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Answer :
To estimate [tex]\(30\%\)[/tex] of 937, you need to find an expression that is as close as possible to the actual value. Let's break this down:
1. Calculate 30% of 937:
[tex]\[
30\% \times 937 = 0.3 \times 937 = 281.1
\][/tex]
2. Analyze the given options one by one:
- Option 1: [tex]\(\frac{13}{20} \times 940\)[/tex]
- This corresponds to multiplying 65% of 940. Let's see how close this is to the correct value:
[tex]\[
\frac{13}{20} \times 940 = 0.65 \times 940 = 611
\][/tex]
- Clearly, this is much larger than the value we are looking for.
- Option 2: [tex]\(\frac{9}{10} \times 940\)[/tex]
- This corresponds to multiplying 90% of 940. Let's calculate this:
[tex]\[
\frac{9}{10} \times 940 = 0.9 \times 940 = 846
\][/tex]
- This is also significantly larger than 281.1.
- Option 3: [tex]\(\frac{1}{5} \times 940\)[/tex]
- This means multiplying 20% of 940:
[tex]\[
\frac{1}{5} \times 940 = 0.2 \times 940 = 188
\][/tex]
- This value is noticeably less than 281.1.
- Option 4: [tex]\(\frac{3}{10} \times 940\)[/tex]
- Here, we compute 30% of 940:
[tex]\[
\frac{3}{10} \times 940 = 0.3 \times 940 = 282
\][/tex]
- This is very close to the value of 281.1 that we calculated.
3. Conclusion:
The most accurate estimate for [tex]\(30\%\)[/tex] of 937 is [tex]\(\frac{3}{10} \times 940\)[/tex], because it evaluates to 282, which is closest to 281.1. Thus, the correct choice is [tex]\(\frac{3}{10} \times 940\)[/tex].
1. Calculate 30% of 937:
[tex]\[
30\% \times 937 = 0.3 \times 937 = 281.1
\][/tex]
2. Analyze the given options one by one:
- Option 1: [tex]\(\frac{13}{20} \times 940\)[/tex]
- This corresponds to multiplying 65% of 940. Let's see how close this is to the correct value:
[tex]\[
\frac{13}{20} \times 940 = 0.65 \times 940 = 611
\][/tex]
- Clearly, this is much larger than the value we are looking for.
- Option 2: [tex]\(\frac{9}{10} \times 940\)[/tex]
- This corresponds to multiplying 90% of 940. Let's calculate this:
[tex]\[
\frac{9}{10} \times 940 = 0.9 \times 940 = 846
\][/tex]
- This is also significantly larger than 281.1.
- Option 3: [tex]\(\frac{1}{5} \times 940\)[/tex]
- This means multiplying 20% of 940:
[tex]\[
\frac{1}{5} \times 940 = 0.2 \times 940 = 188
\][/tex]
- This value is noticeably less than 281.1.
- Option 4: [tex]\(\frac{3}{10} \times 940\)[/tex]
- Here, we compute 30% of 940:
[tex]\[
\frac{3}{10} \times 940 = 0.3 \times 940 = 282
\][/tex]
- This is very close to the value of 281.1 that we calculated.
3. Conclusion:
The most accurate estimate for [tex]\(30\%\)[/tex] of 937 is [tex]\(\frac{3}{10} \times 940\)[/tex], because it evaluates to 282, which is closest to 281.1. Thus, the correct choice is [tex]\(\frac{3}{10} \times 940\)[/tex].
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