Home > Pre-algebra > Scientific Notation > Comparing Scientific Notation

## 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