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.
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If the exponent is positive, you move the decimal point to the right, the specified number of digits. For a negative exponent, you move it to the left. In either case, you fill out missing digits with zero. Examples (using "^" for power):3.448 x 10^1 = 34.485 x 10^6 = 5000000 (note the implied decimal point to the right of the number)3 x 10^-3 = 0.003
Move the decimal point two places to the right.
Move the decimal point one place to the right.
The rule is that you move the decimal point two positions to the right. If there is no existing decimal point then it is a whole number and the decimal point is at the far right as in 25 equals 25.0 Move the decimal point two places to the right and fill in any spaces with zeros. 25.0 X 100 = 2500.0 33.3 X 100 = 3330.0 42.87 X 100 = 4287.0
The number after a decimal point is called a decimal fraction. It represents a portion of a whole number, with each digit's place value decreasing by a factor of 10 as you move further to the right. This allows for the representation of values smaller than one, such as tenths, hundredths, thousandths, and so on.