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Chapter 3: Problem 7

Round to the nearest tenth. $$ -13.8953 $$

Short Answer

Expert verified
-13.9

Step by step solution

01

Identify the digit at tenths place

In the number -13.8953, the first digit after the decimal point is '8', which is in the tenths place.
02

Check the next digit

Look at the digit in the next place value (hundredths place) to decide whether to round up or down. Here, that digit is '9'.
03

Apply the rounding rule

If the digit in the hundredths place is 5 or greater, round up. Hence, '8' rounds up to '9'.
04

Write the rounded number

After applying the rounding rule, the number will be '-13.9'.

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Key Concepts

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

Understanding the Tenths Place
When working with decimal numbers, the tenths place is the first digit immediately after the decimal point. It's crucial to identify this place because it often determines the overall rounded value when you simplify a number. In
  • -13.8953
the tenths digit is '8'. Recognizing this digit helps you know where to focus when rounding decimal numbers. It serves as the starting point in determining whether your final rounded number should be higher or lower.
Once you identify the tenths place, you are ready to decide whether this digit needs to change based on the digits that follow. This provides a foundation for accurate rounding.
Exploring the Hundredths Place
The hundredths place is the second digit after the decimal point and plays a vital role in the rounding process. It helps decide whether the tenths place should increase by one or stay the same. In the case of
  • -13.8953
, the hundredths place is '9'. This digit directly affects the tenths place by guiding whether rounding up occurs.
By examining the hundredths digit, you can make a clear decision about rounding. If this second digit is 5 or more, the tenths place will increase by one. Understanding this relationship is key to mastering the concept of rounding decimals effectively.
Embracing the Rounding Rules
Rounding rules are straightforward methods that help simplify numbers, making them easier to comprehend and use. Here's a simple guideline to follow:
  • If the digit in the hundredths place is 5 or more, increase the tenths place by 1.
  • If it is less than 5, keep the tenths place unchanged.
For example, in
  • -13.8953
, the hundredths digit is '9', which is greater than 5. This means the tenths digit '8' must round up to '9'.
Following these rules ensures accurate and consistent results when rounding numbers, allowing for precision and ease when managing calculations involving decimals.

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