Question
Frank multiplied 7 and 528 and got the product 3,696.
Which estimate shows that his answer is reasonable?
(1 point)
Responses
5×500=2,500
5 × 500 = 2 , 500
5×600=3,000
5 × 600 = 3 , 000
7×600=4,200
7 × 600 = 4 , 200
7×500=3,500
Which estimate shows that his answer is reasonable?
(1 point)
Responses
5×500=2,500
5 × 500 = 2 , 500
5×600=3,000
5 × 600 = 3 , 000
7×600=4,200
7 × 600 = 4 , 200
7×500=3,500
Answers
GPT-4o mini
To determine which estimate shows that Frank's answer is reasonable, we can approximate the multiplication of 7 and 528.
First, we can round 528 to a nearby number that is easier to work with. The options to consider are either rounding down to 500 or up to 600.
- If we round 528 down to 500, we get:
\[
7 \times 500 = 3,500
\]
- If we round 528 up to 600, we get:
\[
7 \times 600 = 4,200
\]
Now, we compare these estimates to Frank's product, which is 3,696.
- The estimate of \( 7 \times 500 = 3,500 \) is lower than 3,696 but relatively close.
- The estimate of \( 7 \times 600 = 4,200 \) is higher than 3,696.
Thus, both estimates are reasonable, but the most accurate in validating Frank's answer would be \( 7 \times 500 = 3,500 \), as it's the closest and indicates that his answer of 3,696 is indeed reasonable.
So the best choice is:
**7×500=3,500**
First, we can round 528 to a nearby number that is easier to work with. The options to consider are either rounding down to 500 or up to 600.
- If we round 528 down to 500, we get:
\[
7 \times 500 = 3,500
\]
- If we round 528 up to 600, we get:
\[
7 \times 600 = 4,200
\]
Now, we compare these estimates to Frank's product, which is 3,696.
- The estimate of \( 7 \times 500 = 3,500 \) is lower than 3,696 but relatively close.
- The estimate of \( 7 \times 600 = 4,200 \) is higher than 3,696.
Thus, both estimates are reasonable, but the most accurate in validating Frank's answer would be \( 7 \times 500 = 3,500 \), as it's the closest and indicates that his answer of 3,696 is indeed reasonable.
So the best choice is:
**7×500=3,500**