Problem 28 Subtract. Check by adding. $$ ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 28

Subtract. Check by adding. $$ \begin{array}{r} 32,194 \\ -29,236 \\ \hline \end{array} $$

Short Answer

Expert verified

Subtract: 2,958. Check by adding: 2,958 + 29,236 = 32,194.

Step by step solution

- Align the Numbers

Write the two numbers vertically ensuring that each digit aligns with the corresponding place value.

- Subtract Digit by Digit

Start from the rightmost digit (units place) and move left. If you need to borrow, do so from the next column. For instance, subtract 4 from 6 in the units place.

- Write Down the Difference

Write the result of each subtraction beneath the line to get the final result for each place value.

- Check by Adding

Add the result of the subtraction back to the smaller number (29,236) to ensure it equals the original larger number (32,194). This check confirms the subtraction was done correctly.

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Key Concepts

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

basic mathematics

Understanding subtraction is a fundamental part of basic mathematics. It involves taking one number away from another to find the difference. For example, when we subtract 29,236 from 32,194, we are finding how much more 32,194 is than 29,236. This forms the base for more complex math concepts.

Subtraction should be performed carefully to avoid mistakes. It鈥檚 important to align numbers correctly according to their place values (units, tens, hundreds, etc.). This ensures accurate calculations. Once subtraction is performed, the result must be verified, which leads us to our next core concept, checking subtraction.

checking subtraction

Checking your work after performing a subtraction is crucial to ensure accuracy. You can do this by reversing the operation and adding the result back to the smaller number. For instance, if we subtract 29,236 from 32,194 and get a result, we'll add this result to 29,236. If we come back to the original number, 32,194, our subtraction was correct.

Here's a quick guide:

Perform the subtraction and get the result.
Add this result to the smaller number (29,236 in this case).
If the sum equals the original larger number (32,194), the subtraction is correct.

Checking subtraction helps identify calculation errors and strengthen arithmetic skills.

place value alignment

Correctly aligning numbers by their place values is essential when performing subtraction. Place values are the positions of digits in a number, such as units, tens, hundreds, etc. Misalignment can lead to incorrect subtraction.

Let's break it down:

Write the larger number above the smaller number.
Ensure that digits are aligned according to their place values (units under units, tens under tens, etc.).
Begin subtracting from the rightmost column (units) and move leftwards.
If a digit in the upper row is smaller than the corresponding digit in the lower row, borrow from the next higher place value column.

For example, in the subtraction problem 32,194 - 29,236, align the digits:

32,194
-29,236
--------
This alignment ensures each digit is subtracted correctly, resulting in an accurate difference.

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91影视

Subtract. Check by adding. $$ \begin{array}{r} 32,194 \\ -29,236 \\ \hline \end{array} $$

Short Answer

Step by step solution

- Align the Numbers

- Subtract Digit by Digit

- Write Down the Difference

- Check by Adding

Key Concepts

basic mathematics

checking subtraction

place value alignment

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