Exponentis called an exponential expression.Repeated factors Base⎫⎪⎪⎬⎪⎪⎭ ^22 2 2 2 24 4
An exponent is used to indicate repeated
multiplication. It tells how many times the
baseis used as a factor.124 Chapter 1 Whole Numbers
We can use the definition of exponent to
evaluate (find the value of) exponential
expressions.Evaluate:
Write the base 7 as a factor 3 times.
Multiply, working left to right.
Multiply.
Evaluate:
Evaluate the exponential expressions first.
108 Multiply.22 33 4 27
22 33
343
49 7
73 7 7 7
73
Find all of the factors of each number. List them from least to
greatest.- 18 88. 75
- Factor 20 using two factors.Do not use the factor 1
in your answer. - Factor 54 using three factors.Do not use the factor 1
in your answer.
Tell whether each number is a prime number, a composite
number, or neither.- a. 31 b. 100
c. 1 d. 0
e. 125 f. 47
Tell whether each number is an even or an odd number.- a. 171 b. 214
c. 0 d. 1
Find the prime factorization of each number. Use exponents in
your answer, when helpful.- 42 94. 75
- 220 96. 140
Write each expression using exponents.Evaluate each expression.
- 24 72 102. 22 33 52
53 112
6 6 6 6 5(5)(5)(13)(13)
REVIEW EXERCISESSECTION 1.8 The Least Common Multiple
and the Greatest Common Factor
The multiplesof a number are the products of
that number and and so on.The least common multiple (LCM)of two
whole numbers is the smallest common
multiple of the numbers.
The LCM of two whole numbers is the
smallestwhole number that is divisible by both
of those numbers.1, 2, 3, 4, 5,
DEFINITIONS AND CONCEPTS EXAMPLES
Multiples of 2:
Multiples of 3:
The common multiples of 2 and 3 are:
The least common multiple of 2 and 3 is 6, which is written as:
LCMand6
3
2
6
2
3
(2, 3)6.
6, 12, 18, 24, 30, p3, 6 , 9, 12 , 15, 18 , 21, 24 , 27, p2, 4, 6 , 8, 10, 12 , 14, 16, 18 , 20, 22, 24 , p