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Chapter 1: Problem 54

Add and subtract as in dicated. Subtract 4,355 from the sum of 74 and 7,319 .

Short Answer

Expert verified
The result is 3,038.

Step by step solution

01

Identify the Problem Components

The problem consists of first adding two numbers, 74 and 7,319, and then subtracting 4,355 from the result.
02

Perform the Addition

Add the two numbers: \[74 + 7,319 = 7,393\]
03

Perform the Subtraction

Subtract 4,355 from the sum obtained in the previous step:\[7,393 - 4,355 = 3,038\]
04

State the Result

The final result after performing both operations is 3,038.

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Key Concepts

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

Addition
Addition is one of the basic arithmetic operations and is concerned with combining numbers to get a sum. It involves adding one number to another. In the given problem, we add 74 to 7,319. Let's break it down:
  • When numbers are added, they are aligned from the least significant digit (usually the rightmost side) to the most significant digit (usually the leftmost side).
  • This operation is straightforward: 74 + 7,319 equals 7,393.
  • Each place value can be handled separately to prevent errors, particularly when carrying over is necessary.
The total or sum is what you get from this operation. In this case, the sum is 7,393.
Subtraction
Subtraction is another fundamental arithmetic operation. It represents the operation of removing objects from a collection, akin to taking away one number from another. Here, we take 4,355 away from the sum we found before:
  • Start by ensuring that both numbers are aligned properly by their place values.
  • Subtraction might sometimes involve 'borrowing', which occurs when the top digit is smaller than the bottom digit in any place value column.
  • In our example, 7,393 - 4,355, the operation proceeds smoothly across each digit column.
The outcome of subtracting 4,355 from 7,393 is 3,038. This result tells us the difference between the larger number and the smaller one.
Problem Solving
Problem solving in math is about understanding what the problem asks and determining how to approach it systematically. Our exercise involves combining addition and subtraction to find a solution:
  • First, dissect the problem to understand its components. In this case, it is the addition of two numbers, followed by a subtraction.
  • Next, execute the operations in the correct order. This ensures the solution is accurate.
  • Lastly, confirm your result by double-checking each step. Alternately, you can reverse the operations to verify the outcome.
Engaging in problem-solving activities like this example helps develop critical thinking and numerical fluency. It is a valuable skill both inside and outside of the classroom.

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Most popular questions from this chapter

The number zero is called the additive identity. Why is the term identity so appropriate?

For the following problems, show that the pairs of quantities yield the same sum. $$(731+256)+171 \text { and } 731+(256+171)$$

For the following problems, find the solutions. Add the differen ce between 815 and 298 to the difference between 2,204 and 1,016 .

For the following problems, replace the [U+2610] with the whole number that will make the subtraction true. $$ \begin{array}{r} 28 \\ -\square \\ \hline 16 \end{array} $$

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