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## Comparing Scientific Notation

#### Introduction

#### Terms

## Examples

Which sign makes the following true?

?

First we need to convert to standard notation

Exponent is positive, so move decimal point right

Compare the two numbers

Which sign makes the following true?

?

Compare the powers of 10

The exponents are both 5, so we need to compare the coefficients

2.43 is less than 5.21

Therefore the first number is less than the second number

Which sign makes the following true?

?

First we need to convert to standard notation

Exponent is negative, so move decimal point left

Compare the two numbers

Which sign makes the following true?

?

Compare the powers of 10

The exponent in the first number (3) is greater than the exponent in the second number (2)

Therefore the first number is greater than the second number