Question

John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to meet the deadline. Which compatible numbers provide a better estimate for the number of question he should write each week, 2,000 ÷ 50 or 2,000 ÷ 40? Why?

Answer 1

To estimate the number of questions John should write each week, we can use compatible numbers. 2,000 ÷ 50 provides a better estimate than 2,000 ÷ 40 because it is closer to the actual value of 45 questions per week.

Step-by-step explanation:

In order to estimate the number of questions John should write each week, we can use compatible numbers. Compatible numbers are numbers that are easy to compute mentally but still close to the actual values.

By evaluating 2,000 ÷ 50, we get 40 questions per week. By evaluating 2,000 ÷ 40, we get 50 questions per week.

Therefore, 2,000 ÷ 50 provides a better estimate for the number of questions John should write each week because it gives a value that is closer to the actual value of 45.

Answer 2

Answer: 2,000 ÷ 50

Step-by-step explanation:

From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.

The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.

Therefore, the answer is 2000 ÷ 50.