/*! 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 the number to the given pl... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 68

Round the number to the given place value. \(21.007 ;\) tenths

Short Answer

Expert verified
The number 21.007 rounded to the tenths place is 21.0.

Step by step solution

01

Identify the specific place value

The place value that you need to round the number to is the tenths place. In the number 21.007, the number 0 is in the tenths place.
02

Look at the next place value

The next place value after the tenths place is the hundredths place. In the number 21.007, 0 is in the hundredths place.
03

Apply rounding rules

Since the number in the hundredths place (0) is lower than 5, keep the number in the tenths place (0) the same without rounding up.
04

Finalize the rounded number

So, the number 21.007 rounded to the tenths place becomes 21.0.

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
Understanding place value is essential when it comes to rounding numbers. Every digit in a number has its own place, or position, which tells you its value. The place values in a decimal number go from left to right as follows:
  • Ones
  • Tenths
  • Hundredths
  • Thousandths
Each digit is ten times smaller than the one to its left. In the number 21.007, the digit just after the decimal point is in the tenths place. Here, the digit '0' is in the tenths place, meaning it represents 0 tenths (or 0.0 in decimal form). Recognizing these positions is key to rounding correctly.
Rounding Rules
Rounding rules help you decide how to adjust a number based on its digits. To begin rounding, you'll focus on the place value of interest and the digit immediately to its right.

Here's a simple guide to the rounding rules:
  • If the digit to the right is 5 or higher, round up by adding one to the place value you're rounding to.
  • If the digit is less than 5, keep the digit in the place value the same, effectively rounding down.
In 21.007, we want to round to the tenths place. The digit in the hundredths place is 0, which is less than 5. Thus, according to the rounding rules, we do not round up, keeping the tenths place digit unchanged. The result remains 21.0 after rounding.
Decimal Places
Decimal places refer to the number of digits that appear after the decimal point. They are crucial when discussing rounding because they help determine how precise a number is.
  • Each move to the right represents a smaller fraction of a whole number.
  • This means that each additional decimal place can offer more precise measurements.
For instance, in the number 21.007, there are three decimal places: tenths, hundredths, and thousandths. However, when you round 21.007 to the tenths, you effectively "cut off" the remaining decimal places beyond your point of interest, simplifying the number to 21.0. This makes numbers more manageable by reducing the amount of detail they represent, especially in broader calculations or measurements.

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

Convert the fraction to a decimal. Place a bar over repeating digits of a repeating decimal. $$3 \frac{2}{9}$$

A number greater than 1 but less than 10 is divided by \(10,000 .\) How many zeros must be inserted to the left of the number when moving the decimal point to write the quotient?

Place the correct symbol, \(<\) or \(>,\) between the two numbers. $$\frac{5}{8} \quad \frac{13}{20}$$

Evaluate the variable expression \(\frac{x}{y}\) for the given values of \(x\) and \(y\), Is 0.9 a solution of the equation \(\frac{2.7}{a}=\frac{a}{0.3} ?\)

Convert the fraction to a decimal. Place a bar over repeating digits of a repeating decimal. $$\frac{5}{3}$$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

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.