Multiplying and Dividing in Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., a × 10^n.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (a × 10^m)(b × 10^n) = (a*b) × 10^(m+n).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a × 10^m) ÷ (b × 10^n) = (a/b) × 10^(m-n).

Front

What is the coefficient in scientific notation?

Back

The number in front of the power of 10, typically between 1 and 10.

Front

What is the power of ten in scientific notation?

Back

The exponent that indicates how many times to multiply the base (10) by itself.

Front

Example of multiplying in scientific notation: (2 × 10^3)(4 × 10^2) = ?

Back

8 × 10^5.

Front

Example of dividing in scientific notation: (6 × 10^5) ÷ (3 × 10^2) = ?

Back

2 × 10^3.

Front

What happens when you multiply a number by 10^0?

Back

The number remains unchanged, as 10^0 = 1.

Front

What is the result of (5 × 10^6)(5 × 10^7)?

Back

2.5 × 10^14.

Front

What is the result of (9.6 × 10^-8) ÷ (2 × 10^-15)?

Back

4.8 × 10^7.