Which Number Sentence Below Is True?A. $4800 - 1537 = 3267$ B. $1655 + 704 = 951$ C. $983 - 597 = 386$ D. $843 + 3942 = 4875$

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In mathematics, solving number sentences is an essential skill that helps us evaluate the accuracy of various mathematical expressions. A number sentence is a mathematical statement that involves numbers and operations such as addition, subtraction, multiplication, and division. In this article, we will examine four number sentences and determine which one is true.

Understanding Number Sentences

A number sentence is a mathematical statement that can be either true or false. It involves numbers and operations, and the result of the operation is either correct or incorrect. For example, the number sentence "2 + 2 = 4" is true, while the number sentence "2 + 2 = 5" is false.

Evaluating the Number Sentences

Let's evaluate each of the four number sentences given in the problem.

A. 4800−1537=32674800 - 1537 = 3267

To evaluate this number sentence, we need to subtract 1537 from 4800.

4800 - 1537 = 3263

This number sentence is false because the result of the subtraction is 3263, not 3267.

B. 1655+704=9511655 + 704 = 951

To evaluate this number sentence, we need to add 704 to 1655.

1655 + 704 = 2359

This number sentence is false because the result of the addition is 2359, not 951.

C. 983−597=386983 - 597 = 386

To evaluate this number sentence, we need to subtract 597 from 983.

983 - 597 = 386

This number sentence is true because the result of the subtraction is indeed 386.

D. 843+3942=4875843 + 3942 = 4875

To evaluate this number sentence, we need to add 3942 to 843.

843 + 3942 = 4785

This number sentence is false because the result of the addition is 4785, not 4875.

Conclusion

In conclusion, the only true number sentence among the four given options is C. 983−597=386983 - 597 = 386. This number sentence is true because the result of the subtraction is indeed 386.

Tips for Evaluating Number Sentences

When evaluating number sentences, it's essential to follow the order of operations (PEMDAS):

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next.
  3. Multiplication and Division: Evaluate multiplication and division operations from left to right.
  4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

By following the order of operations, you can ensure that you evaluate number sentences accurately and efficiently.

Common Mistakes to Avoid

When evaluating number sentences, it's easy to make mistakes. Here are some common mistakes to avoid:

  • Rounding errors: Be careful when rounding numbers, as small rounding errors can lead to significant differences in the final result.
  • Order of operations: Make sure to follow the order of operations (PEMDAS) to ensure that you evaluate number sentences accurately.
  • Sign errors: Be careful when dealing with negative numbers, as sign errors can lead to incorrect results.

By avoiding these common mistakes, you can ensure that you evaluate number sentences accurately and efficiently.

Real-World Applications

Number sentences have numerous real-world applications. Here are a few examples:

  • Accounting: Number sentences are used in accounting to calculate financial statements, such as balance sheets and income statements.
  • Science: Number sentences are used in science to calculate physical quantities, such as distance, speed, and time.
  • Engineering: Number sentences are used in engineering to calculate structural integrity, stress, and strain.

In our previous article, we discussed the concept of number sentences and evaluated four number sentences to determine which one is true. In this article, we will answer some frequently asked questions about number sentences.

Q: What is a number sentence?

A: A number sentence is a mathematical statement that involves numbers and operations such as addition, subtraction, multiplication, and division.

Q: Why are number sentences important?

A: Number sentences are important because they help us evaluate the accuracy of various mathematical expressions. They are used in various real-world applications, such as accounting, science, and engineering.

Q: How do I evaluate a number sentence?

A: To evaluate a number sentence, you need to follow the order of operations (PEMDAS):

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next.
  3. Multiplication and Division: Evaluate multiplication and division operations from left to right.
  4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: What are some common mistakes to avoid when evaluating number sentences?

A: Some common mistakes to avoid when evaluating number sentences include:

  • Rounding errors: Be careful when rounding numbers, as small rounding errors can lead to significant differences in the final result.
  • Order of operations: Make sure to follow the order of operations (PEMDAS) to ensure that you evaluate number sentences accurately.
  • Sign errors: Be careful when dealing with negative numbers, as sign errors can lead to incorrect results.

Q: How do I determine if a number sentence is true or false?

A: To determine if a number sentence is true or false, you need to evaluate the expression and compare the result to the expected result. If the result matches the expected result, the number sentence is true. If the result does not match the expected result, the number sentence is false.

Q: Can I use a calculator to evaluate number sentences?

A: Yes, you can use a calculator to evaluate number sentences. However, be careful when using a calculator, as it may not always follow the order of operations correctly.

Q: How do I write a number sentence?

A: To write a number sentence, you need to use mathematical notation to represent the numbers and operations involved. For example, the number sentence "2 + 3 = 5" can be written as 2 + 3 = 5.

Q: Can I use variables in number sentences?

A: Yes, you can use variables in number sentences. Variables are symbols that represent unknown values. For example, the number sentence "x + 2 = 5" can be used to solve for the value of x.

Q: How do I solve for variables in number sentences?

A: To solve for variables in number sentences, you need to isolate the variable on one side of the equation. This can be done by adding, subtracting, multiplying, or dividing both sides of the equation by the same value.

Q: Can I use number sentences to solve real-world problems?

A: Yes, you can use number sentences to solve real-world problems. Number sentences are used in various real-world applications, such as accounting, science, and engineering.

Conclusion

In conclusion, number sentences are an essential part of mathematics, and evaluating them accurately is crucial in various real-world applications. By following the order of operations and avoiding common mistakes, you can ensure that you evaluate number sentences accurately and efficiently.