Understanding Powers of 10

Large and small numbers are often written using powers of 10 instead of writing out all the zeros. For example, the number 100 can be written as 10².
In this expression:

  • 10 is called the base.
  • 2 is the exponent (or power), which tells us how many times to multiply the base by itself.

So, 10² means 10 × 10, which equals 100.
We say this as “ten to the power of two.”

Scientific Notation:

In scientific notation, numbers are written in the form:

m×10n

Where:

  • m is a number between 1 and 10 (not including 10).
  • n is an integer (can be positive or negative), indicating the power of 10.

For example:
4,000,000 is written as: 4×106

Time to Test Yourself!