Find the missing and next pattern for each figure with a combination of numerals. 2 __ 6 8 10 99 98 97 __ 95 9 4 45 36 __ 18 28 22 10 __ __ 90 95 100 80
Finding the missing number in an equation Mathematics 4- Quarter 3-Module 6
Equation It is a mathematical sentence that states the equality of expression.
Properties of Operations… Distributive Property of Multiplication over Addition. - factor is multiplied by the sum of two terms - multiply each of the two numbers by the factors and finally perform the addition. Example: 4 × (3+5) = (4×3) + (4×5) 4 × 8 = 12 + 20 32 = 32
Properties of Operations… Commutative Property - the order in which the number are added does not change the sum. Example: 32 + 50 + 8 = 32 + 8 + 50 90 = 90
Properties of Operations… Associative Property - when a factor are grouped in a multiplication problem does not change the product. Example: 5 × (2×5) = (5×5) × 2 5 × 10 = 25 × 2 50 = 50
Properties of Operations… Identity/Zero Property - the sum of any number and zero is the original number. The product of any number and 1 gives the given number. is called the identity element in addition and 1 is the identity of multiplication. Example: + 8 = 8 – element in addition 1 × 8 = 8 – element of multiplication
Direction: Find the missing number/s that would make the equation correct then identify the properties of operation involved. 12 + 16 + 10 = ____ + _____ 12 - _________________ 10 ×(15 × 30) = (10× ____) × (10 ____) – ___________________ 5 × (4×___) = (5× ____) × 3 – ____________ + 150 = ____ + 150 – __________
Direction: Give the property of operations used in each operation. Then write the missing number. (6+12) + (5+7) = 5 + ___) + (____ + 12) - ________________ (7 ×9) × 2 = ____ ×(9 × 2) - _______________ 20 + ____ = 45 + _____ - _____________ 25 + (30 + 45) = (____ + -____30) + 45 - ___________ 5 × (20 + 7) = (_____ × 20) + (7 × _____) - ____________
Assignment… Direction: Find the missing number and solve the equation involving properties of operations.