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Chapter 5: Problem 111

In the following exercises, add or subtract. $$72.5-100$$

Short Answer

Expert verified
-27.5

Step by step solution

01

Identify the Numbers

The numbers provided in the exercise are 72.5 and 100.
02

Understand the Operation

The operation to be performed is subtraction, indicated by the minus sign (-).
03

Perform the Subtraction

Subtract 100 from 72.5. This can be written as: \(72.5 - 100\) Subtracting these values results in -27.5.

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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. It involves taking one number away from another. For example, if you start with 10 apples and eat 3 of them, you are left with 7 apples.
In our exercise, we are subtracting 100 from 72.5. The result tells us the difference between these two numbers.
To perform subtraction:
  • Write down the numbers, aligning the decimal points if necessary.
  • Subtract each digit starting from the rightmost digit and moving to the left.
  • If you need to borrow from the next digit, make sure to do so.

In the case of our exercise, 100 is larger than 72.5, so we will end up with a negative result, which we will explain next.
Negative Numbers
Negative numbers are numbers less than zero, represented by a minus sign (-) in front. They are used to indicate values that go below a starting point, like temperatures below freezing.
In our solution, when subtracting a larger number from a smaller one, we end up with a negative result. For example, when we subtract 100 from 72.5, we get a negative number:
ul>< li>Start with 72.5.
Subtract 100.
  • The difference is -27.5.

    • This means that if you owed someone \(100 but only had \)72.5, you would still owe them $27.5.
    Step-by-Step Solution
    Let鈥檚 break down how we arrived at the solution step-by-step, making it even easier to understand:
    Step 1: Identify the Numbers
    • The numbers in the exercise are 72.5 and 100.

    Step 2: Understand the Operation
    • We need to perform subtraction, as indicated by the minus sign (-).

    Step 3: Perform the Subtraction
    • Written as an equation: 72.5 - 100
    • Since 72.5 is less than 100, we subtract 72.5 from 100, then add a minus sign to the result.
    • This results in -27.5.

    In simpler terms, you are figuring out how much more 100 is than 72.5, and since 100 is indeed more, you end up with a negative number.

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