The document explains how to write numbers in standard form by separating them into a number between 1 and 10, a power of 10, and some examples of performing operations with numbers in standard form. It provides examples of converting numbers between regular and standard form, multiplying numbers in standard form by keeping the coefficients and adding the powers of 10, and some practice problems for the reader to try converting numbers and performing operations in standard form.

1. Standard Form
Objective:
To be able to understand and
use standard form

2. Standard Form
x 10
A number between 1 and 10
(but not including 10)
A power of 10

3. Example
20000000000000000000000000
This number is HUGE!!It is much easier to write the
number in standard formx 10
A number between 1 and 10
(but not including 10)
A power of 102
25

4. Example
0.000000000000006
This number is Tiny!!It is much easier to write the
number in standard form
x 10
A number between 1 and 10
(but not including 10)
A power of 106
-15

5. Let’s try some together...
a) 900000
b) 78000000
c) 0.0000005
d) 0.00000123

6. YOUR TURN!
a) 7000
b) 86000
c) 340000000
d) 0.00000012
e) 0.056
f) 0.0000478

7. Multiply two numbers
4 x 1018
x 3 x 104
4 x 3 x 1018
x 104
Numbers Powers of 10
= 12 x 1022
ADD powers
= 1.2 x 101
x 1022
= 1.2 x 1023
NOT Std
Form!

8. Let’s try some together...
(2x 102
) x (4 x 105
)
(8 x 108
) x (2 x 10-5
)
(25 x 108
) ÷ (5 x 102
)

9. Try these....
1. (3 x 104
) x (2 x 105
)
2. (4 x 103
) x (3 x 105
)
3. (7 x 104
) x (2 x 10-3
)
4. (8 x 106
) ÷ (2 x 102
)
5. (20 x 104
) ÷ (4 x 108
)

10. BINGO