Evaluate the following expressions using GEMDAS or PEMDAS rule.
1. 10 - 2 + 6 + 3
2. (8 + 2) - (9 - 2²)
3. 3²-15 + 5 + (6 + 4)
4. 5 + 2 - 3
5. 20 - 5 x 4 + 1
6) 8 x 2-4÷2 + 6
7) (-3)² - 6+3
8) 9 x 8 - 36 ÷ 4
9) 3 + 2 + 8 ÷ 4 (4-2)
10) 16 - 6² + 36
Answers
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Solution :-
we know that, GEMDAS rule :-
- G = Grouping (Brackets)
- E = Exponents
- M = Multiplication
- D = Division
- A = Addition
- S = Subtraction .
Note :-
- In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.
- Multiplication does not always come before division. We have to do one by one in the order from left to right.
- In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.
Answer (1) :- 10 - 2 + 6 + 3
→ 10 - 2 + 6 + 3
solving subtraction from left,
→ 8 + 6 + 3
→ 17 (Ans.)
Answer (2) :- (8 + 2) - (9 - 2²)
→ (8 + 2) - (9 - 2²)
solving exponents first,
→ (8 + 2) - (9 - 4)
solving brackets now,
→ 10 - 5
→ 5 (Ans.)
Answer (3) :- 3²-15 + 5 + (6 + 4)
→ 3²-15 + 5 + (6 + 4)
→ 3² - 15 + 5 + 10
→ 9 - 15 + 5 + 10
→ (-6) + 5 + 10
→ (-1) + 10
→ 9 (Ans.)
Answer (4) :- 5 + 2 - 3
→ 5 + 2 - 3
→ 7 - 3
→ 4 (Ans.)
Answer (5) :- 20 - 5 x 4 + 1
→ 20 - 5 × 4 + 1
→ 20 - 20 + 1
→ 0 + 1
→ 1 (Ans.)
Answer (6) :- 8 x 2-4÷2 + 6
→ 8 × 2 - 4 ÷ 2 + 6
→ 16 - 2 + 6
→ 14 + 6
→ 20 (Ans.)
Answer (7) :- (-3)² - 6+3
→ (-3)² - 6 + 3
→ 9 - 6 + 3
→ 3 + 3
→ 6 (Ans.)
Answer (8) :- 9 x 8 - 36 ÷ 4
→ 9 x 8 - 36 ÷ 4
→ 72 - 9
→ 63 (Ans.)
Answer (9) :- 3 + 2 + 8 ÷ 4 (4-2)
→ 3 + 2 + 8 ÷ 4 (4-2)
→ 3 + 2 + 8 ÷ 4 × 2
→ 3 + 2 + 2 × 2
→ 3 + 2 + 4
→ 20 (Ans.)
Answer (10) :- 16 - 6² + 36
→ 16 - 6² + 36
→ 16 - 36 + 36
→ (-20) + 36
→ 16 (Ans.)
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