Question
JoAnne added 46, 29, and 52, and she said that the answer was 147. Is this close to the correct answer?
Which statements show how rounding can be used to explain why or why not?
A.
No, this is not close because 46 rounds to 40, 29 rounds to 20, and 52 rounds to 50.
and 147 is not close to 110.
B.
No, this is not close because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50.
and 147 is not close to 130.
C.
Yes, this is a close answer because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50.
and this is close to 147.
D.
Yes, this is a close answer because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 60.
and this is close to 147.
Which statements show how rounding can be used to explain why or why not?
A.
No, this is not close because 46 rounds to 40, 29 rounds to 20, and 52 rounds to 50.
and 147 is not close to 110.
B.
No, this is not close because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50.
and 147 is not close to 130.
C.
Yes, this is a close answer because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50.
and this is close to 147.
D.
Yes, this is a close answer because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 60.
and this is close to 147.
Answers
GPT-4o mini
To determine whether JoAnne's addition of 46, 29, and 52 yielding 147 is close to the correct answer, let's first add the numbers:
46 + 29 + 52 = 127.
Now, let's see how rounding can be used:
- Rounding 46 to the nearest ten gives 50.
- Rounding 29 to the nearest ten gives 30.
- Rounding 52 to the nearest ten gives 50.
So, if we add these rounded numbers: 50 + 30 + 50 = 130.
JoAnne's answer of 147 is not close to the actual sum of 127, and it is also not close compared to the rounded sum of 130.
Looking at the options:
A. Incorrect reasoning; 46 rounds to 40, which changes the sum.
B. Correct reasoning; 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50, leading to 130, which is not close to 147.
C. Incorrect; it states that 147 is close when it actually is not.
D. Incorrect; it states that 52 rounds to 60, which is not true.
So the best choice is **B**: "No, this is not close because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50, and 147 is not close to 130."
46 + 29 + 52 = 127.
Now, let's see how rounding can be used:
- Rounding 46 to the nearest ten gives 50.
- Rounding 29 to the nearest ten gives 30.
- Rounding 52 to the nearest ten gives 50.
So, if we add these rounded numbers: 50 + 30 + 50 = 130.
JoAnne's answer of 147 is not close to the actual sum of 127, and it is also not close compared to the rounded sum of 130.
Looking at the options:
A. Incorrect reasoning; 46 rounds to 40, which changes the sum.
B. Correct reasoning; 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50, leading to 130, which is not close to 147.
C. Incorrect; it states that 147 is close when it actually is not.
D. Incorrect; it states that 52 rounds to 60, which is not true.
So the best choice is **B**: "No, this is not close because 46 rounds to 50, 29 rounds to 30, and 52 rounds to 50, and 147 is not close to 130."