multiply & divide integer word problems

Match the following statements with their results.

• Dividing two negative numbers results in a...

• NEGATIVE

• Multiplying two negative numbers results in a...

• DEPENDS ON WHICH NUMBER IS LARGER.

• The result of multiplying a negative and a positive number...

• POSITIVE

Match the following statements with their results.

• Multiplying a negative and a positive number results in a...

• Negative

• Multiplying two positive numbers results in a...

• Positive

• The result of adding two numbers depends on which is bigger.

• Depends on which is bigger.

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

• POSITIVE

• NEGATIVE

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

• Positive

• Negative

What operation would you use to solve this problem?

If the temperature drops 5 degrees every hour for 9 hours, what is the change in temperature?

• Multiplication

• Division

Answer explanation

The temperature is dropping 5 degrees every hour for 9 hours. This is a repeated process.

-5 * 9 = -45

The temperature dropped 45 degrees.

Match the following scenarios with the correct operation to solve them.

• The football team lost 8 yards on every play for 5 plays. What is the total change in yards?

• 40 ÷ (-8) = -5

• Calculate the result of dividing 40 by -8.

• Division

• Divide 40 by -8 to find the number of plays.

• Multiplication

• Calculate the result of dividing 40 by -5.

• 40 ÷ (-5) = -8

Answer explanation

Losing 8 yards is a -8. They do this 5 times.

-8 * 5= -40

The total change in yards is that the team lost 40 yards.

What operation would you use to solve this problem?

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?

• Multiplication

• Division

Answer explanation

The climber is climbing 50 feet 5 times in one day.

50 * 5 = 250

His overall change in elevation was 250 feet. He climbed 250 feet.

What operation would you use to solve this problem?

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 change per week?

• Multiplication

• Division

Answer explanation

18/6 = 3

Each week the price of gas increased by 3 cents.

We're trying to figure out 6 * _?_ = 18.

Marco measured the height of his snowman at the beginning of the week and again after 5 days. The change in height was -10 inches. The snowman melted (a)   per day.

• 2 inches per day
• -2 inches per day

Answer explanation

-10/5 = -2

The temperature increased over 12 hours. Altogether it changed 24 degrees. The change in temperature each hour for the 12 hours was (a)  

• 2 degrees per hour
• -2 degrees per hour

Answer explanation

24/12 = 2

The temperature changed 2 degrees per hour.

We know that altogether (total) the temperature changed 24 degrees. We're trying to figure out:

12 * _?__ = 24