Problem 172 In the following exercises, subt... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 172

In the following exercises, subtract and then check by adding. $$ 63-59 $$

Short Answer

Expert verified

The result is 4. Verified by addition: 59 + 4 = 63.

Step by step solution

- Subtract the Numbers

First, subtract the smaller number from the larger number: $63 - 59$.

- Calculate the Difference

Perform the subtraction: $63 - 59 = 4$.

- Check by Adding

Add the difference to the smaller number: $59 + 4$. If the result equals the original larger number, the subtraction is correct.

- Verify the Addition

Perform the addition: $59 + 4 = 63$. The result matches the original number, so the subtraction is correct.

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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 arithmetic operations where you take away a certain amount from a number. In this exercise, we subtract 59 from 63. To do this, we start with the larger number and subtract the smaller number. This is written as: $63 - 59$.
When we perform the subtraction, we find the difference: $63 - 59 = 4$.

Subtraction can be broken down into smaller steps if you're dealing with larger numbers or need extra clarity:

Line up the numbers by their place values.
Subtract each digit starting from the rightmost digit (units place).
If a digit in the minuend (number being subtracted from) is smaller than the corresponding digit in the subtrahend (number being subtracted), borrow from the next left digit.

Understanding subtraction is essential, not just for this exercise but for many real-life situations and other mathematical problems.

Addition

Addition is another basic arithmetic operation where you combine two numbers to get a total. In this exercise, addition is used to verify that the subtraction was done correctly. Once we got the result from the subtraction $63 - 59 = 4$, we add this difference to the smaller number. This is written as: $59 + 4$.

We perform the addition: $59 + 4 = 63$. This checks our subtraction because the initial larger number matches the result of the addition.

To ensure correctness in addition:

Line up the numbers by their place values.
Add each digit starting from the rightmost digit (units place).
Carry over to the next left digit if the sum exceeds 9.

Being comfortable with addition helps in many areas of math and is crucial for verifying results in subtraction.

Verification in Arithmetic

Verification in arithmetic is a technique used to check the correctness of your calculations. In this exercise, we verify the subtraction result by using addition. This ensures that the subtraction was performed correctly. Here's the step-by-step verification process:

Take the difference from the subtraction ($4$ in this case).
Add this difference to the smaller number ($59$).
Check if the result equals the original larger number ($63$).

If these steps match, we have verified that our subtraction is correct. This method strengthens confidence in your calculations and reduces errors.

Always use verification methods in arithmetic to ensure accuracy, especially in more complex problems.

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91影视

In the following exercises, subtract and then check by adding. $$ 63-59 $$

Short Answer

Step by step solution

- Subtract the Numbers

- Calculate the Difference

- Check by Adding

- Verify the Addition

Key Concepts

Subtraction

Addition

Verification in Arithmetic

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