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Chapter 3: Problem 112

What is \(-13.97\) divided by \(28.4 ?\) Round to the nearest tenth.

Short Answer

Expert verified
The answer is -0.5

Step by step solution

01

Perform the Division

The first step is to divide -13.97 by 28.4. The simplest way to do this is to use a calculator because both numbers are decimals. When you divide -13.97 by 28.4, you get approximately -0.4922535211267606.
02

Rounding off the Answer

The second step is to round off the answer to the nearest tenth. This can be done by looking at the value in the hundredths place. If this value is 5 or more, round up. If it's less than 5, leave the value in the tenths place as it is. In this case, the number in the hundredths place is 2 which is less than 5. Therefore, the final answer when rounded off to the nearest tenth is -0.5.

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Key Concepts

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

Rounding Decimals
Rounding decimals is a method of approximating a number to a specific place value for simplicity. It involves looking at the digits following the place value you are rounding to. For example, when rounding -0.4922535211267606 to the nearest tenth:
  • Identify the tenths place, which is -0.4.
  • Look at the next decimal place to the right (the hundredths place). In this instance, it鈥檚 2.
  • If the hundredths digit is 5 or more, you increase the tenths digit by one. Otherwise, keep it the same.
Since 2 is less than 5, you round down, keeping -0.4 as -0.5. Rounding helps simplify calculations and makes numbers easier to understand.
Negative Numbers
Negative numbers are numbers less than zero, found on the left side of the number line. They often appear in various calculations, including division. Here, -13.97 is divided by 28.4. Understanding how negative numbers work is crucial:
  • When you divide a negative number by a positive number, the result is negative.
  • In this division, -13.97 divided by 28.4 results in a negative quotient, approximately -0.4922535211267606.
  • The negative sign signals that the result is below zero on the number line.
Working with negative numbers can initially seem challenging, but remembering their basic rules makes them much easier to handle.
Using Calculators
Calculators are valuable tools for performing accurate arithmetic operations quickly, especially when dealing with decimals and negatives. Here鈥檚 how to effectively use a calculator for dividing -13.97 by 28.4:
  • Enter the first number, -13.97, ensuring you include the negative sign.
  • Press the division symbol.
  • Enter the second number, 28.4.
  • Press the equal sign to get the result, which in this case is approximately -0.4922535211267606.
Using a calculator minimizes errors and saves time. Always double-check your inputs to ensure you have accurate results.

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