# Divide and write answer in scientific notation

Step 3 : Use the law of indices to simplify the powers of And the denominator, I just have a bunch of numbers that are being multiplied times each other. Scientific notation Video transcript We have 7 times 10 to the fifth over 2 times 10 to the negative 2 times 2.

## Dividing scientific notation examples

Solution: Evaluate Subtract the exponent in the denominator from the exponent in the numerator. It's a digit between 1 and 9, including 1 and 9. Or you say, hey, look, I'm dividing this by this. So that's going to be the same thing as-- and there's two ways to view this. This simplified to 1. A major benefit of presenting numbers in scientific notation is that it simplifies common arithmetic operations like multiplication and division. So I'm going to do over 2 times 2. And the denominator, I just have a bunch of numbers that are being multiplied times each other. Step 3 : Use the law of indices to simplify the powers of It looks like we have. In either case, the answer must be converted to scientific notation. Make sure that the final answer is written in scientific notation. Since all number in scientific notation have base 10, we can always multiply them and divide them. So I can do it in any order.

A major benefit of presenting numbers in scientific notation is that it simplifies common arithmetic operations like multiplication and division. So this is going to be 10 to the 9 minus 2, or 10 to the seventh.

Let me do that in that orange color to keep track of the colors.

## Scientific notation division calculator

And then 10 to the fifth divided by 10 to the seventh. Here are the steps to divide two numbers in scientific notation: Divide the coefficients--round to the number of significant figures in the coefficient with the smallest number of significant figures. Solution: Dividing Numbers Written in Scientific Notation Two examples of dividing number written in scientific notation. Subtract the exponent in the denominator from the exponent in the numerator. So let me swap the order. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. So let's try to simplify this a little bit. Make sure that the final answer is written in scientific notation. Practice questions Using scientific notation, divide the following: Answers and explanations. Scientific notation Video transcript We have 7 times 10 to the fifth over 2 times 10 to the negative 2 times 2. You get 10 to the negative 2. Join the new coefficient to the new power of 10 to get the answer. This simplified to 1. Since all number in scientific notation have base 10, we can always multiply them and divide them. A major benefit of presenting numbers in scientific notation is that it simplifies common arithmetic operations like multiplication and division.

Example:giving your answer in scientific notation. Practice questions Using scientific notation, divide the following: Answers and explanations. 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.

Make sure that the final answer is written in scientific notation. It looks like we have. Solution: Evaluate

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