QuestionSelect numbers that round to 76.73 to the nearest hundredth: a) 76.732 b) 76.731 c) 76.736 d) 76.737 e) 76.739
Studdy Solution
STEP 1
Assumptions1. We are rounding to the nearest hundredth. . The number we are rounding to is76.73.
STEP 2
To round to the nearest hundredth, we need to look at the digit in the thousandths place. If the digit is5 or greater, we round up. If it's less than5, we keep the digit in the hundredths place as it is.
STEP 3
Now, let's apply this rule to each of the given options.
a)76.732 The digit in the thousandths place is2, which is less than5. So, we keep the digit in the hundredths place as it is. Therefore,76.732 rounds to76.73.
b)76.731 The digit in the thousandths place is1, which is less than5. So, we keep the digit in the hundredths place as it is. Therefore,76.731 rounds to76.73.
c)76.736 The digit in the thousandths place is6, which is greater than5. So, we round up the digit in the hundredths place. Therefore,76.736 rounds to76.74.
d)76.737 The digit in the thousandths place is7, which is greater than5. So, we round up the digit in the hundredths place. Therefore,76.737 rounds to76.74.
e)76.739 The digit in the thousandths place is9, which is greater than5. So, we round up the digit in the hundredths place. Therefore,76.739 rounds to76.74.
STEP 4
From the above calculations, we can see that the numbers that round to76.73 to the nearest hundredth are76.732 and76.731.
So, the answer is a)76.732 and b)76.731.
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