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Answer :
To find the most accurate way to estimate 28% of 187 from the given options, we need to compare how close each option is to the actual value of 28% of 187.
1. Calculate 28% of 187:
- Convert the percentage to a decimal: [tex]\(28\% = 0.28\)[/tex].
- Multiply: [tex]\(0.28 \times 187 = 52.36\)[/tex].
Now, let's evaluate each given option to see which is closest to 52.36.
2. Evaluate each option:
- Option A: [tex]\(\frac{7}{20} \times 180\)[/tex]
- Calculate: [tex]\(\frac{7}{20} = 0.35\)[/tex] and [tex]\(0.35 \times 180 = 63\)[/tex].
- Option B: [tex]\(\frac{3}{10} \times 190\)[/tex]
- Calculate: [tex]\(\frac{3}{10} = 0.3\)[/tex] and [tex]\(0.3 \times 190 = 57\)[/tex].
- Option C: [tex]\(\frac{1}{10} \times 190\)[/tex]
- Calculate: [tex]\(\frac{1}{10} = 0.1\)[/tex] and [tex]\(0.1 \times 190 = 19\)[/tex].
- Option D: [tex]\(\frac{4}{5} \times 190\)[/tex]
- Calculate: [tex]\(\frac{4}{5} = 0.8\)[/tex] and [tex]\(0.8 \times 190 = 152\)[/tex].
3. Compare the estimates to 52.36:
- Option A: 63 (difference of about 10.64 from 52.36)
- Option B: 57 (difference of about 4.64 from 52.36)
- Option C: 19 (difference of about 33.36 from 52.36)
- Option D: 152 (difference of about 99.64 from 52.36)
The closest estimate to 52.36 is Option B, which gives a value of 57. Therefore, the most accurate way to estimate 28% of 187 from the given options is [tex]\(\frac{3}{10} \times 190\)[/tex].
1. Calculate 28% of 187:
- Convert the percentage to a decimal: [tex]\(28\% = 0.28\)[/tex].
- Multiply: [tex]\(0.28 \times 187 = 52.36\)[/tex].
Now, let's evaluate each given option to see which is closest to 52.36.
2. Evaluate each option:
- Option A: [tex]\(\frac{7}{20} \times 180\)[/tex]
- Calculate: [tex]\(\frac{7}{20} = 0.35\)[/tex] and [tex]\(0.35 \times 180 = 63\)[/tex].
- Option B: [tex]\(\frac{3}{10} \times 190\)[/tex]
- Calculate: [tex]\(\frac{3}{10} = 0.3\)[/tex] and [tex]\(0.3 \times 190 = 57\)[/tex].
- Option C: [tex]\(\frac{1}{10} \times 190\)[/tex]
- Calculate: [tex]\(\frac{1}{10} = 0.1\)[/tex] and [tex]\(0.1 \times 190 = 19\)[/tex].
- Option D: [tex]\(\frac{4}{5} \times 190\)[/tex]
- Calculate: [tex]\(\frac{4}{5} = 0.8\)[/tex] and [tex]\(0.8 \times 190 = 152\)[/tex].
3. Compare the estimates to 52.36:
- Option A: 63 (difference of about 10.64 from 52.36)
- Option B: 57 (difference of about 4.64 from 52.36)
- Option C: 19 (difference of about 33.36 from 52.36)
- Option D: 152 (difference of about 99.64 from 52.36)
The closest estimate to 52.36 is Option B, which gives a value of 57. Therefore, the most accurate way to estimate 28% of 187 from the given options is [tex]\(\frac{3}{10} \times 190\)[/tex].
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