Evaluate the following expression 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 × 4 + 1
6. 8 × 2 - 4 ÷ 2 + 6
7. (-3)² - 6 + 3
8. 9 × 8 - 36 ÷ 4
9. 3 + 2 + 8 ÷ 4 (4 - 2)
10. 16 - 6² + 36
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Verified answer
1. 10
2. 5
3. 16
4. 4
5. 1
6. 20
7. 6
8. 63
9. 9
10. 16
Step-by-step explanation:
GEMDAS or PEMDAS Rule
The GEMDAS or PEMDAS rule is used when you have to solve an equation with a series of operations involving the four basic operations, parenthesis and exponents. Remember that in any equation with series of operations, you cannot just solve what you want to solve first, there are rules to follow. The rules are based on the name itself.
P - Parenthesis / G - Group
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Solution:
1. 10 - 2 + 6 ÷ 3
= 8 + 2
= 10
2. (8 + 2) - (9 - 2²)
= 10 - (9 - 4)
= 10 - 5
= 5
3. 3² - 15 ÷ 5 + (6 + 4)
= 9 - 3 + 10
= 6 + 10
= 16
4. 5 + 2 - 3
= 7 - 3
= 4
5. 20 - 5 × 4 + 1
= 20 - 20 + 1
= 0 + 1
= 1
6. 8 × 2 - 4 ÷ 2 + 6
= 16 - 2 + 6
= 14 + 6
= 20
7. (-3)² - 6 + 3
= 9 - 6 + 3
= 3 + 3
= 6
8. 9 × 8 - 36 ÷ 4
= 72 - 9
= 63
9. 3 + 2 + 8 ÷ 4 (4 - 2)
= 3 + 2 + 2 (2)
= 3 + 2 + 4
= 9
10. 16 - 6² + 36
= 16 - 36 + 36
= -20 + 36
= 16
For examples of solving equations using PEMDAS, visit the links:
brainly.ph/question/2111504
brainly.ph/question/1919380
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