Page 10 - Math Course 2 (Book 1)

Standard Form and Scientif c Notation

Mo. 1

Lesson 1 Key Concept

KEY CONCEPTS: Scientif c Notation
1. Express numbers in standard form and in
scientif c notation. Words A number is expressed in scientif c
2. Compare and order numbers written in notation when it is written as the
scientif c notation. product of a factor and a power of 10.
The factor must be greater than or equal
to 1 and less than 10.
n
MO. 1 - L1a Symbols a x 10 , where 1 < a < 10 and n is an
integer.
Express Numbers in Standard Example 5,000,000 = 5.0 x 10 6

Form and Scientif c Notation 0.0005 = 50 x 10 –4

Vocabulary A-Z

Let us learn some vocabulary
Let’s Begin

Standard Form Express Numbers in Standard
Form
Numbers like 5,000,000 and 0.0005 are in standard
form because they do not contain exponents.
Examples
.005 120

4
Express 4.395 x 10 in standard Form.
4,300 5,100,000 4.395 × 10 = 4.395 × 10,000 104 = 10,000
4

= 4.3950 Move the
decimal point 4
Scientif c Notation places to the
right.
a way of writing numbers that accommodates
values too large or small to be conveniently written
in standard decimal notation.
Answer 43,950
5,000,000 = 5.0 x 10 6

Express 6.79 × 10 in standard form.
–6
0.0005 = 5.0 x 10 -4
6.79 × 10 = 6.79 × 0.000001 10 = 0.000001
–6
–6
= 0.00000679 Move the
decimal point
6 places to the
left.

Answer 0.00000679

2