Page 62 - Algebra 1

L E S S O N Adding and Subtracting Real Numbers 10
Warm Up
1. Vocabulary Any real number that cannot be written as a quotient of
(1)
Simplify.
2. (25 ÷ 5) - (30 ÷ 10)
(4)
3. -4 + (-9) + (-6) (5)
4. (2.45 + 5.75) - (4.85 - 3.75) (4)
5. ( j4k5) (4kj2) (3k3) (3)
number.
integers is called a(n)
New Concepts
When solving a problem containing addition and subtraction of signed numbers, begin by writing the problem as addition only. Next, group and add the terms with like signs. Then add the terms with unlike signs.
Example
1
Adding and Subtracting Fractions and Decimals
Hint
Use the rules below for adding integers.
1. Like signs: Add and keep the sign.
2. Unlike signs: Subtract and keep the sign of the greater absolute value.
Online Connection www.SaxonMathResources.com
Simplify.
a. -_1+_3-_2-(-_4) 5555
SOLUTION
- _1 + _3 - _2 - ( - _4 ) 5555
= - _1 + _3 + ( - _2 ) + _4 5555
= - _1 + ( - _2 ) + _3 + _4 5555
= - _3 + _7 55
= - _4 5
b. 3.16 + (-1.22) - 4.73 + 5.6 SOLUTION
3.16 + (-1.22) - 4.73 + 5.6
= 3.16 + (-1.22) + (-4.73) + 5.6 = 3.16 + 5.6 + (-1.22) + (-4.73) = 8.76 + (-5.95)
= 2.81
Write the problem as addition. Group the terms with like signs. Add numbers with like signs. Add.
Write the problem as addition. Group the terms with the same signs. Add numbers with like signs.
Add.
Lesson 10 47