To convert the integer 5316 into a decimal using long division, we need to divide it by 1000 since 5316 is already expressed in whole numbers.
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Understanding the long division: We want to express 5316 as a decimal: \[ 5316 \div 1000 \]
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Performing the division:
- 1000 goes into 5316 five times (since \(5 \times 1000 = 5000\)).
- We write 5 before the decimal point, as this is the whole number part.
- Next, we subtract 5000 from 5316, which leaves us with 316.
- We then continue the division by converting 316 into a decimal.
- Since we are dividing by 1000, we can express this as: \[ 5.316 \]
- There are three decimal places in the divisor (1000), so we append three zeros.
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Resulting decimal approximation:
- Thus, \( 5316 \div 1000 = 5.316 \).
From the response options provided:
- The closest option that represents the full accurate decimal of \( 5.316 \) is 5.36 (if rounding to two decimal places).
So, the correct response is: 5.36