7th grade · Math · Unit 13 of 15
Multiply & Divide Signed Numbers
Sign rules
What your child practices
Multiplying and dividing positive and negative numbers (including fractions), using the sign rules, and real-world changes such as falling temperatures.
Minnesota K-12 Academic Standards benchmark: 7.3.5.6 · multiplying and dividing positive and negative rational numbers
How we explain it
Children can open this short lesson before they practice.
- Multiply or divide the numbers as usual.
- Same signs give a positive answer.
- Different signs give a negative answer.
Example: What is −6 × 4? 6 × 4 = 24. Different signs: negative. Answer: −24
Multiply & Divide Signed Numbers in Minnesota
In the Minnesota K-12 Academic Standards, this is unit 13 of 15 in 7th grade Math, after Center & Spread and before Proportional Relationships.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
The temperature falls 5 degrees every hour for 5 hours. What is the total change in temperature, in degrees? (Use a negative number for a fall.)
answer box
-25
Hint: 5 × (−5) = −25.
Question 2
What is −7 × 6?
−7 × 6 = ?
answer box
-42
Hint: Multiply the sizes, then use the sign rule: same signs positive, different signs negative.
Question 3
What is −1/3 × 6?
- -2
- -3
- -18
- 2
-2
Hint: 6 ÷ 3 = 2. One factor is negative, so the answer is negative.
Question 4
What is 28 ÷ (−7)?
28 ÷ (−7) = ?
answer box
-4
Hint: Divide the sizes, then use the sign rule: same signs positive, different signs negative.
Question 5
A change of −$16 is shared equally by 2 friends. What is each friend's change, in dollars?
answer box
-8
Hint: −16 ÷ 2 = −8.
Question 6
Without multiplying: is 4 × (−6) × 2 positive or negative?
- Positive
- Negative
Negative
Hint: Count the negative factors. An even number of them gives a positive product; an odd number gives a negative one.