To find 27% of 16 using multiplication by a decimal, you first need to convert the percentage into a decimal. To do this, you divide the percentage by 100.
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Convert 27% to a decimal: \[ 27% = \frac{27}{100} = 0.27 \]
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Now multiply this decimal by 16: \[ 0.27 \times 16 \]
To perform the multiplication: \[ 0.27 \times 16 = 4.32 \]
So, 27% of 16 is 4.32.
Estimation to Check Your Answer
To estimate and check your answer, you can round the percentage and the whole number to simpler values.
- Round 27% to 30%.
- Round 16 to 20.
Now, calculate 30% of 20:
- 30% of 20 can be calculated by multiplying: \[ 0.30 \times 20 = 6 \]
This estimation suggests that 27% of 16 should be around 6.
Since 4.32 is much lower than the estimated value of 6, you can confirm that while the calculations are correct, the original proportion means that 27% of 16 is indeed less than half of 20. Thus, you can conclude that your initial answer of 4.32 is reasonable given that 30% was an overestimate.
In summary:
- Actual calculation: 27% of 16 = 4.32
- Estimated value (30% of 20) = 6, which shows that the calculation is reasonable when considered in context.
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