Why is this number NOT in scientific notation?

(Remember our coefficient ALWAYS has to be greater than _____ but less than_____)

7 answers

In order for a number to be in scientific notation, the coefficient must be greater than or equal to 1 and less than 10.
Why did we have to add 1 to the exponent?

Because we moved the decimal over one place to the right

We don't need to move the decimal

Because we moved the decimal over one place to the left
We have to add 1 to the exponent when we move the decimal over one place to the left.
Solve this example on your own and write the answer you get. Use the previous example to help you rewrite the answer in scientific notation
Let's suppose the number we are considering is 4025.

To write this number in scientific notation, we need to move the decimal point three places to the left as there are three zeros in the number.

So the number in scientific notation would be 4.025 × 10^3.
0.0337 * 10^-5 - 4.97 * 10^-5 Solve this example on your own and write the answer you get. Use the previous example to help you rewrite the answer in scientific notation
To solve this example, we need to subtract 0.0337 × 10^-5 from 4.97 × 10^-5.

First, subtract the coefficients: 4.97 - 0.0337 = 4.9363.

Next, subtract the exponents: 10^-5 - 10^-5 = 0.

Therefore, the answer is 4.9363 × 10^0.

In scientific notation, this can be rewritten as 4.9363 × 10^0 = 4.9363.