Math

QuestionConvert 0.00052 to scientific notation: 0.00052=0.00052 =

Studdy Solution

STEP 1

Assumptions1. The number to be converted into scientific notation is0.00052. 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 as a product of two factors a number between1 and10 (inclusive), and a power of10.

STEP 2

To write a number in 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 of10 in the scientific notation.

STEP 3

Let's start moving the decimal point to the right of the first non-zero digit in0.00052.

STEP 4

The first non-zero digit in0.00052 is. So, we move the decimal point4 places to the right to get.2.

STEP 5

Now, we write5.2 as the product of5.2 and10 raised to the power of -4 (since we moved the decimal point4 places to the right).
0.00052=5.2times1040.00052 =5.2 \\times10^{-4}So,0.00052 in scientific notation is 5.2times1045.2 \\times10^{-4}.

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