Operations with 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 x 10^n where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply numbers in scientific notation?

Back

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

Front

How do you divide numbers in scientific notation?

Back

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

Front

Convert 0.0005 to scientific notation.

Back

5 x 10^-4.

Front

What is the result of (6.9 x 10^7) / (2.3 x 10^-3)?

Back

3 x 10^10.

Front

What is the result of (9 x 10^-6) / (3 x 10^-3)?

Back

3 x 10^-3.

Front

Back

2.1 x 10^7.

Front

What is the result of (3.4 x 10^5)(1.2 x 10^-3)?

Back

4.08 x 10^2.

Front

What is the coefficient in the scientific notation 4.5 x 10^3?

Back

4.5.

Front

What is the exponent in the scientific notation 7.2 x 10^5?

Back

5.