Operations with Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you compare numbers in scientific notation?

Back

Compare the exponents first; the number with the larger exponent is greater. If exponents are equal, compare the coefficients.

Front

What is the product of two 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

What is the sum of two numbers in scientific notation?

Back

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

Front

What is the smallest number among 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, and 8.4 x 10^19?

Back

8.4 x 10^19.

Front

What is the largest number among 4.8 x 10^-6, 1.3 x 10^20, 3.1 x 10^-4, 9.2 x 10^-5, 9.5 x 10^32, 5.9 x 10^-5, and 2.9 x 10^21?

Back

9.5 x 10^32.

Front

Calculate (2 x 10^9)(4 x 10^-4).

Back

8 x 10^5.

Front

Calculate (2 x 10^-5) + (7 x 10^-5).

Back

9 x 10^-5.

Front

Calculate (5 x 10^6)(5 x 10^7).

Back

2.5 x 10^14.

Front

What is the exponent rule for multiplying numbers in scientific notation?

Back

When multiplying, add the exponents.