QuestionConvert 99 million miles into scientific notation.

Studdy Solution

STEP 1

Assumptions1. The distance between the two planets is over99 million miles. . We need to write this number in scientific notation.

STEP 2

Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used in mathematics and science because it can simplify certain arithmetic operations.
In scientific notation, numbers are written in the form $a \\times10^n$ where $1 \leq |a| <10$ and $n$ is an integer.

STEP 3

To convert a number into scientific notation, we need to move the decimal point to the right of the first non-zero digit. The number of places we move the decimal point will be the exponent on the10.
In this case, the number is99 million, or99,000,000.

STEP 4

We move the decimal point7 places to the left to get9.9. The number of places we moved the decimal point is the exponent on the10.
So,99 million in scientific notation is $9.9 \\times10^7$ The distance between the planets is $9.9 \\times10^7$ miles.

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