4.8 scientific notation small numbers - 1

1. Daily Homework Quiz For use after Lesson 4.8
Write the number in scientific notation.
1. 78,000
2. 4.5 x 10
6
Write the number in standard form.

2. Daily Homework Quiz For use after Lesson 4.8
Write the number in scientific notation.
1. 78,000
ANSWER
7.8 x 10
4
2. 4.5 x 10
6
4,500,000
ANSWER
Write the number in standard form.

3. 4.84.8
Scientific NotationScientific Notation

4. Part 2 – Small Numbers
Scientific notation can also be used to
represent very, very small numbers.
The DNA in a chromosome is very thin and
tightly packed inside a cell, twisted and coiled
so that it is 1/10000 cm long.
1/10000 = 0.0001

5. Decimal
Form
Number Factored Form With
Exponents
10.0 10 10 10
1
1.0 1 1 10
0
0.1
0.01
0.001 1/10001/10 x 1/10 x 1/1010
-3
Look for patterns and complete the chart.

6. Decimal
Form
Number Factored Form With
Exponents
10.0 10 10 10
1
1.0 1 1 10
0
0.1 1/10 1/10 10
-1
0.01 1/100 1/10 x 1/10 10
-2
0.001 1/10001/10 x 1/10 x 1/1010
-3

7. Scientific Notation Video
Scientific Notation for Very Low Numbers

8. A number in scientific notation has two parts:A number in scientific notation has two parts:
A number greater than or equal to 1, A number greater than or equal to 1,
but less than 10 but less than 10 multiplied bymultiplied by a
power of tenpower of ten

9. These numbers today will be small
POSITIVE numbers, but expressed with
negative exponents.
 -1 0 1 2

10. Write each number in scientific notation:Write each number in scientific notation:
1) 0.00351) 0.0035
2) 0.00000062) 0.0000006
3) 0.00000243) 0.0000024
4) 24 millionths4) 24 millionths
0.0000240.000024
5) 14 hundredths5) 14 hundredths
0.140.14
6) 218 hundred-thousandths6) 218 hundred-thousandths
0.002180.00218

11. Write each number in scientific notation:Write each number in scientific notation:
1) 0.00351) 0.0035
2) 0.00000062) 0.0000006
3) 0.00000243) 0.0000024
4) 24 millionths4) 24 millionths
0.0000240.000024
5) 14 hundredths5) 14 hundredths
0.140.14
6) 218 hundred-thousandths6) 218 hundred-thousandths
0.002180.00218
1. 3.5 x 101. 3.5 x 10
-3-3

2. 6.0 x 102. 6.0 x 10
-7-7

3. 2.4 x 103. 2.4 x 10
-6-6

4. 2.4 x 104. 2.4 x 10
-5-5

5. 1.4 x 105. 1.4 x 10
-1-1
6. 2.18 x 106. 2.18 x 10
-3-3

12. Put each in decimal (standard) form:
3.7 x 10
-5
6 x 10
-3
9.752 x 10
-8
1 x 10
-7

13. Put each in decimal (standard) form:
3.7 x 10
-5
6 x 10
-3
9.752 x 10
-8
1 x 10
-7
1)1) 0.000037 0.000037
2) 0.0062) 0.006
3) 0.000000097523) 0.00000009752
4) 0.00000014) 0.0000001

14. Partner SquaresPartner Squares
Find the person who has the same
number written on his/her card but in the
opposite notation.

15. AssignmentAssignment
Scientific Notation Worksheet