# Simplify quotients write answer in scientific notation

Updated April 24, By Kristen Dennis Numbers with multiple zeros can be difficult to record and manipulate.

If you multiply the coefficients and the answer is greater than 10, you must move the decimal and adjust the exponents accordingly. Subtract the exponent in the denominator from the exponent in the numerator.

### Scientific notation rules

And this is going to be equal to-- so the numerator I haven't changed yet-- 7 times 10 to the fifth over-- and here in the denominator, 2 times-- let me do this in a new color now. First, multiply the coefficients and then add the exponents. Add the exponents of the powers of To convert a number to scientific notation, put a decimal after the first digit. Multiplying in scientific notation To multiply two numbers written in scientific notation, you work out the coefficients and the exponents separately. The number 0. This simplified to 1. Instead of saying the speed of light is ,, meters per second, scientists can record it as 3. The final answer is 5. And it's being multiplied by 10 to some power. And then 10 to the negative 2 times 10 to the ninth, when you multiply two numbers that are being raised to exponents and have the exact same base-- so it's 10 to the negative 2 times 10 to the negative we can add the exponents. So it's going to be 10 to the 5 minus 7, which is 10 to the negative 2.

By Chris Hren, Peter J. You get 10 to the negative 2. So it's going to be 10 to the 5 minus 7, which is 10 to the negative 2. And the denominator, I just have a bunch of numbers that are being multiplied times each other.

And now we can view this as being equal to 7 over 5 times 10 to the fifth over 10 to the seventh. Add the exponents of the powers of It looks like we have.

Practice questions Using scientific notation, divide the following: Answers and explanations. And then 10 to the fifth divided by 10 to the seventh.

## How to multiply scientific notation with decimals

Add the exponents of the powers of Dividing in scientific notation To divide two numbers written in scientific notation, you also work out the coefficients and the exponents separately, but now it involves division and subtraction. First, multiply the coefficients and then add the exponents. Updated April 24, By Kristen Dennis Numbers with multiple zeros can be difficult to record and manipulate. Simplifying the numbers makes them not only easier to express, but also easier to multiply. You add the exponents. This simplified to 1. And I'll start off by trying to simplify this denominator here. So let me swap the order.

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