Comparing and Ordering 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 two numbers in scientific notation?

Back

First, compare the exponents. If they are the same, then compare the coefficients (decimals).

Front

What is the smallest number among these in scientific notation: 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, 8.4 x 10^19?

Back

8.4 x 10^19.

Front

Order the following from greatest to least: 5 x 10^3, 3.2 x 10^8, 1.2 x 10^8, 7 x 10^5.

Back

3.2 x 10^8, 1.2 x 10^8, 7 x 10^5, 5 x 10^3.

Front

Which is the largest number: 4.8 x 10^-6, 3.1 x 10^-4, 9.2 x 10^-5, 5.9 x 10^-5?

Back

3.1 x 10^-4.

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates the power of ten by which the coefficient is multiplied.

Front

If two numbers in scientific notation have the same exponent, how do you determine which is larger?

Back

Compare the coefficients (decimals); the larger coefficient indicates the larger number.

Front

What is the greatest number among these: 9 x 10^9, 8.1 x 10^8, 9.02 x 10^9, 6.35 x 10^7?

Back

9.02 x 10^9.

Front

What is the value of 2.5 x 10^3 in standard form?

Back

2500.

Front

Convert 4.2 x 10^-2 to standard form.

Back

0.042.