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Chapter 5: Problem 45

Perform the indicated operation. $$ 50.2-600 $$

Short Answer

Expert verified
-549.8

Step by step solution

01

Understand Operation Types

The problem asks to perform a subtraction. The format is simple: `50.2 - 600`. We have 50.2 as the minuend and 600 as the subtrahend.
02

Perform Subtraction

Subtract 600 from 50.2. Since 600 is larger and both have a positive sign, the result will be negative. \[ 50.2 - 600 = -549.8 \]
03

Check the Reasonableness of the Answer

Review the arithmetic operation to ensure accuracy. Since 600 is far greater than 50.2, the result being negative and approximately around -550 makes sense.

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Key Concepts

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

Understanding Negative Numbers
Negative numbers are numbers less than zero. When you see them on the number line, they are positioned to the left of zero. Negative numbers are useful because they allow us to express debts, losses, decreases, or lower values in comparison to a reference point.
An easy way to understand negative numbers is to think of temperatures below freezing, or money owed.
  • If it's 5 degrees below zero, you can write it as -5.
  • If you owe someone $10, and you have $0, your balance is -10.
In arithmetic, subtracting a larger number from a smaller one results in a negative number, just like if you have $50.2 and take away $600, you will be in debt by $549.8.
Subtrahend and Minuend: Key Roles in Subtraction
In subtraction, there are two main components to understand: the subtrahend and the minuend.
  • The **minuend** is the number from which you subtract. In our example, 50.2 is the minuend.
  • The **subtrahend** is the number that you subtract. Here, 600 is the subtrahend.
Think of the minuend as the starting amount and the subtrahend as the amount taken away. Subtraction can be thought of like removing or taking away a part of something whole.
Understanding these terms helps in setting up subtraction problems correctly and knowing which number is being decreased and by how much.
Basic Arithmetic Operations: Subtraction
Subtraction is one of the four foundational arithmetic operations, alongside addition, multiplication, and division. When subtracting, the goal is to determine how much is left when one quantity is removed from another.
Here鈥檚 how subtraction works:
  • Identify your minuend and subtrahend.
  • Subtract the subtrahend from the minuend.
  • If the subtrahend is greater than the minuend, the result will be a negative number.
In our exercise, 50.2 is the minuend and 600 is the subtrahend: When you perform the operation:
\( 50.2 - 600 = -549.8 \).
Checking this answer involves confirming that since 600 is significantly larger than 50.2, the result will indeed be negative and close to -550. By practicing these steps, you can master basic arithmetic operations.

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Most popular questions from this chapter

The following pulse rates were recorded for a group of 15 students: $$ 78,80,66,68,71,64,82,71,70,65,70,75,77,86,72 $$ Find the median.

Perform the indicated operation. \(1.278-0.3\)

Divide. Round the quotients as indicated. Divide: \(0.549 \div 0.023 .\) Round the quotient to the nearest hundredth.

Evaluate each expression for \(x=5.65, y=-0.8,\) and \(z=4.52 .\) \(z \div y\)

Divide. Divide 4.8 by -0.6 .
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