Jared said "7.48 rounds to 7.5 and 7.5 rounds to 8" so 7.48 rounds to a right and explain if Jared's reasoning is correct.
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He's not right. 7.48 is less than 7.5. It rounds down to 7.00, if he wants to round to the nearest whole number.
If he wants to round to the nearest tenth, then he'd round up to 7.5.
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To determine if Jared's reasoning is correct, let's first understand the rounding process.
Rounding is the process of approximating a number to a specified decimal place, typically based on the digit immediately following that decimal place. When rounding to the nearest tenth (one decimal place), we look at the digit in the hundredth (second decimal place).
Now, let's analyze what Jared said. He stated that 7.48 rounds to 7.5 and 7.5 rounds to 8. Let's check if this is accurate.
To round 7.48 to the nearest tenth, we observe the digit in the hundredth place, which is 4. Since 4 is less than 5, the number in the tenth place (7.4) remains the same. Hence, 7.48 rounds down to 7.4.
On the other hand, when rounding 7.5 to the nearest whole number, we look at the digit in the tenth place, which is 5. When the digit is 5 or greater, we round up. Therefore, 7.5 rounds up to 8.
So, in summary, Jared's reasoning is partially correct. 7.48 does round to 7.5, but it actually rounds down to 7.4, not up to 8 as he stated.