162 Chapter 2 The Integers
VOCABULARY
Fill in the blanks.- is the (or inverse) of 8.
- When we change a number to its opposite, we say we
have changed(or reversed) its. - To evaluate an expression means to find its.
- The difference between the maximum and the
minimum value of a collection of measurements is
called the of the values.
CONCEPTS
Fill in the blanks.- To subtract two integers, add the first integer to the
(additive inverse) of the integer to be
subtracted. - Subtracting is the same as the opposite.
- Subtracting 3 is the same as adding.
- Subtracting is the same as adding.
- We can find the in a quantity by subtracting
the earlier value from the later value. - After rewriting a subtraction as addition of the
opposite, we then use one of the rules for the
of signed numbers discussed in the previous
section to find the result. - In each case, determine what number is being
subtracted.
a. b. - Fill in the blanks to rewrite each subtraction as addition
of the opposite of the number being subtracted.
a.
b.
c.
d. - Apply the rule for subtraction and fill in the three
blanks. - Use addition to check this subtraction:.
Is the result correct?
NOTATION- Write each phrase using symbols.
a. negative eight minus negative four
b. negative eight subtracted from negative four
14 (2) 12
3 (6) 3
2 (7) 2
2 7 2
2 (7) 2
2 7 2
7 3 1 (12)
6
8
- Write each phrase in words.
a.
b.
Complete each solution to evaluate each expression.
17.18.19.20.GUIDED PRACTICE
Subtract.See Example 1.Perform the indicated operation.See Example 2.- a. Subtract from.
b. Subtract from. - a. Subtract from.
b. Subtract from. - a. Subtract from.
b. Subtract from. - a. Subtract from.
b. Subtract from.
Evaluate each expression.See Example 3.
- 10 9 (8) 40. 16 14 (9)
4 (4) 15 3 (3) 10
15 57
57 15
16 41
41 16
19 2
2 19
11 1
1 11
15 65 12 82
3 21 8 32
11 (7) 10 (5)
8 (1) 3 (8)
5 5 7 7
4 3 4 1
5
5 ()
(5)( 1 4)[ 1 ()]
10
(6)
( 8 2)(6)[ 8 ()](6)
5
6 5 (5) 6 5
2
1 3 (2) 1 () 2
2 (7)
7 (2)
SECTION 2.3 STUDY SET