the earth’s population is 6,974 x 10 6 . what is this number in standard form?
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The earth’s population is 6,974 x 10 6 . 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. - PowerPoint PPT PresentationTRANSCRIPT
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.