use the range strategy to estimate each of the following. Explain how you arrived at your estimates. a) 22*38 b)145+678 c)278+36
To estimate each of the following calculations using the range strategy, we can break down the numbers into smaller, easier-to-work-with ranges. Here's how you can arrive at your estimates:
a) 22 * 38:
To estimate this multiplication, we can round the numbers to a more convenient multiple of 10. Let's round 22 to 20 and 38 to 40. Then, multiply these rounded numbers: 20 * 40 = 800. So, the estimate for 22 * 38 is approximately 800.
b) 145 + 678:
For this addition, we can round the numbers to the nearest hundred. Rounding 145 to 100 and 678 to 700, we can add these rounded numbers: 100 + 700 = 800. Therefore, the estimate for 145 + 678 is around 800.
c) 278 + 36:
In this addition, let's round the numbers to the nearest ten. Rounding 278 to 280 and 36 to 40, we can add these rounded numbers: 280 + 40 = 320. Hence, the estimate for 278 + 36 is approximately 320.
By using the range strategy and rounding the numbers to more manageable values, we can quickly arrive at reasonable estimates for these calculations.
I did the last one for you.
I'll be glad to check your answers for these problems.