Scientific Notation Study Guide

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

What is the general format of scientific notation?

Back

A number between 1 and 10 multiplied by a power of ten, e.g., a x 10^n.

Front

How do you compare numbers in scientific notation?

Back

Compare the coefficients first; if they are equal, compare the exponents.

Front

What is the coefficient in scientific notation?

Back

The number that is multiplied by the power of ten, which must be between 1 and 10.

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point: right for positive exponents and left for negative exponents.

Front

Convert 0.00056 to scientific notation.

Back

5.6 x 10^-4.

Front

Convert 4500000 to scientific notation.

Back

4.5 x 10^6.

Front

Multiply: (2.5 x 10^3)(4 x 10^2)

Back

10 x 10^5 or 1 x 10^6.

Front

Multiply: (3.4 x 10^5)(1.2 x 10^-3)

Back

4.08 x 10^2.

Front

Divide: (6.9 x 10^7) / (2.3 x 10^-3)

Back

3 x 10^10.