make a magnitude estimate.269x42= 10,100,1,000,10,000

300 x 40 = about 12,000.

3 x 4 = 12.
Add three zeroes.

Which do you think is the best estimate?

<< .269x42 = 10,100,1,000,10,000>>

That is about 1/4 of 40. Which one of your choices is that?

To estimate the magnitude of a product, you can use a method called rounding to the nearest power of 10. Here's how you can estimate the magnitude of 269 multiplied by 42:

Step 1: Multiply the two numbers without considering decimal places:
269 x 42 = 11,298

Step 2: Look at the leftmost digit of the result (11,298) and drop all the other digits to the right. In this case, we only consider the digit 1.

Step 3: Determine the order of magnitude by identifying the nearest power of 10. Count the number of digits dropped in the previous step. In this case, we dropped four digits (1,298). Therefore, the nearest power of 10 would be 10,000.

Step 4: Multiply the leftmost digit by the nearest power of 10: 1 x 10,000 = 10,000.

Therefore, the magnitude estimate of 269 multiplied by 42 is approximately 10,000.