/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 68 Round each decimal to the given ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 68

Round each decimal to the given place value. $$ -0.892, \text { nearest hundredth } $$

Short Answer

Expert verified
The rounded number is -0.89.

Step by step solution

01

Identify the Place Value

To round the number -0.892 to the nearest hundredth, first identify the digit located in the hundredths place. In this case, the digit in the hundredths place is 9.
02

Look at the Next Digit

Examine the digit immediately to the right of the hundredths place to determine whether to round up or keep the digit the same. Here, the digit in the thousandths place is 2.
03

Apply Rounding Rule

Since the digit in the thousandths place is less than 5 (2 in this case), we do not need to round up the hundredths place. The digit in the hundredths place remains 9.
04

Construct the Rounded Number

Now, write the number keeping the digits intact up to the hundredths place while discarding those thereafter. Therefore, the rounded number is -0.89.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Place Value
When dealing with numbers, especially decimals, it's crucial to understand the concept of place value. Place value helps determine the weight or significance of each digit in a number.
For instance, in the decimal number 0.892, the digit 8 is in the tenths place, 9 is in the hundredths place, and 2 is in the thousandths place.
Knowing place value allows us to perform operations like rounding, addition, and subtraction with ease. It's like knowing the positions on a sports team; each position has a specific role.
Hundredths Place
The hundredths place is the second position to the right of the decimal point. It's a critical place in rounding since it often determines the rounded value of a whole number or another decimal.
In our example, the number -0.892 has the digit 9 in the hundredths place.
Understanding which digit occupies the hundredths place helps in deciding how to round a number effectively. When working with currencies, for instance, measures often need to be precise to the hundredths place.
Rounding Rules
Rounding is a mathematical process where numbers are approximated to a specific place value. The basic rounding rule is straightforward: check the digit right after the place you are rounding to.
Here are the rules to remember:
  • If this digit is 5 or greater, round the number up by one in the specified place value.
  • If it's less than 5, the number remains the same in the specified place value.

For example, in -0.892, the digit in the thousandths place is 2, which is less than 5, so the number rounds down at the hundredths place to -0.89.
Thousandths Place
The thousandths place is the third spot to the right of the decimal. It can significantly impact rounding decisions, especially when rounding to the nearest hundredth.
In the exercise, -0.892 has the digit 2 in the thousandths place. This digit played a pivotal role in the rounding process.
Recognizing the implications of digits in the thousandths place is essential. While they aren鈥檛 always included in the final rounded number, they guide whether the next left digit should be increased.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The following pulse rates were recorded for a group of 15 students: $$ 78,80,66,68,71,64,82,71,70,65,70,75,77,86,72 $$ How many pulse rates were lower than the mean?

Divide. \(\frac{83.397}{100}\)

Write each fraction in simplest form. \(\frac{4 x}{36}\)

There are 2.54 centimeters in 1 inch. How many inches are there in 50 centimeters? Round to the nearest tenth.

Choose the best estimate. \(302.729-28.697\) a. 270 b. 20 c. 27 d. 300
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.