Posts tagged multiplying by 10
How to solve equations that include decimal numbers

In this lesson you’ll learn to solve equations with decimals by multiplying by powers of 10. We can solve an equation with decimals by multiplying the equation by a power of 10, and that’s the first thing we’ll do in order to get rid of the decimals by changing them to whole numbers.

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Multiplying and dividing by powers of 10

Notice how the power (exponent) on the 10 is the same as the number of 0’s in the power of 10 (in the number to the left of the parentheses). For example, the exponent in 10^4 is 4, and there are four 0’s in 10,000. The key thing to remember then is that, when we multiply a number by a power of 10, all we do is count the 0’s in the power of 10 and then move the decimal point that many places to the right in the other number, and that gives us the product.

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