Question
Which choice correctly uses compensation to multiply 4×38
?
(1 point)
Responses
4×40=1604×2=8160−8=152
4 × 40 = 160 4 × 2 = 8 160 - 8 = 152
4×40=1604×2=8160+8=168
4 × 40 = 160 4 × 2 = 8 160 + 8 = 168
4×40=160160×2=320
4 × 40 = 160 160 × 2 = 320
4×40=1604×2=8160×8=1,280
?
(1 point)
Responses
4×40=1604×2=8160−8=152
4 × 40 = 160 4 × 2 = 8 160 - 8 = 152
4×40=1604×2=8160+8=168
4 × 40 = 160 4 × 2 = 8 160 + 8 = 168
4×40=160160×2=320
4 × 40 = 160 160 × 2 = 320
4×40=1604×2=8160×8=1,280
Answers
GPT-4o mini
The correct choice that uses compensation to multiply \( 4 \times 38 \) is:
**4 × 40 = 160 4 × 2 = 8 160 - 8 = 152**
Here's how it works:
1. You compensate by changing \( 38 \) to \( 40 \) (which is easier to work with).
2. Multiply \( 4 \times 40 = 160 \).
3. Since you added \( 2 \) to \( 38 \) (making it \( 40 \)), you need to account for that by subtracting the product of \( 4 \times 2 = 8 \).
4. Finally, you subtract \( 8 \) from \( 160 \): \( 160 - 8 = 152 \).
So, the result is \( 4 \times 38 = 152 \).
**4 × 40 = 160 4 × 2 = 8 160 - 8 = 152**
Here's how it works:
1. You compensate by changing \( 38 \) to \( 40 \) (which is easier to work with).
2. Multiply \( 4 \times 40 = 160 \).
3. Since you added \( 2 \) to \( 38 \) (making it \( 40 \)), you need to account for that by subtracting the product of \( 4 \times 2 = 8 \).
4. Finally, you subtract \( 8 \) from \( 160 \): \( 160 - 8 = 152 \).
So, the result is \( 4 \times 38 = 152 \).