Answer :
To determine the best way to estimate before dividing 802 by 89, let's consider the estimates for each of the proposed divisors: 90, 95, and 89. Here is a step-by-step breakdown:
1. Estimation with 90:
- To find an estimate, divide 802 by 90.
- [tex]\( 802 \div 90 \approx 8 \)[/tex]
- The quotient will be approximately 8.
2. Estimation with 95:
- Now, divide 802 by 95.
- [tex]\( 802 \div 95 \approx 8 \)[/tex]
- The quotient will also be approximately 8 for this divisor.
3. Estimation with 89:
- Finally, divide 802 by 89.
- [tex]\( 802 \div 89 \approx 9 \)[/tex]
- The quotient will be approximately 9.
Given the estimates, the best way to estimate 802 divided by 89 is by considering the approximation with the divisor 89 itself, which gives a quotient of about 9. This is a more accurate estimate compared to using 90 or 95, which both give a quotient of about 8. Therefore, the best divisor to use for estimation in this context is 89.
So, the division:
[tex]\[ 89 \longdiv {802} \][/tex]
best shows how to estimate before dividing 802 by 89.
1. Estimation with 90:
- To find an estimate, divide 802 by 90.
- [tex]\( 802 \div 90 \approx 8 \)[/tex]
- The quotient will be approximately 8.
2. Estimation with 95:
- Now, divide 802 by 95.
- [tex]\( 802 \div 95 \approx 8 \)[/tex]
- The quotient will also be approximately 8 for this divisor.
3. Estimation with 89:
- Finally, divide 802 by 89.
- [tex]\( 802 \div 89 \approx 9 \)[/tex]
- The quotient will be approximately 9.
Given the estimates, the best way to estimate 802 divided by 89 is by considering the approximation with the divisor 89 itself, which gives a quotient of about 9. This is a more accurate estimate compared to using 90 or 95, which both give a quotient of about 8. Therefore, the best divisor to use for estimation in this context is 89.
So, the division:
[tex]\[ 89 \longdiv {802} \][/tex]
best shows how to estimate before dividing 802 by 89.
