Answer :
Sure! Let's go through the steps to estimate the values for each part of the question.
a) Estimate the value of [tex]\(98.5 \times 13\)[/tex]:
1. Start by rounding each number to make multiplication simpler.
2. Round 98.5 to the nearest convenient whole number. In this case, rounding 98.5 to 100 makes it easier to work with.
3. Round 13 to a simpler number. Rounding 13 to 10 keeps the multiplication straightforward.
4. Now multiply the rounded numbers: [tex]\(100 \times 10 = 1000\)[/tex].
5. So, the estimated value of [tex]\(98.5 \times 13\)[/tex] is approximately 1000.
b) Estimate the value of [tex]\(102.3 \div 4.7\)[/tex]:
1. Begin by rounding each number for easier division.
2. Round 102.3 to a nearby simple number. Rounding 102.3 to 100 is convenient.
3. Round 4.7 to a more manageable number. Here, rounding 4.7 to 5 simplifies the calculation.
4. Now divide the rounded numbers: [tex]\(100 \div 5 = 20\)[/tex].
5. Thus, the estimated value of [tex]\(102.3 \div 4.7\)[/tex] is approximately 20.
These steps provide a quick approximation for the given mathematical operations.
a) Estimate the value of [tex]\(98.5 \times 13\)[/tex]:
1. Start by rounding each number to make multiplication simpler.
2. Round 98.5 to the nearest convenient whole number. In this case, rounding 98.5 to 100 makes it easier to work with.
3. Round 13 to a simpler number. Rounding 13 to 10 keeps the multiplication straightforward.
4. Now multiply the rounded numbers: [tex]\(100 \times 10 = 1000\)[/tex].
5. So, the estimated value of [tex]\(98.5 \times 13\)[/tex] is approximately 1000.
b) Estimate the value of [tex]\(102.3 \div 4.7\)[/tex]:
1. Begin by rounding each number for easier division.
2. Round 102.3 to a nearby simple number. Rounding 102.3 to 100 is convenient.
3. Round 4.7 to a more manageable number. Here, rounding 4.7 to 5 simplifies the calculation.
4. Now divide the rounded numbers: [tex]\(100 \div 5 = 20\)[/tex].
5. Thus, the estimated value of [tex]\(102.3 \div 4.7\)[/tex] is approximately 20.
These steps provide a quick approximation for the given mathematical operations.
