LearnMiddle School MathPowers, geometry and data

Powers and scientific notation

A power is short for repeated multiplying.

Lesson 1 of 3

Middle School Math: Powers, geometry and data

means , which is 32. It isn't . Powers let us write big numbers in a short way.

Each power of 10 adds one more factor of 10, which is one more zero.

Scientific notation writes a number as something from 1 to 10 times a power of 10. The distance from Earth to the Sun, about 93,000,000 miles, becomes .

Work through it

Write in scientific notation.

Move the decimal to just after the 4. That's 6 places.

Write in scientific notation.

Move the decimal 3 places right, so the power is negative.

Watch out for this

Reading as 6.

.

The short version
multiplies by itself times. In scientific notation, the power of 10 counts how far the decimal moved.

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