Page 149 - Math Course 1 (Book 1)

Standard Form and Scientif c Notation

Mo. 4

Lesson 7

Let’s Begin

KEY CONCEPTS:
1.Express numbers in standard form and in Express Numbers in Standard
scientif c notation.
2. Compare and order numbers written in Form
scientif c notation.
Examples
MO. 4 - L7a 4

Express Numbers in Standard Express 4.395 x 10 in standard Form.

4
4
Form and Scientif c Notation 4.395 × 10 = 4.395 × 10,000 10 = 10,000
= 4.3950 Move the
Vocabulary A-Z decimal point 4
places to the
Let us learn some vocabulary right.

Answer 43,950
Standard Form

Numbers like 5,000,000 and 0.0005 are in standard Express 6.79 × 10–6 in standard form.
form because they do not contain exponents.
6.79 × 10 –6 = 6.79 × 0.000001 10 –6 = 0.000001

.005 120 = 0.00000679 Move the decimal
4,300 5,100,000 point 6 places to
the left.

Scientif c Notation
Answer 0.00000679
a way of writing numbers that accommodates val-
ues too large or small to be conveniently written in
standard decimal notation.
5,000,000 = 5.0 x 10 6 Express Numbers in Standard

0.0005 = 5.0 x 10 -4 Form

Key Concept Examples

Express 800,000 in scientif c notation.
Scientif c Notation 800,000 = 8.0 × 100,000 The decimal point

Words A number is expressed in scientif c notation moves 5 places.
when it is written as the product of a factor
and a power of 10. The factor must be = 8.0 × 105 The exponent is
greater than equal to 1 and less than 10. positive.
n
Symbols a x 10 , where 1 < a <10 and n is an
integer. Answer 8.0 × 10 5
Example 5,000,000 = 5.0 x 10 6 0.0005 = 5.0 x 10 -4

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