Answer :
Sure, let's estimate the values for the given expressions step-by-step.
a) Estimate the value of [tex]\(98.5 \times 13\)[/tex].
1. Rounding: We'll round 98.5 to the nearest easy number to work with, which is 100. The number 13 remains the same since it's already simple to multiply.
2. Multiplication: Now, multiply the rounded numbers: [tex]\(100 \times 13\)[/tex].
3. Calculation: This gives us an estimated value of 1300.
b) Estimate the value of [tex]\(102.3 \div 4.7\)[/tex].
1. Rounding: For estimation, round 102.3 to 100. Similarly, round 4.7 to the nearest convenient number, which is 5.
2. Division: Now, divide the rounded numbers: [tex]\(100 \div 5\)[/tex].
3. Calculation: This results in an estimated value of 20.
So, the estimated values are:
- [tex]\(98.5 \times 13 \approx 1300\)[/tex]
- [tex]\(102.3 \div 4.7 \approx 20\)[/tex]
a) Estimate the value of [tex]\(98.5 \times 13\)[/tex].
1. Rounding: We'll round 98.5 to the nearest easy number to work with, which is 100. The number 13 remains the same since it's already simple to multiply.
2. Multiplication: Now, multiply the rounded numbers: [tex]\(100 \times 13\)[/tex].
3. Calculation: This gives us an estimated value of 1300.
b) Estimate the value of [tex]\(102.3 \div 4.7\)[/tex].
1. Rounding: For estimation, round 102.3 to 100. Similarly, round 4.7 to the nearest convenient number, which is 5.
2. Division: Now, divide the rounded numbers: [tex]\(100 \div 5\)[/tex].
3. Calculation: This results in an estimated value of 20.
So, the estimated values are:
- [tex]\(98.5 \times 13 \approx 1300\)[/tex]
- [tex]\(102.3 \div 4.7 \approx 20\)[/tex]
