Fundamentals of Math

Fundamentals of Mathematics

Practice 1.2.2 Directions: Match the equations with the property being used

1 7

1. _________ Commutive Property of Addition

a. 7 ×

= 1

2. _________ Commutive Property of Multiplication

b. 4(1 + 2) = 4(1) + 4(2)

3. _________ Associative Property of Addition

c.

4(2) = 2(4)

4. _________ Associative Property of Multiplication

d, 5 × 1 = 5

5. _________ Distributive Property

e. 8 + (−8) = 0

6. _________ Identity Property of Addition

f.

3 × (5 × 9) = (3 × 5) × 9

7. _________ Identity Property of Multiplication

g. 7 + 9 = 9 + 7

8. _________ Inverse Property of Addition

h. 6 + 0 = 6

9. _________ Inverse Property of Multiplication

i.

5 + (6 + 1) = (5 + 6) + 1

Answer Key on Page 116

1.3 Factors and Multiples Mathematics is broken into multiple branches, with Arithmetic being one of them. Arithmetic focuses on properties and manipulations of real numbers. Let us look at two common manipulations known as factors and multiples. A factor is a number that divides evenly into a number with no remainder. Think of decomposing a number. Each number has a finite number of factors. While it's opposite, a multiple is a number that is the result of multiplying a given number by another. Unlike factors, multiples are infinite.

Figure 1.3.1 Factor and Multiple Comparison Factors

Multiples

Factor refers to an exact divisor of the given number. It’s a number multiplied to get another number.

Multiple refers to the product of a given number and another. It is the result of a product between a number and an integer.

Definition

What is it?

The Final Answer Can Be …

Finite

Infinite

Less than or equal to (≤) the given number.

Greater than or equal to (≥) the given number.

Result

Operator Used

Division

Multiplication

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