Let’s evaluate each expression one by one to see which ones equal
-8.
---
1. `16 - 1/2`
= 16 - 0.5 =
15.5 →
✘ Not -8
---
2. `-16/3 × 1/2`
= (-16 × 1) / (3 × 2) =
-16/6 = -8/3 ≈ -2.666... →
✘ Not -8
---
3. `-1.25 × 6.4`
First, convert to fractions:
-1.25 = -5/4
6.4 = 64/10 = 32/5
So:
(-5/4) × (32/5) = (-5 × 32) / (4 × 5) = (-160)/20 =
-8 ✔
✔️
This equals -8
---
4. `-2.4` → obviously not -8 → ✘
---
5. `12 × (-2/3)`
= (12 × -2) / 3 = -24 / 3 =
-8 ✔
✔️
This equals -8
---
6. `-1(-8)`
= -1 × -8 =
8 →
✘ Not -8
---
7. `-32 × (-1/4)`
= (-32) × (-1/4) = 32/4 =
8 →
✘ Not -8
---
8. `-18 ÷ 1/2`
Dividing by 1/2 is same as multiplying by 2:
-18 × 2 =
-36 →
✘ Not -8
---
9. `-24 × 1/3`
= -24/3 =
-8 ✔
✔️
This equals -8
---
10. `-1.75 - 4.6`
= -(1.75 + 4.6) = -6.35 →
✘ Not -8
---
11. `-2 - 4`
= -6 →
✘ Not -8
---
12. `12 × (-1/3)`
= -12/3 =
-4 →
✘ Not -8
---
13. `-32 × (1/4)`
= -32/4 =
-8 ✔
✔️
This equals -8
---
14. `1.6 - 5`
= -3.4 →
✘ Not -8
---
15. `1.5 - 6`
= -4.5 →
✘ Not -8
---
##
✔ Final Answer: The expressions that equal
-8 are:
-
-1.25 × 6.4
-
12 × (-2/3)
-
-24 × 1/3
-
-32 × (1/4)
---
✔ So you should check the boxes next to these four expressions.
> 💡 Tip: Always simplify fractions or convert decimals to fractions for accuracy. Watch signs carefully — especially with negative numbers and division/multiplication!
Let me know if you’d like a visual breakdown of any step!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing rational numbers worksheet 7th grade.