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 × 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 result of (8.4 * 10^6)/(2.1 * 10^3)?

Back

4 * 10^3.

Front

How do you add numbers in scientific notation with the same exponent?

Back

Add the coefficients and keep the exponent the same: (a × 10^n) + (b × 10^n) = (a+b) × 10^n.

Front

What is the result of (8 x 10^4) - (2 x 10^4)?

Back

6 x 10^4.

Front

What is the result of (2 x 10^9)(4 x 10^-4)?

Back

8 x 10^5.

Front

How do you subtract numbers in scientific notation with the same exponent?

Back

Subtract the coefficients and keep the exponent the same: (a × 10^n) - (b × 10^n) = (a-b) × 10^n.

Front

What is the result of (5 x 10^6) - (3 x 10^6)?

Back

2 x 10^6.

Front

What is the result of (2 x 10^-5) + (7 x 10^-5)?

Back

9 x 10^-5.