move the decimal down and over however many numbers are behind the decimal
left
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.
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.
Write the number out completely. Locate the decimal point. Move the decimal point left by one digit. You have multiplied the number by 0.1 Example: Multiply 293.56 by 0.1 Move decimal point left one position: 29.356
To multiply decimal numbers, the decimal point is ignored and the multiplication is done as though they were (large) integers. The last step is to put the decimal point into the answer by ensuring the same number of digits follow it as were following the decimal points in the numbers multiplied together; trailing zeros can be removed at this point.
why does multiplying numbers by ten move the decimal point to the right
It moves the decimal point two places to the right.
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.
right
left
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.