What is the answer to math problem 6:3(3+3)=
The Correct Answer and Explanation is :
Correct Answer is:(6:3(3+3)) is (12)
To solve the math problem (6:3(3+3)), we need to follow the order of operations, often abbreviated as PEMDAS/BODMAS. This acronym stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-Step Solution
- Calculate the expression inside the parentheses:
[
3 + 3 = 6
]
Thus, the expression now reads:
[
6:3(6)
] - Interpret the expression correctly:
In mathematical notation, the colon ( : ) typically represents division. Therefore, we can rewrite the expression:
[
6 \div 3 \cdot 6
] - Perform the division and multiplication from left to right:
- First, we divide (6) by (3):
[
6 \div 3 = 2
] - Next, we multiply the result by (6):
[
2 \cdot 6 = 12
]
Final Answer
The final answer to the expression (6:3(3+3)) is (12).
Explanation of Order of Operations
The order of operations is crucial in mathematics to ensure that everyone arrives at the same answer when solving expressions. The parentheses dictate that operations within them should be completed first, which can alter the overall result of the expression.
In our example, the presence of parentheses was important to calculate (3 + 3) before proceeding with division and multiplication. Neglecting this step could lead to confusion and an incorrect solution.
Furthermore, recognizing that the colon ( : ) signifies division is key in interpreting the expression correctly. In this case, by treating it as (6 \div 3 \cdot 6), we maintained the left-to-right approach mandated by the order of operations for multiplication and division, yielding the correct result. This careful attention to the rules allows for clear communication and consistency in solving mathematical problems.