Welcome to the article Which expression will give a better whole number estimate for tex 6 313 div 68 tex A tex 6 300 div 70 tex B tex. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
To determine which expression will provide a better whole-number estimate for [tex]\(6,313 \div 68\)[/tex], we should evaluate both given expressions and compare the results.
### Step-by-Step Solution
1. Evaluate the first expression: [tex]\(6,300 \div 70\)[/tex]
[tex]\[
\frac{6300}{70} = 90
\][/tex]
2. Evaluate the second expression: [tex]\(6,400 \div 60\)[/tex]
[tex]\[
\frac{6400}{60} \approx 106.67
\][/tex]
3. Compare the two estimates:
- The result from the first expression is [tex]\(90\)[/tex].
- The result from the second expression is approximately [tex]\(106.67\)[/tex].
4. Determine which estimate is closer to the actual division:
To decide which of these estimates is better, we compare each one to the actual division:
[tex]\[
\frac{6313}{68} \approx 92.84
\][/tex]
- The estimate from [tex]\(6300 \div 70\)[/tex] is [tex]\(90\)[/tex], which is quite close to [tex]\(92.84\)[/tex].
- The estimate from [tex]\(6400 \div 60\)[/tex] is approximately [tex]\(106.67\)[/tex], which is further away from [tex]\(92.84\)[/tex].
Based on the closeness to the actual quotient, the better estimate is derived from the first expression, [tex]\(6300 \div 70\)[/tex].
Therefore, [tex]\(6,313 \div 68\)[/tex] is about [tex]\(90\)[/tex].
### Step-by-Step Solution
1. Evaluate the first expression: [tex]\(6,300 \div 70\)[/tex]
[tex]\[
\frac{6300}{70} = 90
\][/tex]
2. Evaluate the second expression: [tex]\(6,400 \div 60\)[/tex]
[tex]\[
\frac{6400}{60} \approx 106.67
\][/tex]
3. Compare the two estimates:
- The result from the first expression is [tex]\(90\)[/tex].
- The result from the second expression is approximately [tex]\(106.67\)[/tex].
4. Determine which estimate is closer to the actual division:
To decide which of these estimates is better, we compare each one to the actual division:
[tex]\[
\frac{6313}{68} \approx 92.84
\][/tex]
- The estimate from [tex]\(6300 \div 70\)[/tex] is [tex]\(90\)[/tex], which is quite close to [tex]\(92.84\)[/tex].
- The estimate from [tex]\(6400 \div 60\)[/tex] is approximately [tex]\(106.67\)[/tex], which is further away from [tex]\(92.84\)[/tex].
Based on the closeness to the actual quotient, the better estimate is derived from the first expression, [tex]\(6300 \div 70\)[/tex].
Therefore, [tex]\(6,313 \div 68\)[/tex] is about [tex]\(90\)[/tex].
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Rewritten by : Brahmana