which is bigger.

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

(-2) x ___ = 20

• -10

• 10

• 5

• -5

Multiple Choice

What multiplication fact does this show?

• 2 x 5 = 10

• 3 x 4 = 12

• 3 x 3 = 9

• 3 x 1 = 3

Multiple Choice

The model represents which math equation?

• 2 x (-3) = 6

• -3 x 3 = 9

• -3 x (-3) = 9

• 3 x (-2) = -6

Multiple Choice

The model represents which equation?

• 5 x (-2) = -10

• 2 x (-5) = 10

• 4 x (-2) = 8

• 4 x (-3) = -12

Multiple Choice

The price of jeans was reduced $6 per week for 7 weeks.  By how much did the price of the jeans change over the 7 weeks?

• 42

• -42

• 20

• -20

Multiple Choice

Are the rules for multiplying integers the same for dividing integers? 

• Yes

• No

Multiple Choice

Liz said that multiplying 2 negative numbers will give you a positive answer.  Her friend Heather said that was the weirdest thing ever and that your answer is going to be negative. Who is right? 

• Liz

• Heather

Multiple Choice

Alex thinks that if you multiply a negative and a positive that you will get a negative answer ALWAYS! His friend Tyler said he was wrong and the sign in your answer depends on how big and small the numbers are. Who is CORRECT? 

• Alex 

• Tyler

Multiple Choice

Over a 6 week period, the price of a gallon of gas increased by 18 cents.   If the price changed the same amount each week, what was the average change per week?

• -3 cents

• 3 cents

• 108 cents

• -108 cents

Multiple Choice

At 7:00 pm the temperature was 40F.  If the temperature dropped steadily at a rate of 6 degrees per hour, what was the temperature at 11:00 pm?

• 22 degrees

• -16 degrees

• 16 degrees

• 64 degrees

Multiple Choice

As a cold front passed through Temple, the temperature changed steadily over 6 hours.  Altogether it change -18 degrees.  What was the change in temperature each hour for the 6 hours?

• -18 ÷ 6 = -3 degrees

• 18 ÷ 6 = 3 degrees

• 18 + 6 = 24 degrees

• 18 - 6 = 12 degrees

Multiple Choice

Which of the following expressions is equivalent to -8?

I: -32/-4

II: -3 - (-11)

III: (2)(-4)

IV:6 + (-14)

• I and II only

• III and IV only

• I, II, III and IV

• II, III and IV only

Multiple Choice

Joey has $40 in his lunch account at school. He spends $5 each day to eat in the cafeteria. What is Joey’s lunch account balance after two weeks of buying his lunch in the cafeteria?

• $5

• -$10

• $200

• $35

Multiple Choice

-40 ÷ -20 =

• -60

• 20

• 2

• -20

Multiple Choice

40 ÷ (-5) =

• 40

• -40

• 7

• -8

Multiple Choice

44/-4=

• 11
• -8
• -11
• -1/11

Multiple Choice

-8(0)=

• -8

• 8

• 0

• -80

Multiple Choice

A mountain climber climbed up a cliff 50 feet at a time. He did this 5 times in one day. What was the overall change in his elevation?

• -10 feet

• 10 feet

• -250 feet

• 250 feet

Multiple Choice

Over a 6 week period, the price of a gallon of gas increased by 18 cents.   If the price changed the same amount each week, what was the average change per week?

• -3 cents

• 3 cents

• 108 cents

• -108 cents

Multiple Choice

• 5

• -5

• 3

• -3