To solve the problem and determine the most accurate estimate for \( 89\% \) of 35, let's break it down step by step.
Step 1: Understand the Problem
We need to find \( 89\% \) of 35. Mathematically, this is expressed as:
\[
89\% \text{ of } 35 = \frac{89}{100} \times 35
\]
Step 2: Simplify the Calculation
First, calculate \( \frac{89}{100} \times 35 \):
\[
\frac{89}{100} \times 35 = \frac{89 \times 35}{100}
\]
Step 3: Estimate \( 89\% \)
Since \( 89\% \) is very close to \( 90\% \), we can use \( 90\% \) as a good approximation. \( 90\% \) is equivalent to \( \frac{9}{10} \). Therefore:
\[
89\% \approx 90\% = \frac{9}{10}
\]
Step 4: Compare with Given Options
The problem provides the following options:
1. \( \frac{9}{10} \times 35 \)
2. \( \frac{1}{5} \times 35 \)
3. \( \frac{1}{10} \times 35 \)
4. \( \frac{3}{10} \times 35 \)
From our estimation, \( 89\% \) is closest to \( \frac{9}{10} \). Therefore, the most accurate estimate is:
\[
\frac{9}{10} \times 35
\]
Step 5: Verify the Other Options
- \( \frac{1}{5} \times 35 \): This is \( 20\% \) of 35, which is much smaller than \( 89\% \).
- \( \frac{1}{10} \times 35 \): This is \( 10\% \) of 35, which is even smaller.
- \( \frac{3}{10} \times 35 \): This is \( 30\% \) of 35, which is still much smaller than \( 89\% \).
Final Answer
The most accurate estimate for \( 89\% \) of 35 is:
\[
\boxed{\frac{9}{10} \times 35}
\]
Parent Tip: Review the logic above to help your child master the concept of 7th grade math.
