Question

1. the estimated answer to a multiplication problem is 800,000. which of the following expressions could result in this answer? explain how you know.

8,146×12 81,467×121 8,146×121 81,477×1,217

Explanation:

Step1: Round the numbers

Round each factor in the multi - plications to the nearest convenient number for estimation.

Step2: Estimate $8,146\times12$

Round $8,146$ to $8,000$ and $12$ to $10$. Then $8000\times10 = 80,000$.

Step3: Estimate $81,467\times121$

Round $81,467$ to $80,000$ and $121$ to $100$. Then $80000\times100=8,000,000$.

Step4: Estimate $8,146\times121$

Round $8,146$ to $8,000$ and $121$ to $100$. Then $8000\times100 = 800,000$.

Step5: Estimate $81,477\times1,217$

Round $81,477$ to $80,000$ and $1,217$ to $1,000$. Then $80000\times1000 = 80,000,000$.

Answer:

The expression $8,146\times121$ could result in an estimated answer of 800,000.