Adding Integers. Example 1 Evaluate.
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1 Adding Integers
2 Adding Integers 0 Example 1 Evaluate.
3 Adding Integers Example 2 Evaluate.
4 Adding Integers Example 3 Evaluate.
5 Subtracting Integers
6 Subtracting Integers Subtracting Integers Change the subtraction symbol to addition, and change the sign of the number being subtracted. Example 1 Evaluate. =
7 Subtracting Integers Example 2 Evaluate. =
8 Multiplying and Dividing Integers
9 Multiplying and Dividing Integers The product of two numbers having the same sign is positive. The product of two numbers having different signs is negative. Example 1 Evaluate. (a) (b)
10 Multiplying and Dividing Integers The quotient of two numbers having the same sign is positive. The quotient of two numbers having different signs is negative. Example 2 Evaluate. (a) (b)
11 Order of Operations with Integers
12 Order of Operations with Integers Parentheses Exponents Multiplication Division Addition Subtraction In order of appearance, from left to right In order of appearance, from left to right Example 1 Evaluate. 2(5
13 Order of Operations with Integers Example 2 Evaluate. 2 6+(-4)
14 Order of Operations with Integers
15 Order of Operations with Integers Parentheses Exponents Multiplication Division Addition Subtraction In order of appearance, from left to right In order of appearance, from left to right Example 1 Evaluate. 2(5
16 Order of Operations with Integers Example 2 Evaluate. 2 6+(-4)
17 Simplifying Fractions
18 Example Simplify. Simplifying Fractions Divide the numerator and denominator by their greatest common factor to obtain an equivalent fraction in lowest terms. (a) (b) 54 9
19 Adding and Subtracting Fractions
20 Adding and Subtracting Fractions 1. Rewrite the fractions, as needed, so that they have a common denominator (i.e., a number that is divisible by all denominators). 2. Add or subtract numerators; keep the denominator the same. Example 1 Perform the indicated operations, expressing final answer as a simplified fraction = 5 3
21 Adding and Subtracting Fractions Example 2 Perform the indicated operations, expressing final answer as a simplified fraction = 6 12
22 Adding and Subtracting Fractions Example 3 Perform the indicated operations, expressing final answer as a simplified fraction = 20 12
23 Multiplying Fractions
24 Multiplying Fractions Multiply numerators; multiply denominators. Example 1 Perform the indicated operations, expressing final answer as a simplified fraction. 1 1 = 4 3
25 Multiplying Fractions Example 2 Perform the indicated operations, expressing final answer as a simplified fraction. 2 5 = 7 6
26 Dividing Fractions
27 Dividing Fractions Rewrite the division symbol as multiplication, and rewrite the divisor as its reciprocal. Example 1 Perform the indicated operations, expressing final answer as a simplified fraction. 4 3 = 3 2
28 Dividing Fractions Example 2 Perform the indicated operations, expressing final answer as a simplified fraction. 3 2 = 7 7
29 Dividing Fractions Example 3 Perform the indicated operations, expressing final answer as a simplified fraction =
30 Dividing Fractions Example 4 Perform the indicated operations, expressing final answer as a simplified fraction. 7 4 = 15
31 Order of Operations with Fractions
32 Order of Operations with Fractions Parentheses (i.e., numerators and denominators separately) Exponents Multiplication In order of appearance, from left to right Division Addition In order of appearance, from left to right Subtraction Example 1 Perform the indicated operations, expressing final answer as a simplified fraction = 410
33 Order of Operations with Fractions Example 2 Perform the indicated operations, expressing final answer as a simplified fraction =
34 Order of Operations with Fractions Example 3 Perform the indicated operations, expressing final answer as a simplified fraction = 5 10
35 Order of Operations with Fractions Example 4 Perform the indicated operations, expressing final answer as a simplified fraction =
36 Evaluating Expressions at Specified Values
37 Evaluating Expressions at Specified Values Example 1
38 Evaluating Expressions at Specified Values Example 2 =
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