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

Front

What is the first step in adding (5.2 x 10⁷) + (3.01 x 10⁴)?

Back

Convert (3.01 x 10⁴) to (0.0301 x 10⁷) to match the exponent of (5.2 x 10⁷).

Front

What is the result of (5.2 x 10⁷) + (0.0301 x 10⁷)?

Back

5.2301 x 10⁷.

Front

How do you write 11.0 x 10⁵ in proper scientific notation?

Back

1.1 x 10⁶.

Front

What is the result of (2.3 x 10²) + (4.1 x 10²)?

Back

6.4 x 10².

Front

How do you subtract numbers in scientific notation?

Back

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

Front

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

Back

1.81 x 10³.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates the power of ten by which the coefficient is multiplied, determining the scale of the number.

Front

How do you convert 3.7 x 10⁵ to a different exponent?

Back

To convert to 10⁶, you can write it as 0.37 x 10⁶.