Math

QuestionWhat is the scientific notation for the number 855,000,000,000?

Studdy Solution

STEP 1

Assumptions1. The number we are converting to scientific notation is855,000,000,000

STEP 2

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians, and engineers. The format for writing a number in scientific notation isatimes10na \\times10^nwhere 1a<101 \leq |a| <10 and nn is an integer.

STEP 3

To convert the number855,000,000,000 to scientific notation, we first need to rewrite it as a number between1 and10 multiplied by a power of10.To do this, we move the decimal point in the number855,000,000,000 to the left until we have a number between1 and10. In this case, we move the decimal point11 places to the left, which gives us8.55.

STEP 4

The number of places we moved the decimal point to the left is the exponent of10 in the scientific notation. Since we moved the decimal point11 places to the left, the exponent of10 is11.

STEP 5

Therefore, the number855,000,000,000 in scientific notation is8.55times10118.55 \\times10^{11}

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