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Chapter 1: Problem 82

$$ \begin{array}{r} 13 \\ -7 \\ \hline \end{array} $$

Short Answer

Expert verified
The result of the subtraction is 6.

Step by step solution

01

Write Down the Problem

The problem involves subtracting two numbers. The expression to solve is: \( 13 - 7 \).
02

Identify the Minuend and Subtrahend

In the expression \( 13 - 7 \), the number 13 is the minuend, which is the number from which you subtract. The number 7 is the subtrahend, which is the number you subtract.
03

Perform the Subtraction

Subtract the subtrahend (7) from the minuend (13): \( 13 - 7 = 6 \).
04

Verify The Result

Check your work by adding the difference (6) back to the subtrahend (7) to ensure it equals the minuend (13): \( 6 + 7 = 13 \), confirming the subtraction is correct.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Minuend and Subtrahend
In the world of elementary arithmetic, especially subtraction, understanding the terms "minuend" and "subtrahend" is crucial. When you subtract numbers, you start with the larger number. This number is called the **minuend**. In our example, the minuend is 13.
The number you take away from the minuend is known as the **subtrahend**. In this case, the subtrahend is 7. So, whenever you see an expression like \( 13 - 7 \), think of it as "13 minus 7."
  • **Minuend**: The number from which another number is subtracted. In \( 13 - 7 \), it's 13.
  • **Subtrahend**: The number that is to be subtracted. In \( 13 - 7 \), it's 7.
Identifying these parts correctly will guide you through solving subtraction problems effectively.
Verification of Subtraction
After performing a subtraction problem, it's always a good idea to verify your answer. This serves as a security check to ensure you have not made any errors.
The verification process for subtraction involves a simple addition operation. Take the difference from your subtraction and add it to the subtrahend. If the result equals the minuend, your subtraction is correct.
For our example \( 13 - 7 = 6 \):
  • Add the difference (6) to the subtrahend (7): \( 6 + 7 \).
  • If the sum equals the minuend (13), the subtraction result is verified to be correct.
This reverse check ensures precision and is especially useful in real-world scenarios where accuracy is important.
Elementary Arithmetic
Subtraction is one of the four basic operations in elementary arithmetic, the others being addition, multiplication, and division. Mastering subtraction is essential, as it's used in various daily tasks and advanced math concepts.
When approaching subtraction:
  • Start by identifying the minuend and subtrahend.
  • Subtract the subtrahend from the minuend using straightforward mental math or written methods.
  • Verify your result by checking through addition, as shown previously.
By practicing these steps, you build a solid foundation in arithmetic. This makes more complex math easier to handle, as understanding elementary operations is key to success in math.

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Most popular questions from this chapter

Simplify each algebraic expression by combining similar terms. $$3(x+2)+5(x+6)$$

Simplify each numerical expression. Don't forget to take advantage of the properties if they can be used to simplify the computation. $$-49(72)-49(28)$$

Simplify each numerical expression. Don't forget to take advantage of the properties if they can be used to simplify the computation. $$(-2)(18)(-12)(-5)$$

Is \(2 \cdot 3 \cdot 5 \cdot 7 \cdot 11+7\) a prime or composite number? Defend your answer.

State the property that justifies each statement. For example, \(3+(-4)=(-4)+3\) because of the commutative property for addition. $$143(-7)=-7(143)$$
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