Comparing and Ordering Scientific Notation

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 compare two numbers in scientific notation?

Back

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

Front

What is the largest number among these in scientific notation: 4.8 x 10^-6, 1.3 x 10^20, 9.5 x 10^32?

Back

9.5 x 10^32 is the largest.

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 smallest number: 1.3 x 10^20, 2.9 x 10^21, 8.4 x 10^19?

Back

8.4 x 10^19 is the smallest.

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates the power of ten by which the coefficient is multiplied, determining the scale of the number.

Front

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

Back

Compare the coefficients (the decimal parts); the larger coefficient indicates the larger number.

Front

Convert 0.00056 to scientific notation.

Back

5.6 x 10^-4.

Front

What is the scientific notation for 1500000?

Back

1.5 x 10^6.

Front

How do you add numbers in scientific notation?

Back

Convert them to the same exponent, then add the coefficients.