Provide solutions for PEMDAS Problems:
PEMDAS is an acronym of the words parenthesis, exponent, multiplication, division, addition & subtraction. If a given math expression has two or more operations, then you need to use PEMDAS to find first, second, third & so on, until the outcome is available. If a given math expression has grouping symbols, then according to PEMDAS, you must calculate inside the grouping symbols first.
Provide solutions for the following PEMDAS problems:
Question: 8 ÷ 2 (2 + 2) = ?
Answer: We solve inside parenthesis first:= 8 ÷ 2 x (4)
Division & multiplication has same priority so we solve operation from left to right.
= 4 x 4
= 16
Answer = 16
Question: 3 + 3 x 3 - 3 + 3 = ?
= 3 + 9 - 3 + 3
= 12
Answer = B. 12
Question: 15 – 1 (12 ÷ 4 + 1)
Answer: This question can be solved using PEMDAS. Operations inside parenthesis must be solved first:
= 15 – 1 x (12 ÷ 4 + 1)
= 15 – 1 x (3 + 1)
= 15 – 4
= 11
Answer = 11
Question: 20 ÷ 5 (2)
Answer: We can use PEMDAS to solve this question. According
to PEMDAS, division must be solved first.
= 20 ÷ 5 x 2
= 4 x 2
= 8
Answer = B. 8
Use PEMDAS calculator for proof: PEMDAS Calculator
Question) 2 + 2 x 2 + 2 = ?
Answer: We can use PEMDAS to solve this question. According
to PEMDAS, multiplication must be solved before addition.
= 2 + 4 + 2
= 8
Answer = a. 8
Question) 5 + 5 x 5 + 5
= 5 + 25 + 5
= 35
Answer = B. 35
Question) 16 ÷ 4 (4) = ?
Answer: 16 / 4 (4) = ?
This question involves division & multiplication operators, & we can simply solve it using PEMDAS.
There is only 1 number inside parenthesis “4” that has a multiplication operator with another number “4” outside parenthesis. This question can be written as:
16 / 4 x 4 = ?
According to PEMDAS, division & multiplication operators have same priority so if a question has both operators then we need to solve from left to right. Which means an operator on the left must be performed first.
First divide 16 by 4 to get 4,
4 x 4 = ?
? = 16
Unknown number is 16.
Hence answer of this question is A. 16
Question) 12 ÷ 2 ÷ 3 ÷ 2 = ?
This question has multiple division operators. You need to start dividing from left to right.
First divide 12 by 2 to get 6
6 ÷ 3 ÷ 2 = ?
Now divide 6 by 3
2 ÷ 2 = ?
Dividing 2 by 2 gives us the final answer = 1
Question) 48 ÷ 8 (14 - 8) = ?
Answer: First of all, I am going to explain what is PEMDAS & how it is applied to solve math problems.
We can use PEMDAS to solve above problem. First of all, we need to solve operators inside bracket.
= 48 ÷ 8 (14 - 8)
= 48 ÷ 8 (6)
= 48 ÷ 8 x 6
In PEMDAS rule, multiplication comes before division but these 2 operators have same priority, & if an expression has both multiply & divide operators then we need to solve from left to right. Division comes before multiplication so we should first divide.
= 48 ÷ 8 x 6
6 x 6 = 36
Answer = b. 36
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