Math

QuestionConvert .00013.00013 to scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number we want to write in scientific notation is 0.000130.00013.

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 in mathematics and science because it can simplify certain arithmetic operations.In scientific notation, numbers are written in the forma×10na \times10^nwhere 1a<101 \leq |a| <10 and nn is an integer.

STEP 3

To convert 0.000130.00013 into scientific notation, we need to move the decimal point to the right until we have a number between1 and10.

STEP 4

Count the number of places you moved the decimal point. This will be the exponent on the10 in the scientific notation.

STEP 5

Since we are moving the decimal point to the right, the exponent will be negative.

STEP 6

Move the decimal point4 places to the right.
0.00013=1.3×1040.00013 =1.3 \times10^{-4}So, 0.000130.00013 in scientific notation is 1.3×1041.3 \times10^{-4}.

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