Your friend says that when multiplying 300 by 126, she can multiply [tex]3 \times 126[/tex] and write two zeros after the product. Is your friend correct? Explain.

Your friend is correct. The method of turning '300 x 126' into '3 x 126' then appending two zeroes at the end is a neat trick which utilizes the properties of the number 10 and its powers to easily perform large multiplications.

Explanation:

Yes, your friend's method of taking 300 x 126 and simplifying it to 3 x 126, then adding two zeroes at the end is correct. This is because 300 can be expressed as 3 x 102 (where the 2 in the superscript position indicates the number of zeroes). When you multiply this with 126, the multiplication takes place with 3 and 126, and the power of 10 (which is effectively 100), is applied after. So, your friend is using a tidy shortcut to simplify the calculations.

Let's use an example:
3 x 126 = 378.
Then, we add the two zeros from the 102 at the end, making it 37800.
So, 300 x 126 = 37800, confirming the method.

This method relies on understanding how multiplier and powers of 10 work, and makes the multiplication of larger numbers much more manageable.

Your friend is correct. The method of turning '300 x 126' into '3 x 126' then appending two zeroes at the end is a neat trick which utilizes the properties of the number 10 and its powers to easily perform large multiplications.

Learn more about Multiplication with Powers of Ten here:

https://brainly.com/question/2707839

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