Simplify The Expression: $1.38 \times (-3) \div (-6)$
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Introduction
In mathematics, simplifying expressions is a crucial skill that helps us solve problems efficiently. When dealing with expressions involving multiplication and division, it's essential to follow the correct order of operations to arrive at the correct solution. In this article, we will simplify the expression $1.38 \times (-3) \div (-6)$ using the correct order of operations.
Understanding the Order of Operations
The order of operations is a set of rules that tells us which operations to perform first when we have 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 multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Simplifying the Expression
Now that we understand the order of operations, let's simplify the expression $1.38 \times (-3) \div (-6)$.
Step 1: Multiply 1.38 and -3
To simplify the expression, we need to start by multiplying 1.38 and -3.
Step 2: Divide -4.14 by -6
Next, we need to divide -4.14 by -6.
Conclusion
In this article, we simplified the expression $1.38 \times (-3) \div (-6)$ using the correct order of operations. We started by multiplying 1.38 and -3, and then divided the result by -6. The final answer is 0.69.
Frequently Asked Questions
Q: What is the order of operations?
A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations.
Q: How do I simplify an expression with multiple operations?
A: To simplify an expression with multiple operations, follow the order of operations: parentheses, exponents, multiplication and division, and addition and subtraction.
Q: What is the final answer to the expression $1.38 \times (-3) \div (-6)$?
A: The final answer to the expression $1.38 \times (-3) \div (-6)$ is 0.69.
Additional Resources
For more information on simplifying expressions and the order of operations, check out the following resources:
- Khan Academy: Order of Operations
- Mathway: Simplifying Expressions
- Wolfram Alpha: Order of Operations
Final Thoughts
Simplifying expressions is an essential skill in mathematics that helps us solve problems efficiently. By following the correct order of operations, we can arrive at the correct solution. In this article, we simplified the expression $1.38 \times (-3) \div (-6)$ using the correct order of operations. We hope this article has provided you with a better understanding of how to simplify expressions and the order of operations.
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Q&A: Simplifying Expressions and the Order of Operations
Q: What is the order of operations?
A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations.
Q: What does PEMDAS stand for?
A: PEMDAS stands for:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: How do I simplify an expression with multiple operations?
A: To simplify an expression with multiple operations, follow the order of operations:
- Evaluate any expressions inside parentheses.
- Evaluate any exponential expressions.
- Evaluate any multiplication and division operations from left to right.
- Finally, evaluate any addition and subtraction operations from left to right.
Q: What is the difference between multiplication and division?
A: Multiplication and division are both operations that involve numbers, but they have different effects on the result.
- Multiplication involves adding a number a certain number of times. For example, 3 × 4 = 12, because 3 + 3 + 3 + 3 = 12.
- Division involves finding the quotient of two numbers. For example, 12 ÷ 3 = 4, because 12 ÷ 3 = 4.
Q: How do I simplify an expression with fractions?
A: To simplify an expression with fractions, follow these steps:
- Simplify any fractions in the expression.
- Evaluate any expressions inside parentheses.
- Evaluate any exponential expressions.
- Evaluate any multiplication and division operations from left to right.
- Finally, evaluate any addition and subtraction operations from left to right.
Q: What is the final answer to the expression $1.38 \times (-3) \div (-6)$?
A: The final answer to the expression $1.38 \times (-3) \div (-6)$ is 0.69.
Q: How do I simplify an expression with decimals?
A: To simplify an expression with decimals, follow these steps:
- Simplify any fractions in the expression.
- Evaluate any expressions inside parentheses.
- Evaluate any exponential expressions.
- Evaluate any multiplication and division operations from left to right.
- Finally, evaluate any addition and subtraction operations from left to right.
Q: What is the difference between a variable and a constant?
A: A variable is a letter or symbol that represents a value that can change. A constant is a value that does not change.
For example, in the expression 2x + 3, x is a variable because its value can change. The number 3 is a constant because its value does not change.
Q: How do I simplify an expression with variables?
A: To simplify an expression with variables, follow these steps:
- Simplify any fractions in the expression.
- Evaluate any expressions inside parentheses.
- Evaluate any exponential expressions.
- Evaluate any multiplication and division operations from left to right.
- Finally, evaluate any addition and subtraction operations from left to right.
Additional Resources
For more information on simplifying expressions and the order of operations, check out the following resources:
- Khan Academy: Order of Operations
- Mathway: Simplifying Expressions
- Wolfram Alpha: Order of Operations
Final Thoughts
Simplifying expressions is an essential skill in mathematics that helps us solve problems efficiently. By following the correct order of operations, we can arrive at the correct solution. In this article, we simplified the expression $1.38 \times (-3) \div (-6)$ using the correct order of operations. We hope this article has provided you with a better understanding of how to simplify expressions and the order of operations.