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Chapter 1: Problem 7

Perform the indicated subtraction. $$8-1-4$$

Short Answer

Expert verified
The result of the subtraction \(8 - 1 - 4\) is 3.

Step by step solution

01

- Subtract the first two numbers

Subtract the second number in the equation from the first one, i.e., \(8 - 1 = 7\).
02

- Subtract the third number from the result of Step 1

Then subtract the third number from the result obtained from Step 1, i.e., \(7 - 4 = 3\).

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Key Concepts

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

Subtraction
Subtraction is one of the four basic arithmetic operations. It involves taking away one number from another. The number you take away is called the "subtrahend.", and the number you subtract from is called the "minuend."
In our exercise, the minuend is 8, and we have two subtrahends: 1 and 4. The process is straightforward, and by working through it, you understand how quantities decrease as you perform each subtraction.
  • Create a mental model where you consider having 8 marbles and giving away 1, leaving you with some marbles, and then giving away 4 more.
  • Through this, you see subtraction in action, showing how quantities diminish.
Step by Step Solution
A step by step solution is like following a guide or recipe. It helps ensure that you tackle each part of the problem properly. In this context, let's explicitly break it down with our exercise:
In Step 1, we subtract 1 from 8:
  • You start with the largest number, 8, and consider what happens when you take away 1. This gives 7.
Then in Step 2, we take the result from Step 1 and subtract the next number, 4:
  • From the 7 you obtained, you subtract 4, which leaves you with 3.
Using this detailed approach helps clarify each move and ensures you have no missteps in solving arithmetic problems.
Mathematical Operations
In mathematics, operations like addition, subtraction, multiplication, and division are crucial. They allow us to manipulate and understand numbers in various contexts. Focusing on subtraction among these operations: - It's about removing or reducing quantities. - Helps in forming comprehensible differences. Operations provide the building blocks for more complex mathematics. Let's remember some properties of subtraction:
  • It's not commutative, meaning 8 - 1 is different from 1 - 8.
  • It acts as the inverse of addition, so adding the subtrahends should take us back to the original number (3 + 4 + 1 = 8).
Understanding how each operation works aids in solving real-world and theoretical problems, making learning these concepts incredibly beneficial.

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Most popular questions from this chapter

Perform the indicated subtraction. $$1.4-(-1.4)$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(7-(-2)=5\)

Perform the indicated subtraction. $$\frac{1}{2}-\frac{1}{4}$$

Perform the indicated subtraction. $$9 \pi-7 \pi$$

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)
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