MODULE IN MATHEMATICS 6 Quarter 2 / Week 4/ Day 3

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Mathematics

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6th Grade

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Hard

OLIVER DIZON

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7 Slides • 5 Questions

MODULE IN MATHEMATICS 6 Quarter 2 / Week 4/ Day 3

OBJECTIVE: Interprets and explains the Grouping, Exponent, Multiplication, Division, Addition, Subtraction (GEMDAS) rule.

Rules in solving more than one arithmetic operation:

Simplify the operation in grouping symbols. Start from the innermost grouping symbol.
Evaluate exponential expressions.
Multiply and divide in the order they appear from left or right.
Add and subtract in the order they appear from left or right.
GEMDAS rule means Groupings symbols, Exponents, Multiplication, Division, Addition and Subtraction.

Hazel and Eden are both working on the Value of the expression: 14 + 7 x 6 – 8 ÷ 2. However, they have different answers. Hazel answered 59, while Eden answered 52. Of the two pupils, who answered correctly?

In a series of operations without grouping symbols, multiplication and division are performed first from left to right, followed by addition and subtraction, whichever comes first from left to right.

Answer: 52

The multiplication symbol x may be omitted in a multiplication expression involving grouping symbols.

1. 3 x (8 + 42 ) may be written as 3(8 + 42 )

2. 23 x (122 – 5 2 ) may be written as 23(122 – 5 2 )

3. (2 + 3 + 8 ÷ 2) x (16 – 4 x 3) = (2 + 3 + 8 ÷ 2) (16 – 4 x 3)

Simplify: 2 + (7 x 3) – 5

= 2 + 7 x 3 – 5 Multiply 7 and 3 First.
= 2 + 21 – 5 Add and subtract from left to right.
= 18
ANSWER 18

Simplify: 3 x 4 ÷ (7 – 5) – 12 ÷ 4

= 3 x 4 ÷ (7 – 5) – 12 ÷ 4 Simplify first the expression inside the parenthesis.
= 3 x 4 ÷ 2 – 12 ÷ 4 Then, perform the multiplication and division from left to right.
= 12 ÷ 2 – 12 ÷ 4
= 6 – 3 Subtract.
= 3

Simplify: 7 + [2(12 – 5) + 32] – 18 ÷ 3

= 7 + [2(12 – 5) + 32] – 18 ÷ 3 Simplify first the expression inside the parenthesis.
= 7 + [2(7) + 32] – 18 ÷ 3 Next, multiply 2 and 7 inside the bracket.
= 7 + [14 + 32] – 18 ÷ 3 Add the number inside the bracket.
= 7 + 46 – 18 ÷ 3 Perform the division. Divide 18 by 3.
= 7 + 46 – 6 Then, add and subtract the numbers from left to right.
= 47
ANSWER: 47

Fill in the Blanks

solve the expression.

40 ÷ 8 + (25 – 12)

Type answer...

Fill in the Blanks

solve the expression.

12 x 65 + (34 -11)

Type answer...

Fill in the Blanks

solve the expression.

14\ +\ 7\ \times\ 6\ \left(4^2\ \div\ 2\right)

Type answer...

Fill in the Blanks

solve the expression.

4 x 4 ÷ (7 – 5) – 12 ÷ 4

Type answer...

Fill in the Blanks

$42\ -\ 4\ \cdot\ 3^2\ +\ \left(5-2\right)^3$

solve the expression.

Type answer...

MODULE IN MATHEMATICS 6 Quarter 2 / Week 4/ Day 3

OBJECTIVE: Interprets and explains the Grouping, Exponent, Multiplication, Division, Addition, Subtraction (GEMDAS) rule.

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