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Solution - Scientific notation/Standard form

0.02
0.02

Step-by-step explanation

1. Convert to decimal notation

0.02100

The exponent is -0, making it 10 to the power of negative 0. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 0 times:

0.02 -> 0.02

2. Final result

0.02

Why learn this

Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is 1.8981027kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

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