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Chapter 1: Problem 43

Identify the minuend, subtrahend, and the difference. $$12-8=4$$

Short Answer

Expert verified
Minuend: 12, Subtrahend: 8, Difference: 4

Step by step solution

01

- Identify the Minuend

The minuend is the first number in a subtraction equation. In the equation \(12 - 8 = 4\), the minuend is \12\.
02

- Identify the Subtrahend

The subtrahend is the second number in a subtraction equation. In \(12 - 8 = 4\), the subtrahend is \8\.
03

- Identify the Difference

The difference is the result of subtracting the subtrahend from the minuend. In \(12 - 8 = 4\), the difference is \4\.

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Key Concepts

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

Minuend
In a subtraction equation, the minuend is the first number. It's the number from which you're taking away another number. For example, in the equation \(12 - 8 = 4\), the minuend is \(12\). Think of the minuend as the starting point or the total amount you have before subtraction. This number needs to be larger than the subtrahend to avoid negative results (unless dealing with negative numbers). Notice how \(12\) stands at the beginning and sets the stage for the rest of the calculation.
Subtrahend
The subtrahend is the second number in a subtraction equation. It is the amount that is being subtracted from the minuend. In the equation \(12 - 8 = 4\), \(8\) is the subtrahend. Think of the subtrahend as the part you're taking away from the whole (the minuend). This number is essential in determining how much of the minuend remains after the subtraction process. It helps us know how much we are removing or 'subtracting' from the initial quantity, leading us to the difference.
Difference
The difference is the result you get after subtracting the subtrahend from the minuend. It's the answer to the subtraction question. In the example \(12 - 8 = 4\), \(4\) is the difference. The difference tells you what remains after the subtrahend has been taken away from the minuend. It's essential for understanding what鈥檚 left over or what鈥檚 been lost in the subtraction process. Mathematically, it can be expressed as \( \text{Difference} = \text{Minuend} - \text{Subtrahend} \). So in this case, \( 4 = 12 - 8 \), revealing how subtraction works to reduce one quantity by the value of another.

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