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Q: Why does multiplying numbers by 10 move the decimal point to the right but multiplying by .10 move the decimal point to the let?

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why does multiplying numbers by ten move the decimal point to the right

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It moves the decimal point two places to the right.

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.

You do the multiplication in exactly the same way. The only extra thing is that when multiplying decimals, you need to place the decimal point (or decimal comma - depending on your country) in the correct position. If one number has, for example, 3 digits after the decimal point, and the other 4, you need to place the decimal point in the result (BEFORE eliminating unnecessary zeros) in such a way that there are, in this example, 7 digits (3 + 4) to the right of the decimal point.

Moving a decimal point to the right is the same as multiplying a number by a power of ten. As long as both numbers are multiplied by the same amount, they will retain their same relationship.

yes. any thing you have on the right side of the decimal point(.) is a decimal:)

0.10 = 1/10 so that multiplying by 0.10 is the same as dividing by 10.

When you move a decimal point to the right you are multiplying a number by 10. For example, take 3.4. If you move the decimal point to the right you get 34. This is the same as: 3.4x10 = 34. Reversing this, you are dividing by 10 by moving the decimal point to the left. For example, take 73. If you move the decimal point to the right you get 7.3. This is the same as: 73/10 = 7.3. If you move a decimal point 2 spaces to the right, you are multiplying by 100, or more generally if you move the decimal point n spaces to the right, you are multiplying by 10^n.

Moving a decimal point to the right is the same as multiplying a number by a power of ten. As long as both numbers are multiplied by the same amount, they will retain their same relationship.

Because that is how the decimal system is defined: the place value of each digit is ten times that of the digit to its right. Multiplication by 10 is equivalent to moving each digit to the its left or, equivalently, moving the decimal point to the right.

Multiplying or dividing by ten.

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