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Chapter 1: Problem 84

Fill in the blank with the inequality symbol \(<\) or \(>\). $$48 \square 47$$

Short Answer

Expert verified
48 > 47

Step by step solution

01

Understand the Problem

You need to determine the inequality symbol (< or >) that correctly fits between 48 and 47.
02

Compare the Numbers

Compare the number 48 with the number 47. Determine which number is larger or smaller.
03

Choose the Correct Inequality Symbol

Since 48 is greater than 47, the correct inequality symbol to use is >.
04

Write the Inequality

Fill in the blank with the correct inequality symbol. The expression becomes: 48 > 47.

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Key Concepts

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

Number Comparison
Number comparison is a fundamental concept in mathematics that helps us determine the relationship between two numbers. To compare numbers, we look at their values and decide which is larger, smaller, or if they are equal.

For example, in the exercise, we compare the numbers 48 and 47. It is clear that 48 is larger than 47.
This comparison process is often essential in understanding more complex math concepts and solving a variety of problems.
Inequality Symbols
Inequality symbols are used to show the relationship between two values in terms of which is larger or smaller. The main inequality symbols are:
  • \(<\) means 'less than'
  • \(>\) means 'greater than'
  • \(\leq\) means 'less than or equal to'
  • \(\geq\) means 'greater than or equal to'
  • \(eq\) means 'not equal to'

In the given problem, the correct symbol to compare 48 and 47 is \(>\) because 48 is greater than 47.
Greater Than and Less Than
The symbols for greater than (\(>\)) and less than (\(<\)) are critical when working with inequalities. These symbols help us quickly convey the idea that one number is bigger or smaller than another.

For better understanding, remember:
  • If the larger opening of the symbol is next to the larger number, it means 'greater than'. For example, 7 > 5.
  • If the smaller end of the symbol points to the smaller number, it means 'less than'. For example, 3 < 6.

In our case, since 48 is larger than 47, the inequality symbol '\(>\)' is used. The final expression is: \(48 > 47\). This clearly indicates that 48 is greater than 47.

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Most popular questions from this chapter

Jeannette has two children who each attended college in Boston. Her son Ricardo attended Bunker Hill Community College where the yearly tuition and fees came to \(\$ 2600 .\) Her daughter Ricki attended M.I.T. where the yearly tuition and fees totaled \(\$ 26,960 .\) If Jeannette paid the full amount for both children to go to school, what was her total expense for tuition and fees for 1 year?

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Write the number in words. $$108$$

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