Scientific Notation and Standard Form

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. It is written in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 0.000457 to scientific notation.

Back

4.57 x 10^-4

Front

Convert 23,948 to scientific notation.

Back

2.3948 x 10^4

Front

Convert 0.0005 to scientific notation.

Back

5 x 10^-4

Front

What does a positive exponent in scientific notation indicate?

Back

The number is large and greater than 1.

Front

What does a negative exponent in scientific notation indicate?

Back

The number is small and less than 1.

Front

Express 1,000 in scientific notation.

Back

1 x 10^3

Front

Express 0.01 in scientific notation.

Back

1 x 10^-2

Front

What is the standard form of 4.5 x 10^3?

Back

4,500