Powers of Ten and Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. For example, 3000 can be written as 3 x 10^3.

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

What is the standard form of 6.51 x 10^-3?

Back

0.00651

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent moves it to the right, while a negative exponent moves it to the left.

Front

How do you compare two numbers in scientific notation?

Back

Compare the exponents first. If they are the same, compare the coefficients.

Front

What is the standard form of 3.58 x 10^4?

Back

35,800

Front

Which is greater: 4.609 x 10^8 or 4.69 x 10^8?

Back

4.609 x 10^8 is less than 4.69 x 10^8.

Front

How do you order numbers in scientific notation from greatest to least?

Back

First, compare the exponents. The number with the largest exponent is the greatest. If exponents are the same, compare the coefficients.

Front

What is the scientific notation for 745,000,000?

Back

7.45 x 10^8

Front

What is the value of 10^0?

Back

1, because any number raised to the power of zero is 1.