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When multiplying by ten the digits shift to the left

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Q: When multiplying by ten the digits shift to the?
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How is multiplying a 2-digit number by a 1-digit number the same as multiplying a 3-digit number by a 1-digit number and how is it different?

Multiplying a 2-digit number by a 1-digit number involves multiplying the digits in the ones and tens place and then adding the products. Similarly, multiplying a 3-digit number by a 1-digit number follows the same principle, where you multiply the digits in the ones, tens, and hundreds place and then add the products. The main difference is that in the latter case, you are dealing with three sets of digits to multiply and add, whereas in the former, you only have two sets of digits.


How do you solve place value of an 8 digit number?

The places are always the same no matter what the digits are. The value is obtained by multiplying the place times the digit. Starting from the right, the places in an 8-digit number are ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions and ten millions.


How do you know where to put the decimal when multiplying decimals?

If two decimal numbers have x and y digits after the decimal point respectively, then their product has (x + y) digits after the decimal point.


How do you align decimals when multiplying?

You do not need to align decimal points when multipylng. You multiply the two numbers ignoring the decimal point but ensuring that any trailins 0s are present. The number of digits after the decimal point in the answer is the sum of the number of digits after the decimal points in the two multiplicands.


When multiplying decimals how do you determine where to place the decimal in the answer?

If the two multiplicands have X and Y digits after the decimal place then their product (before removing any trailing 0s) has (X+Y) digits after the decimal point.