Scientific Notation and Operations

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., 3.0 x 10^4.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (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. Example: (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

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

Back

3 x 10^-3.

Front

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

Back

4.08 x 10^2.

Front

How do you add numbers in scientific notation?

Back

Convert to the same power of 10, then add the coefficients. Example: a x 10^m + b x 10^m = (a+b) x 10^m.

Front

What is the result of 4.1 x 10^5 + 5.5 x 10^6?

Back

5.91 x 10^6.

Front

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

Back

3 x 10^10.

Front

If Cell A = 4.2 x 10^-4 and Cell C = 8.4 x 10^-4, how many times larger is Cell C than Cell A?

Back

2x.

Front

What is the coefficient in the scientific notation 5.2 x 10^3?

Back

5.2.