7th Grade Math · Unit 2
Multiply and divide integers and decimals, including a short situation.
Same signs, positive
A negative times a negative is positive.
A negative divided by a negative is positive.
Different signs, negative
A positive times a negative is negative.
A positive divided by a negative is negative, and so is a negative divided by a positive.
More than two factors
Multiply from left to right.
Each new negative sign flips the result.
A repeated change
A change that repeats is a product.
A drop or a debt is a negative factor. Sharing a debt equally is division.
One multiplication or division with integers.
A negative times a negative is a positive.
(−4) × (−6) = 24
Answer: 24
A positive times a negative is a negative.
(−6) × 4 = −24
Answer: −24
A negative times a negative is a positive.
(−7) × (−3) = 21
Answer: 21
A positive times a negative is a negative.
8 × (−5) = −40
Answer: −40
A negative divided by a positive, or a positive divided by a negative, is negative.
(−36) ÷ 6 = −6
Answer: −6
A negative divided by a negative is positive.
(−42) ÷ (−7) = 6
Answer: 6
A negative divided by a positive, or a positive divided by a negative, is negative.
27 ÷ (−3) = −9
Answer: −9
A negative times a negative is a positive.
(−9) × (−8) = 72
Answer: 72
Zero times any number is zero.
(−5) × 0 = 0
Answer: 0
A negative divided by a positive, or a positive divided by a negative, is negative.
48 ÷ (−8) = −6
Answer: −6
A positive times a negative is a negative.
(−11) × 2 = −22
Answer: −22
Decimals, or three integer factors.
A positive times a negative is a negative.
−2.5 × 0.4 = −1
Answer: −1
A positive times a negative is a negative.
−1.5 × 4 = −6
Answer: −6
A negative times a negative is a positive.
−0.2 × −3 = 0.6
Answer: 0.6
A positive divided by a negative, or a negative divided by a positive, is negative.
2.4 ÷ −0.6 = −4
Answer: −4
A positive divided by a negative, or a negative divided by a positive, is negative.
−3.6 ÷ 0.9 = −4
Answer: −4
A positive times a negative is a negative.
−0.4 × 0.5 = −0.2
Answer: −0.2
Multiply from left to right. Two negatives make a positive. Then use that sign with the next factor.
(−2) × (−3) = 6
6 × (−4) = −24
Answer: −24
A negative times a negative is a positive.
−8 × −1.5 = 12
Answer: 12
A positive times a negative is a negative.
1.2 × −10 = −12
Answer: −12
A negative divided by a negative is positive.
−4.5 ÷ −1.5 = 3
Answer: 3
A positive times a negative is a negative.
−6 × 0.3 = −1.8
Answer: −1.8
A repeated change, or a debt shared equally.
A repeated change is a product. A drop or a debt is negative.
Total change = −3 × 4
−3 × 4 = −12
The total change is −12 degrees.
Answer: −12 degrees
A repeated change is a product. A drop or a debt is negative.
Total change = −4 × 5
−4 × 5 = −20
The total change is −20 degrees.
Answer: −20 degrees
Sharing equally is division. A debt is negative.
Each share = −56 ÷ 7
−56 ÷ 7 = −8
Each share is −8 dollars.
Answer: −8 dollars
A repeated change is a product. A drop or a debt is negative.
Total change = −2.5 × 4
−2.5 × 4 = −10
The total change is −10 dollars.
Answer: −10 dollars
A repeated change is a product. A drop or a debt is negative.
Total change = −1.5 × 8
−1.5 × 8 = −12
The total change is −12 meters.
Answer: −12 meters
Sharing equally is division. A debt is negative.
Each share = −36 ÷ 4
−36 ÷ 4 = −9
Each share is −9 dollars.
Answer: −9 dollars
A repeated change is a product. A drop or a debt is negative.
Total change = −0.4 × 5
−0.4 × 5 = −2
The total change is −2 meters.
Answer: −2 meters
A repeated change is a product. A drop or a debt is negative.
Total change = −7 × 3
−7 × 3 = −21
The total change is −21 points.
Answer: −21 points
Sharing equally is division. A debt is negative.
Each share = −45 ÷ 9
−45 ÷ 9 = −5
Each share is −5 dollars.
Answer: −5 dollars
A repeated change is a product. A drop or a debt is negative.
Total change = −2 × 6
−2 × 6 = −12
The total change is −12 degrees.
Answer: −12 degrees
A repeated change is a product. A drop or a debt is negative.
Total change = −3 × 7
−3 × 7 = −21
The total change is −21 meters.
Answer: −21 meters
Need help multiplying and dividing rational numbers?
Book a Session with Amy