Answer :
Sure! Let's estimate the value of the expression [tex]\(3,782 \div 62\)[/tex] by adjusting the numbers to make the division simpler.
### Step-by-step Estimation:
1. Rounding the Divisor:
- The original divisor is 62. To make calculation easier, we can round this to the nearest multiple of 10, which is 60.
2. Dividing the Rounded Numbers:
- Now let's divide the dividend by the rounded divisor:
- [tex]\(\frac{3782}{60}\)[/tex].
3. Calculate the Estimated Quotient:
- We can do this division by breaking it into simpler parts:
- First, divide [tex]\(3780\)[/tex] by [tex]\(60\)[/tex] (ignoring the last two units for simplicity).
- Notice that [tex]\(3780 \div 60\)[/tex] equals 63.
4. Actual Division for Accuracy:
- If you perform the division of [tex]\(3,782 \div 62\)[/tex] without rounding, the actual quotient turns out to be approximately 61.
### Conclusion:
- The estimated value of [tex]\(3,782 \div 62\)[/tex] using the rounded divisor is approximately 63.
- The actual value of [tex]\(3,782 \div 62\)[/tex] is approximately 61.
This estimation helps us quickly understand the division outcome even without a calculator.
### Step-by-step Estimation:
1. Rounding the Divisor:
- The original divisor is 62. To make calculation easier, we can round this to the nearest multiple of 10, which is 60.
2. Dividing the Rounded Numbers:
- Now let's divide the dividend by the rounded divisor:
- [tex]\(\frac{3782}{60}\)[/tex].
3. Calculate the Estimated Quotient:
- We can do this division by breaking it into simpler parts:
- First, divide [tex]\(3780\)[/tex] by [tex]\(60\)[/tex] (ignoring the last two units for simplicity).
- Notice that [tex]\(3780 \div 60\)[/tex] equals 63.
4. Actual Division for Accuracy:
- If you perform the division of [tex]\(3,782 \div 62\)[/tex] without rounding, the actual quotient turns out to be approximately 61.
### Conclusion:
- The estimated value of [tex]\(3,782 \div 62\)[/tex] using the rounded divisor is approximately 63.
- The actual value of [tex]\(3,782 \div 62\)[/tex] is approximately 61.
This estimation helps us quickly understand the division outcome even without a calculator.
