Scientific Notation

Front

What is scientific notation?

Back

A way of expressing very large or very small numbers using powers of ten. It is written in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 0.0005 to scientific notation.

Back

5 x 10^-4

Front

What is the standard form of 9.8 x 10^-5?

Back

0.000098

Front

Identify which of the following is in scientific notation: 8.987000, 8.98 x 10^6, 80.987 x 10, 8.98^6.

Back

8.98 x 10^6

Front

Convert 0.000972 to scientific notation.

Back

9.72 x 10^-4

Front

Which is the largest number: 9 x 10^6, 8 x 10^10, 1.3 x 10^12, 5.3 x 10^3?

Back

1.3 x 10^12

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

How do you compare numbers in scientific notation?

Back

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

Front

What is the standard form of 3.2 x 10^3?

Back

3200