Adding and Subtracting Scientific Notation

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

How do you add numbers in scientific notation?

Back

Align the exponents. If they are different, convert one number to have the same exponent as the other. Then, add the coefficients and keep the exponent.

Front

What is the first step in subtracting numbers in scientific notation?

Back

Align the exponents. If they are different, convert one number to have the same exponent as the other.

Front

What is the result of (5.2 x 10⁷) + (3.01 x 10⁴)?

Back

5.20301 x 10⁷

Front

Which is larger: 4.8 x 10⁻⁶ or 1.3 x 10²⁰?

Back

1.3 x 10²⁰ is larger.

Front

What is the result of (7.3 x 10⁵) + (3.7 x 10⁵)?

Back

1.1 x 10⁶

Front

How do you determine which number is larger in scientific notation?

Back

Compare the exponents first. The number with the larger exponent is larger. If the exponents are the same, compare the coefficients.

Front

What is the result of (2 x 10³) - (1.9 x 10²)?

Back

1.81 x 10³

Front

What happens when you subtract a larger number from a smaller number in scientific notation?

Back

The result will be negative.

Front

What is the result of (7.32 x 10⁶) - (4.01 x 10⁸)?

Back

-3.937 x 10⁸