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. For 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. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the scientific notation for 0.0005?

Back

5 x 10^-4.

Front

What is the scientific notation for 5000000?

Back

5 x 10^6.

Front

How do you add numbers in scientific notation?

Back

Convert to the same exponent, then add the coefficients. For example, a x 10^n + b x 10^n = (a+b) x 10^n.

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

Back

3 x 10^-3.

Front

What is the result of 5 x 10^12 / 2 x 10^6?

Back

2.5 x 10^6.

Front

How do you convert 4.1 x 10^5 + 5.5 x 10^6 to scientific notation?

Back

5.91 x 10^6.