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Chapter 1: Problem 52

Subtract, then check the answer by using addition. $$9-1 \quad \text { Check: } \square+1=9$$

Short Answer

Expert verified
The result is 8. Checked by: 8 + 1 = 9.

Step by step solution

01

Perform the Subtraction

Subtract 1 from 9. \[ 9 - 1 = 8 \]
02

Check the Answer Using Addition

To verify the subtraction, add the result (8) back to 1. The sum should equal the original number, 9. \[ 8 + 1 = 9 \]

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Key Concepts

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

Subtraction Verification
Subtraction is a basic arithmetic operation where you take away a number from another number. Let's break it down with our example. We started with 9 and subtracted 1, giving us 8. Simple, right?
But how can you be sure that 8 is the correct answer? That's where verification comes into play. Verification is a way to double-check your work. You do this by reversing the operation. After subtracting 1 from 9 to get 8, you add 1 back to 8. If it gives you the number you started with (9), then you did the subtraction correctly!
In our case, \(8 + 1 = 9\), so we confirmed that our original subtraction was accurate.
Addition for Verification
Addition is not just for adding numbers. You can also use it to check your subtraction. To verify your answer using addition, follow these steps:
  • Take the result of your subtraction. For us, it鈥檚 8.
  • Add the number you subtracted initially (in this case, 1).
  • Check if the sum equals the number you started with.
If these steps hold true, your subtraction is verified. If you ever find a mistake, you can go back and correct it.
This method helps build confidence in your math skills and ensures that errors are caught early.
Basic Arithmetic
Basic arithmetic includes several fundamental operations: addition, subtraction, multiplication, and division. Subtraction and addition are inverses of each other. This means you can use one to check the other, improving your accuracy.
In general:
  • Subtraction: Taking one quantity away from another (\(a - b\)).
  • Addition: Combining quantities (\(a + b\)).
Practicing these operations helps you understand how numbers interact. It鈥檚 like building blocks for more complex math concepts. Never underestimate the power of mastering these basics. They form the foundation for everything else in mathematics.

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