Question

Which equation provides the best estimate of the product of 229 and 3.22?

A. 200 × 3 = 600
B. 200 × 4 = 800
C. 300 × 3 = 900
D. 250 × 3 = 750

Answer 1

D. 250 x 3 = 750

Explanation:

All the values here for the first number are all between 200 and 300. We can first try rounding up the factors, in order to at least eliminate one option. 3.22 is less than 3.50, making you round down, which gives you 3. This 3 means that B (200 x 4) is not an option, which leaves you with A, C, and D as your possible answers.

Now, you should look at the other factor, which you can d o by rounding 229. 229 is closer to 200 so we should round down to 200, eliminating option C. We now have option A and D left. The midway number between 200 and 250 is 225, which gives you D (250 x 3 = 750) as the correct answer.

You can also check this by doing the actual multiplication, which gives you 737.38, which further proves that D. is the correct answer.

I hope this helped!

Answer 2

The answer is A

Explanation:

1. We want to estimate 229 to the nearest hundredth, so we take the first 2 and see if the tens place is above, at, or below 5. Since it is below 5, we estimate 229 to be 200.

2. We do the same process for 322. Take three, see that .2 is lower than five, then make 3.22 into 3.

Our final answer results in 200 * 3, therefore it is A. 200 × 3 = 600