What Is The Value Of (1-17)×0×(-28)
Introduction
When it comes to mathematical expressions, understanding the order of operations is crucial in determining the final result. In this case, we are given the expression (1-17)×0×(-28) and we need to find its value. This expression involves multiple operations, including subtraction, multiplication, and exponentiation. In this article, we will break down the expression step by step and determine its final value.
Understanding the Order of Operations
The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Evaluating the Expression
Now that we understand the order of operations, let's evaluate the expression (1-17)×0×(-28) step by step.
Step 1: Evaluate the Expression Inside the Parentheses
The first step is to evaluate the expression inside the parentheses: (1-17). This is a simple subtraction operation, and the result is -16.
result = 1 - 17
print(result) # Output: -16
Step 2: Multiply -16 by 0
Next, we multiply the result -16 by 0. In mathematics, any number multiplied by 0 is equal to 0.
result = -16 * 0
print(result) # Output: 0
Step 3: Multiply 0 by -28
Finally, we multiply the result 0 by -28. Again, any number multiplied by 0 is equal to 0.
result = 0 * -28
print(result) # Output: 0
Conclusion
In conclusion, the value of the expression (1-17)×0×(-28) is 0. This is because any number multiplied by 0 is equal to 0, and the order of operations dictates that we perform the multiplication operations from left to right.
Frequently Asked Questions
- Q: What is the order of operations? A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations.
- Q: What is the value of (1-17)×0×(-28)? A: The value of the expression (1-17)×0×(-28) is 0.
- Q: Why is the value of the expression 0? A: The value of the expression is 0 because any number multiplied by 0 is equal to 0.
Final Answer
The final answer is 0.
Introduction
In our previous article, we explored the value of the expression (1-17)×0×(-28) and determined that it is equal to 0. However, we understand that there may be many questions and concerns regarding this expression. In this article, we will address some of the most frequently asked questions and provide additional insights into the world of mathematics.
Q&A
Q: What is the order of operations?
A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: Why is the value of (1-17)×0×(-28) equal to 0?
A: The value of the expression (1-17)×0×(-28) is equal to 0 because any number multiplied by 0 is equal to 0. This is a fundamental property of mathematics, and it applies to all numbers, regardless of their size or sign.
Q: What happens when you multiply a negative number by a positive number?
A: When you multiply a negative number by a positive number, the result is always negative. For example, -3 × 4 = -12.
Q: What happens when you multiply a positive number by a negative number?
A: When you multiply a positive number by a negative number, the result is always negative. For example, 3 × -4 = -12.
Q: What happens when you multiply two negative numbers together?
A: When you multiply two negative numbers together, the result is always positive. For example, -3 × -4 = 12.
Q: What happens when you multiply two positive numbers together?
A: When you multiply two positive numbers together, the result is always positive. For example, 3 × 4 = 12.
Q: Can you explain the concept of zero in mathematics?
A: Yes, zero is a fundamental concept in mathematics that represents the absence of quantity or magnitude. In other words, zero is the number that is neither positive nor negative. It is often represented by the symbol "0" and is used as a placeholder in numerical expressions.
Q: How does zero affect the order of operations?
A: Zero does not affect the order of operations. However, it can affect the result of an expression, as we saw in the case of (1-17)×0×(-28).
Conclusion
In conclusion, the value of the expression (1-17)×0×(-28) is 0 because any number multiplied by 0 is equal to 0. We hope that this article has provided additional insights into the world of mathematics and has helped to clarify any questions or concerns you may have had.
Frequently Asked Questions
- Q: What is the order of operations? A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression.
- Q: Why is the value of (1-17)×0×(-28) equal to 0? A: The value of the expression (1-17)×0×(-28) is equal to 0 because any number multiplied by 0 is equal to 0.
- Q: Can you explain the concept of zero in mathematics? A: Yes, zero is a fundamental concept in mathematics that represents the absence of quantity or magnitude.
Final Answer
The final answer is 0.