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?



A 2,000 ÷ 50 is a better estimate because 50 weeks is more than the amount of time he actually has.



B 2,000 ÷ 50 is a better estimate because 2,000 is less than the amount of questions he actually needs to write.



C 2,000 ÷ 40 is a better estimate because 2,000 is less than the amount of questions he actually needs to write.



D 2,000 ÷ 40 is a better estimate because 40 weeks is less than the amount of time he actually has.

Answer:

Answer: 2,000 ÷ 50

Reason:

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.

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