Scientific Notation

Front

What is scientific notation?

Back

A way to express 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 decimal 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 0.000972 to scientific notation.

Back

9.72 x 10^-4

Front

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 0.0005 to scientific notation.

Back

5 x 10^-4

Front

Which number is the smallest: 8.7 x 10^3, 3 x 10^4, 1.3 x 10^8, 9 x 10^2?

Back

9 x 10^2

Front

Which number is the largest: 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

If a number is written as 3.5 x 10^2, what is its standard form?

Back

350

Front

What is the standard form of 7.2 x 10^-3?

Back

0.0072