Math

QuestionConvert each number to scientific notation. Example: 3,230,000=3.23×1063,230,000=3.23 \times 10^{6}; Find 211,700,000,000=211,700,000,000=.

Studdy Solution

STEP 1

Assumptions1. We are given the number 211,700,000,000211,700,000,000 to be written in scientific notation. . 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.
3. In scientific notation, numbers are written as a product of two numbers a coefficient and10 raised to a power. The coefficient must be greater than or equal to1 and less than10.

STEP 2

To write a number in scientific notation, we first need to express the number as a decimal number between1 and10. In this case, we move the decimal point11 places to the left to get2.117.
211,700,000,000=2.117211,700,000,000 =2.117

STEP 3

Next, we multiply this decimal number by10 raised to the power of the number of places we moved the decimal point. In this case, we moved the decimal point11 places, so we multiply by 101110^{11}.
211,700,000,000=2.117×1011211,700,000,000 =2.117 \times10^{11}This is the number 211,700,000,000211,700,000,000 written in scientific notation.

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