Chapter 5: Exponents and Polynomials
5.3 An Application of Exponents: Scientific Notation
Learning Objectives
1. Express numbers in scientific notation
2. Convert numbers in scientific notation to numbers wihout exponents.
3. Use scientific notation in calculation.
Key Terms
Use the vocabulary terms listed below to complete each statement in exercises 1 - 3.
scientific notation
left
right
1) A number written in ___________________has the form a x 10n, where 1
integer.
2) To write a number in the form a x 10n, where 1 x 10 and n
decimal to the __________________________n places.
x
10 and n is an
1, without exponents, move the
3) To write a number in the form a x 10n, where 1 x 10 , and n -1, wihtout exponents, move
the decimal to the _______________________ n places.
Objective 1: Express numbers in scientfic notation.
Determine whether or not the number is written in scientific notation.
4) 2.67 × 1012
5) 0.70 × 109
6) 0.0002
Write the number in scientific notation.
7) 27.3
8) 280,000
9) 0.000632
10) 0.000094116
Objective 2: Convert numbers in scientific notation to numbers without exponents.
Write the number without exponents.
11) 1.90 × 103
1
12) 7.932 × 105
13) 9.15 × 10-4
14) 6.949 × 10-6
15) 6.03 × 100
Objective 3: Use scientific notation in calculations.
Perform the indicated operation. Write the answer in scientific notation, and then write your answers without
exponents.
16) (4 × 105)(7 × 108)
17)
20 × 105
5 × 102
18)
12.25 × 10-1
5 × 10-6
2