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When you multiply decimals first you should take away the decimals and just leave the number. Then multiply the two numbers together and you get a larger number than the two numbers you have. Then you have to count out how many decimals places you orignally had in both of the numbers then you put how every many decimal place in the first two numbers in the answer. Let me show you an example

34.56 x 76.096

Take away the decimals

3456 x 76096

Find the answer to this

262987776

Now go back to your two original numbers and find how many decimals places they each have

34.56 has 2 decimals

76.096 has 3 decimals

Since you have 2 and 3 decimals you have to put 5 decimal places in your final answer

2629.87776 this is your answer

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Q: What do you do with the decimal point when multiplying?

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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.

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.

Because the number of digits after the decimal place in a product does not require that.

Moving the decimal point one place to the right is the same as multiplying both, he numerator and the denominator by 10. That is, you are effectively multiplying by 10/10 which equals 1. And since multiplication by 1 does not change the result, it is OK to do that. Similarly, moving two palces to the right is multiplying by 100/100. Similarly moving left.

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

It moves the decimal point two places to the right.

left

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It is not. When multiplying two whole numbers you need not be concerned about placing the decimal point in the answer.

There is almost no difference. The only difference is placing the decimal point.

When multiplying a whole number by a decimal with two places, ignore the decimal point and multiply as if you were multiplying two whole numbers. After you get the answer, re-insert the decimal point so that the product has two decimal places.

When multiplying a whole number by a decimal with two places, ignore the decimal point and multiply as if you were multiplying two whole numbers. After you get the answer, re-insert the decimal point so that the product has two decimal places.

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.

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.

Multiplying a real number by a positive power of ten moves the decimal point that number (the exponent) of places to the right. Multiplying by a negative power of ten moves it to the left. For example, the -3 power of 10 is 1/1000; multiplying by that moves the decimal point 3 places to the left.

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.

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