Math

QuestionConvert 15,000 to scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number given is15,000. We need to express this number in scientific notation

STEP 2

Scientific notation is a way of expressing numbers that are too large 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 convert15,000 into scientific notation, we first need to find a number between1 and10. This is done by moving the decimal point in the number15,000 to the left until we have a number between1 and10.In this case, we move the decimal point places to the left to get1.5.

STEP 4

Next, we need to find the power of10. This is done by counting the number of places we moved the decimal point. In this case, we moved the decimal point4 places to the right, so the power of10 is4.

STEP 5

Now, we can write15,000 in scientific notation.
15,000=1.5times10415,000 =1.5 \\times10^4So,15,000 in scientific notation is 1.5times1041.5 \\times10^4.

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