The earth’s population is 6,974 x 106. What is this number in standard form?

In this lesson you will learn how to find the value of a power of

ten and write a number in scientific notation by using

patterns in zeros.

Let’s Review

An exponent is a number that shows how many times the base number is to

be used in multiplication.

24

exponent/power

base/coefficient

2 x = 16

2 x 2 x 2

1234

A Common Misunderstanding

Thinking that you multiply the base number and its exponent.

43

4 x 3

4 x 4 x 4

= 64

Core Lesson

1

= 10 x 10

1= 10 x 1

A power of ten is a special notation, called scientific notation, in which the

base number is always ten.

10

= 102

10

= 100

2

310

= 10 x 10 x 10

= 1,0003

10

= 10 x 10 x 10 x 10

= 10,000

10

= 10 x 10 x 10 x 10 x 10

= 100,000

= 10 x 1= 10 x 10= 10 x 10 x 1044

55

= 10 x 10 x 10 x 10= 10 x 10 x 10 x 10 x 10

Core Lesson

Scientific notation is used with very large or very small numbers.

1,990,000,000,000,000,000,000,000,000,000

199 x 1028 kg

One nonillion, nine hundred ninety octillion kg

Core Lesson

= 10 x 10 x 10 x 10 x 10 x 10

6

What is the earth’s population in standard form?

6,974 x 106

610

= 10 x 10 x 10 x 10 x 10 x 10

= 1,000,000

= 6,974,000,000

= 6,974 x 1,000,0006,974 x

610

Core Lesson

6,974,000,000 people

What is the earth’s population in standard form?

In this lesson you have learned how to find the value of a power of ten and write a

number in scientific notation by using patterns in zeros.