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].
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].