Which is the most accurate way to estimate 68% of 432?

1/4 x 430
7/10 x 430
7/10 x 450
1/4 x 450

1 answer

To estimate 68% of 432, we can find a close approximation that makes the calculation simpler. One straightforward method for estimating percentages is to use fractions that are easy to work with.

68% can be approximated as 70% (which is 7/10). So we can look for the closest easy multiplication.

  1. 1/4 x 430:
    \( 430 \div 4 = 107.5 \)
    \( 1/4 \times 430 \approx 107.5 \)

  2. 7/10 x 430:
    \( 0.7 \times 430 = 301 \)
    This is a good estimate because it approximates 70% of 430.

  3. 7/10 x 450:
    \( 0.7 \times 450 = 315 \)
    This is also an estimate but it uses 450 instead of 430.

  4. 1/4 x 450:
    \( 450 \div 4 = 112.5 \) This is a smaller estimate.

Among the options, 7/10 x 430 gives the best and most accurate estimate for 68% of 432, as it closely approximates the value while remaining easy to calculate.

Thus, the most accurate way to estimate 68% of 432 is 7/10 x 430.