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Estimate the percent of a number:

Which is the most accurate way to estimate [tex]$26\%$[/tex] of 82?

A. [tex]\frac{1}{4} \times 84[/tex]
B. [tex]\frac{1}{3} \times 84[/tex]
C. [tex]\frac{3}{4} \times 84[/tex]
D. [tex]\frac{2}{3} \times 84[/tex]

Answer :

To estimate [tex]\(26\%\)[/tex] of [tex]\(82\)[/tex], we can make the calculation easier by changing the numbers slightly. Here's how we can do it:

1. Round the Number: Start by rounding [tex]\(82\)[/tex] to a nearby number that makes calculations simpler. In this case, we'll round [tex]\(82\)[/tex] to [tex]\(84\)[/tex].

2. Estimate the Percent: Next, we'll approximate [tex]\(26\%\)[/tex]. [tex]\(26\%\)[/tex] is close to [tex]\(25\%\)[/tex], which is exactly one-fourth of a number.

3. Calculate One-fourth: Now, find one-fourth of [tex]\(84\)[/tex]. This is done by multiplying [tex]\(84\)[/tex] by [tex]\(\frac{1}{4}\)[/tex].

4. Estimate the Value: Perform the calculation [tex]\(\frac{1}{4} \times 84\)[/tex]. This gives us [tex]\(21\)[/tex].

So, the most accurate way to estimate [tex]\(26\%\)[/tex] of [tex]\(82\)[/tex] is using [tex]\(\frac{1}{4} \times 84\)[/tex], and the estimated value is [tex]\(21\)[/tex].

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