Math

QuestionFind two numbers that round to 8.21 when rounded to the nearest hundredth.

Studdy Solution

STEP 1

Assumptions1. We are rounding to the nearest hundredth. . We need to find two different numbers that round to8.21.

STEP 2

First, we need to understand what it means to round to the nearest hundredth. The hundredths place is the second digit after the decimal point. When rounding to the nearest hundredth, we look at the digit in the thousandths place (the third digit after the decimal point). If this digit is5 or greater, we round up. If it is less than5, we round down.

STEP 3

To find a number that rounds down to8.21, we can choose a number that is slightly less than8.21 but greater than8.20. For example,8.209 would round down to8.21 because the digit in the thousandths place (9) is greater than5.
8.2098.218.209 \approx8.21

STEP 4

To find a number that rounds up to8.21, we can choose a number that is slightly more than8.21 but less than8.22. For example,8.214 would round up to8.21 because the digit in the thousandths place (4) is less than.
8.2148.218.214 \approx8.21So, the two different numbers that round to8.21 when rounded to the nearest hundredth are8.209 and8.214.

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