What is the answer to 60+60×0+1=?
The Correct Answer and Explanation is:
The correct answer to the expression 60 + 60 × 0 + 1 is 61.
Explanation:
To solve this problem, it’s essential to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let’s break the expression down step by step:
Expression:
[
60 + 60 \times 0 + 1
]
- Multiplication first: According to the order of operations, multiplication comes before addition. In this expression, we have 60 × 0. This equals 0 because any number multiplied by 0 is always 0. So, the expression becomes:
[
60 + 0 + 1
] - Addition next: Now, we can perform the addition operations from left to right. First, add 60 + 0, which gives 60. Then, add 60 + 1, which equals 61.
So, the final result is:
[
61
]
Why is this important?
Understanding the order of operations is crucial in mathematics because it ensures that everyone solves mathematical problems the same way and gets the same result. If we ignored the order of operations and simply added from left to right, we might incorrectly calculate the expression as:
[
(60 + 60) \times 0 + 1 = 120 \times 0 + 1 = 0 + 1 = 1
]
This would be wrong.
By adhering to PEMDAS, we correctly prioritize the multiplication first, followed by the addition. This is why the answer is 61, not 1 or any other incorrect value.
In summary, the key takeaway is that multiplication has a higher precedence than addition, and we always solve multiplication and division before addition and subtraction unless parentheses dictate otherwise.