Answer :
Sure! Let's go through the question step-by-step.
1. The student originally estimated that multiplying 10.2 by 8.3 would give a result of 80. This means they must have rounded these numbers to simpler, whole numbers to make their calculations easier.
2. First, let's see what 10.2 was rounded to. The student likely rounded 10.2 to 10, as it's the nearest whole number.
3. Next, we'll consider what 8.3 might have been rounded to. The nearest whole number to 8.3 is 8, so the student likely rounded 8.3 to 8.
4. The actual product of multiplying 10.2 and 8.3 is calculated as follows:
- [tex]\(10.2 \times 8.3 = 84.66\)[/tex].
5. Now, let's compare the student's estimate to the actual product:
- The student's estimate is 80.
- Since 80 is less than the actual product of 84.66, we can say that the student's estimate is less than the actual product.
So, summarizing:
- The student rounded 10.2 to 10.
- The student rounded 8.3 to 8.
- The actual product of [tex]\(10.2\)[/tex] and [tex]\(8.3\)[/tex] is 84.66.
- The student's estimate is less than the actual product.
1. The student originally estimated that multiplying 10.2 by 8.3 would give a result of 80. This means they must have rounded these numbers to simpler, whole numbers to make their calculations easier.
2. First, let's see what 10.2 was rounded to. The student likely rounded 10.2 to 10, as it's the nearest whole number.
3. Next, we'll consider what 8.3 might have been rounded to. The nearest whole number to 8.3 is 8, so the student likely rounded 8.3 to 8.
4. The actual product of multiplying 10.2 and 8.3 is calculated as follows:
- [tex]\(10.2 \times 8.3 = 84.66\)[/tex].
5. Now, let's compare the student's estimate to the actual product:
- The student's estimate is 80.
- Since 80 is less than the actual product of 84.66, we can say that the student's estimate is less than the actual product.
So, summarizing:
- The student rounded 10.2 to 10.
- The student rounded 8.3 to 8.
- The actual product of [tex]\(10.2\)[/tex] and [tex]\(8.3\)[/tex] is 84.66.
- The student's estimate is less than the actual product.
