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Chapter 1: Problem 3

Perform the indicated operation. [Examples 1, 2, 4] Subtract 23 from 45.

Short Answer

Expert verified
22

Step by step solution

01

Identify the Operation

The problem asks us to subtract 23 from 45. This means we have an operation of the form: \(45 - 23\).
02

Perform the Subtraction

To perform \(45 - 23\), first subtract the units: \(5 - 3 = 2\). Then, subtract the tens: \(4 - 2 = 2\). Thus, \(45 - 23 = 22\).

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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 basic operations in mathematics, often used in everyday life, such as calculating change, measuring distances, or determining time intervals. The essence of subtraction is to find the difference between two numbers, reducing the value of the larger number by the amount of the smaller number.

Here's a quick breakdown of subtraction:
  • The number from which you subtract is called the minuend (in our example, 45).
  • The number you subtract is called the subtrahend (in our example, 23).
  • The result of the subtraction is called the difference (in our example, 22).
Subtraction can also be visualized on a number line by moving to the left from the minuend. Understanding these basic terms and visualizations can help simplify arithmetic operations and build a strong foundation for more complex math topics.
Step-by-Step Solution
When performing a subtraction operation, a systematic approach helps to avoid errors and reinforces understanding. Let's recap the steps used for subtracting 23 from 45, ensuring each step is clear:
  • Identify the operation: Here, the task is to subtract 23 from 45, represented as \(45 - 23\).
  • Start with the units: Look at the numbers in the units (one's) place. Subtract the subtrahend's unit from the minuend's unit: \(5 - 3 = 2\).
  • Move to the tens: Next, address the tens place and subtract: \(4 - 2 = 2\).
  • Combine the results: Assemble the differences from each column (units and tens) to find the overall difference: \(22\).
This methodical breakdown not only clarifies the process but also promotes accuracy and confidence in solving subtraction problems. Keeping track of each place value ensures a solid understanding and reduces mistakes.
Elementary Math Concepts
Grasping elementary math concepts is vital for building a robust mathematical foundation. Among these, subtraction is a core skill that is widely applied in various aspects of daily life and advanced math.

Here are a few foundational aspects that aid in understanding elementary math concepts:
  • Place Value: Recognizing the value of digits based on their place in a number (units, tens, hundreds) is crucial. This helps in correctly aligning numbers during subtraction.
  • Basic Facts: Memorizing subtraction facts (like \(10 - 7 = 3\)) helps automate the process, making it quicker and less error-prone.
  • Practical Applications: Seeing subtraction in real-world scenarios, such as transactions or measuring lengths, enhances comprehension and retention.
By focusing on these underlying concepts, students strengthen their ability to tackle not just subtraction problems, but all arithmetic operations, paving the way for future mathematical success.

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Most popular questions from this chapter

Find a solution for each equation. $$5+n=7$$

Rewrite each of the following using the commutative property of addition. $$5+9$$

Add each of the following. (There is no carrying involved in these problems. $$\begin{array}{r} 27 \\ 4,510 \\ 342 \\ \hline \end{array}$$

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{r} 646 \\ 464 \\ 525 \\ 252 \\ \hline \end{array}$$

Write each of the following in symbols. a. The sum of 4 and 8 is 12 b. The sum of \(a\) and \(b\) is 6
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