- The product of an even number of negative integers
is and the product of an odd number of
negative integers is. - Find each absolute value.
a. b.
- If each of the following expressions were evaluated,
what would be the signof the result?
a. b.
NOTATION
- For each expression, identify the base and the
exponent.
a. b. - Translate to mathematical symbols.
a. negative three times negative two
b. negative five squared
c. the opposite of the square of five
Complete each solution to evaluate the expression.
GUIDED PRACTICE
Multiply.See Example 1.
Multiply.See Example 2.
Evaluate each expression.See Examples 3 and 4.
- 8(3)(7)(2) 52. 9(3)(4)(2)
2(4)(6)(8) 3(5)(2)(9)
5(10)(3) 8(7)(2)
6(3)(5) 9(3)(4)
60,000(1,200) 20,000(3,200)
59(33) 61(29)
6(46) 8(48)
3(52) 4(73)
7(1) 5(1)
(8)(7) (9)(3)
94 1,000 76 1,000
45 37 42 24
21(6) 39(3)
18(4) 17(8)
9(2) 5(7)
5(3) 4(6)
(9)
(3)^4 (3)(3)(3)
3(2)(4) (4)
84 (7)^9
(5)^13 (3)^20
0 30 0120
Evaluate each expression.See Example 5.
Evaluate each expression.See Example 6.
Evaluate each expression.See Example 7.
- and
- and
- and
- and
TRY IT YOURSELF
Evaluate each expression.
- Find the product of and the opposite of 10.
- Find the product of the opposite of 9 and the opposite
of 8.
- 42 200,000 88. 56 10,000
6(4)(2) 3(2)(3)
6
2(3)(3)(1) 5(2)(3)(1)
(2)10 (3)8
(4)^3 (8)^3
8(0) 0(27)
6(5)(2) 4(2)(2)
(11)^2 112
(12)^2 122
(5)^2 52
(7)^2 72
(1)^8 (1)^10
(5)^4 (7)^4
(2)^5 (3)^5
(3)^3 (6)^3
9(4)(1)(4) 6(3)(6)(1)
1(3)(2)(6) 1(4)(2)(4)
3(9)(3) 5(2)(5)
4(2)(6) 4(6)(3)
2.4 Multiplying Integers 173
APPLICATIONS
Use signed numbers to solve each problem.
- SUBMARINES As part of a training exercise, the
captain of a submarine ordered it to descend 250 feet,
level off for 5 minutes, and then repeat the process
several times. If the sub was on the ocean’s surface at
the beginning of the exercise, find its depth after the
8th dive.