Scientific Notation Operations

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form 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

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 with different exponents?

Back

Convert them to the same exponent before adding the coefficients.

Front

What is the result of (7.7 x 10^2) + (1.1 x 10^2)?

Back

8.8 x 10^2.

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

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

How do you convert 4.1 x 10^3 to standard form?

Back

4.1 x 10^3 = 4100.

Front

What is the result of (2.3 x 10^2) + (4.1 x 10^3)?

Back

4.33 x 10^3.