Multiplying and Dividing Integers

Show your work for each problem.

1.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
Same signs give a positive result: . Multiply the absolute values , then apply the positive sign.
2.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
Different signs give a negative result: . The product of and is , but with a negative sign.
3.
Calculate:
Answer: 14
. Two negatives multiplied together give a positive. .
4.
Calculate:
Answer: -40
. Different signs give a negative result. , so the answer is .
5.
Calculate step by step.
Answer: 36
1. What are the signs of both numbers? negative
2. Are the signs the same or different? same
3. What is the sign of the result when signs are the same? positive
4. What is ? 36
6.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
. Different signs give a negative result. , and the result is negative.
7.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
. Same signs (both negative) give a positive result. .
8.
Calculate:
Answer: 72
. Both numbers are negative, so the result is positive. .
9.
Calculate:
Answer: -7
. Different signs give a negative result. , so the answer is .
10.
Calculate step by step.
Answer: 8
1. Are both numbers negative? yes
2. Same signs give what kind of result? positive
3. What is ? 8
11.
The temperature drops 4 degrees every hour. What is the total change after 6 hours?
Answer: -24
1. What number represents a temperature drop of 4 degrees? -4
2. How many hours pass? 6
3. What is the expression to calculate the total change? (-4) × 6
4. What is the final answer? -24
12.
Calculate step by step.
Answer: -60
1. What is the sign of 15? positive
2. What is the sign of -4? negative
3. Are the signs the same or different? different
4. What is ? 60
5. What is the final answer with the correct sign? -60
13.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
. Three negatives (odd number) = negative result. , so the answer is .
14.
Calculate:
Answer: -40
. Three negatives give a negative result. , so the answer is .
15.
Calculate:
Answer: -24
. Three negatives (odd) = negative. , so the answer is .
16.
Calculate step by step.
Answer: 16
1. How many negative numbers are being multiplied? 4
2. Is 4 an even or odd number? even
3. Even number of negatives gives what sign? positive
4. What is ? 16
17.
A submarine descends 8 meters per minute. How far below sea level is it after 15 minutes?
Answer: -120
1. What number represents descending 8 meters? -8
2. How many minutes does it descend? 15
3. Write the expression for total depth (-8) × 15
4. What are the signs? different
5. What is the final depth? -120