In algebra, a fundamental arithmetic number of fact (addition, subtraction, multiplication, and division) is general used in day-to-day life. Addition (+) defined as adding the two numbers. Subtraction (-) defined as the inverse of addition. Multiplication (x) defined as the product of numbers. Division (÷) is a result of dividing two rational numbers when a divisor is not a zero.
Math facts consist of indeterminate expressions. In math, there is a particular facts in which we are not capable to modify those facts. Example for division “Positive ÷ Negative = Negative”. It is a procedure of interactive teaching about the practice math facts.In these articles, we are going to see about number fact families.
A fact family is a group of four statements each of which represent the same meaning. All the four statements have the same meanings. Fact families contain 3 numbers and 2 types of operations. There are 2 types of fact families: addition and subtraction fact families; multiplication and division fact families.
To see the fact families we need to understand the meaning of following words:
Addends: The numbers being added in an addiotion operation. Like 2 and 3 in 2 + 3 = 5
Multiplicands: The numbers being multiplied in a multiplication operation. Like 4 and 5 in 4 x 5 = 20
Inverse operation: Reverse of an operation like inverse operation of addition is subtraction and inverse of multiplication is division.
Here you could see addition fact families and subtraction fact families that discussed below.
Below are the addition and subtraction rules and examples for number fact families-
Addition rules
10 + 8 = 18
(- 10) + (- 5) = - 15
(- 12) + 6 = -6
10 + (-8) = 2
1. (-10) + 7 = ?
Answer: (-3)
2. 14 + (-10) = ?
Answer: 4
Negative rules
(- 16) - 13 = -16 + (-13) = (-29)
16 - (-14) = 16 + 14 = 30
(-17) - (-12) = (-17) + 12 = -5
(-12) - (-15) = (-12) + 15 = -3
1. (-18) – 20 = ?
Answer: (-38)
2. 15 - (-13) = ?
Answer: 28
Here you could see multiplication fact families and division fact families that discussed below.
Below are the multiplication and division rules and examples for number fact familiesRule1: Multiplication of two integers by the linked signs resolve be positive sign
a) Positive x positive = positive
b) Negative x negative = positive
Rule2: Multiplication of two integers by the different signs will be negative
a) Positive x negative = negative
b) Negative x positive = negative
Example problems:
1. Positive x positive = positive
Example: 13 × 12 = 156
2. Negative x negative = positive
Example: (-15) × (-11) = (165)
3. Positive x negative = negative
Example: 11 × (-12) = (-132)
4. Negative x positive = negative
Example: (-4) × 16 = (-64)
Practice problems:
1. (-16) × 10 = ?
Answer: (-160)
2. (-5) × (-60) = ?
Answer: 300
Rule 1: Division of two integers by the linked signs resolve be positive sign
a) Positive ÷ positive = positive
b) Negative ÷ negative = positive
Rule 2: Division of two integers by the different signs will be negative
a) Positive ÷ negative = negative
b) Negative ÷ positive = negative
Example problems:
1. Positive ÷ positive = positive
Example: 100 ÷ 50 = 2
2. Negative ÷ negative = positive
Example: (-80) ÷ (-10) = 8
3. Positive ÷ negative = negative
Example: 120 ÷ (-10) = (-12)
4. Negative ÷ positive = negative
Example: (-90) ÷ (10) = (-9)
Practice problems:
1. (-15) ÷ 15 = ?
Answer: (-1)
2. 65 ÷ (-5) = ?
Answer: (-13)