Problem 104 Solve. Write a decimal number ... [FREE SOLUTION]

Chapter 5: Problem 104

Solve. Write a decimal number that is greater than 48.1 , but less than 48.2 .

Short Answer

Expert verified

A number like 48.15 is between 48.1 and 48.2.

Step by step solution

Understand the Range

We need to find a decimal number that is greater than 48.1 and at the same time, less than 48.2. This requires identifying numbers that are between these two given decimal numbers.

Identify Possible Numbers

The number must be just above 48.1 and just below 48.2. For example, numbers like 48.11, 48.15, or 48.19 satisfy the condition because:\[48.1 < 48.11 < 48.2\]

Select a Specific Number

Choose one of the possible numbers from the range. Let's take 48.15 as it clearly satisfies the inequality condition of being more than 48.1 and less than 48.2.

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.

Understanding Number Range

A number range defines the span between two numbers and includes the numbers between them. Consider the range from 48.1 to 48.2, inclusive of the numbers that could fall in between. Imagine this like a stretch on a number line. If we zoom into the range from 48.1 to 48.2, we're focusing on all the decimal numbers lying strictly between these two to satisfy certain conditions. When we specify a number range, we're talking about a boundary that numbers cannot go beyond.

Decoding Inequality

Inequality is a mathematical expression that compares two values. It shows the relationship between two numbers in terms of their size. For example, saying a number is greater than 48.1 and less than 48.2 is an inequality. It's expressed as \(48.1 < x < 48.2\), where \(x\) is the number we're trying to find. This form indicates that \(x\) needs to be more than 48.1 but not reach 48.2. When solving inequalities, it鈥檚 essential to find a value that makes the inequality true.

Exploring Place Value

Place value helps us understand the value of each digit in a decimal number. In the number 48.15, the first digit 4 represents four tens, or 40. The 8 represents eight ones, contributing to 48. Next, the digit 1 comes after the decimal point, signifying eight-tenths, or 0.1. Finally, the digit 5 represents five-hundredths, or 0.05.

Each position left of the decimal point increases the digit's value by ten times.
Every position right of the decimal point decreases it by ten times.

Understanding place value is crucial for decimal comparison and for finding numbers within specific ranges.

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Solve. Write a decimal number that is greater than 48.1 , but less than 48.2 .

Short Answer

Step by step solution

Understand the Range

Identify Possible Numbers

Select a Specific Number

Key Concepts

Understanding Number Range

Decoding Inequality

Exploring Place Value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Logic and Functions

Statistics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.