/*! 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 41 Which number is larger? $$ 0... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 41

Which number is larger? $$ 0.06,0.58 $$

Short Answer

Expert verified
0.58 is larger than 0.06.

Step by step solution

01

Understand the Numbers

Examine each number given. The two numbers provided are 0.06 and 0.58.
02

Compare the Decimal Places

Look at the decimal places of each number. The first digit after the decimal point for 0.06 is 0, and for 0.58, it is 5.
03

Determine Larger Number Based on Decimal

Since 5 is greater than 0, we can already determine that 0.58 is larger than 0.06 without comparing further.

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.

Decimals
Decimals represent fractional parts of a whole number. They are based on the number 10, which is why they are called 鈥榙ecimal.鈥� Each position of a digit in a decimal number has a particular value called the place value. For example, in the number 0.58, the digit 5 is in the tenths place, and the digit 8 is in the hundredths place. It means that 0.58 is composed of 5 tenths and 8 hundredths. Decimals are written in the form of a number followed by a decimal point (.) and then followed by one or more digits.
Some key points about decimals:
  • Decimals are a way of expressing fractions like 1/2 as 0.5.
  • They are used in situations where more precision is needed than whole numbers can provide.
  • Each place value in a decimal is ten times smaller than the place value to its left.
Place Value
Place value is the value of each digit in a number based on its position. For example, in the decimal number 0.58, the place value of 5 is the tenths place, and its value is 0.5. The place value of 8 is the hundredths place, and its value is 0.08. This is important in comparing decimals because it helps to determine which digits to compare first.
To understand place values in a decimal more clearly:
  • The first digit after the decimal point is the tenths place.
  • The second digit is the hundredths place.
  • The third digit is the thousandths place, and so on.
So, when comparing decimals such as 0.06 and 0.58, the tenths place will be the primary indicator of which number is larger. Since 5 in the tenths place (0.58) is greater than 0 in the tenths place (0.06), you can determine that 0.58 is larger.
Greater Than and Less Than
The concepts of 鈥榞reater than鈥� (>) and 鈥榣ess than鈥� (<) are crucial when comparing numbers, including decimals. When we compare two numbers, we determine which number is larger or smaller by evaluating their digits and their place values. In the given exercise of 0.06 and 0.58, we directly compare the digits in the tenths place.
Here are some points to keep in mind when comparing decimals:
  • First, compare the digits in the highest place value (just to the right of the decimal point).
  • If the digits are the same, move to the next place value to the right and compare those digits.
  • Continue comparing digits until you find a difference, and that will indicate which decimal is greater or less.
In the example, 0.06 has a tenths place value of 0, and 0.58 has a tenths place value of 5. Therefore, 0.58 is greater than 0.06 because 5 is greater than 0.

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

Find decimal notation for \(\frac{1}{9}, \frac{1}{99},\) and \(\frac{1}{999} .\) Observe the pattern and guess the decimal notation for \(\frac{1}{9999}\).

Add. $$ 99.6001+7285.18+500.042+870 $$

After-School Supplies. Elijah wants to buy 35 boxes of crayons at \(\$ 1.89\) per box for the after-school program that he runs. Estimate the total cost of the crayons.

Add. $$ \begin{array}{r} 4203.28 \\ +\quad 3.39 \\ \hline \end{array} $$

Add. $$ 0.34+3.5+0.127+768 $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

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.