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Chapter 1: Problem 43

Fill in the appropriate ordering symbol: either \(<,>,\) or \(=\). 7_____7.

Short Answer

Expert verified
7 = 7

Step by step solution

01

Understand the Problem

The problem asks to fill in the appropriate ordering symbol between the number 7 and itself.
02

Compare the Numbers

Compare the numbers on both sides of the blank. Here, both numbers are 7.
03

Determine the Symbol

Since both numbers are exactly the same, the correct ordering symbol is '=' to state that 7 is equal to 7.

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Key Concepts

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

Ordering Symbols
In elementary algebra, ordering symbols play a crucial role in comparing numbers. The main symbols you need to know are: < for 'less than', > for 'greater than', and = for 'equal to'. These symbols help us understand the relationship between two numbers.
For example:
  • If you see 3 < 5, it means that 3 is less than 5.
  • If you see 8 > 6, it means that 8 is greater than 6.
  • If you see 7 = 7, it means that 7 is equal to 7.

Remembering these symbols can help you solve many problems that involve comparing numbers.
Comparing Numbers
Comparing numbers means looking at two numbers to understand how they relate to each other. To do this, use the ordering symbols we discussed earlier.
We can compare two numbers by:
  • Looking at their values to see if one number is larger or smaller than the other.
  • Checking if the numbers are the same.

For instance, in the given exercise where you compare 7 and 7, you start by asking yourself:
  • Are they the same?
  • If not, which one is bigger?
  • Or, which one is smaller?

In this case, since 7 is exactly equal to 7, you would use the '=' symbol.
Equal Sign
The equal sign (=) is used to show that two numbers are the same. In mathematical terms, this means the value on the left side is exactly equal to the value on the right side. This is crucial in algebra because it helps to balance equations and compare quantities.
Let's look at some examples:
  • 6 = 6 means both sides have the same value
  • 10 = 5 + 5 shows that 10 is equal to 5 plus 5
  • 14 - 7 = 7 tells us that subtracting 7 from 14 leaves us with 7

In the exercise you are working on now, 7 = 7 uses the equal sign to indicate that these two numbers are the same.

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Most popular questions from this chapter

Locate the given number between two successive integers on the number line. For example, if the given number is \(2.6,\) it is located between 2 and 3 on the number line. $$\frac{-15}{2}$$

In Exercises \(1-66,\) compute the value of each expression. $$-29+(-31)+51$$

Evaluate the given expression. Remember to follow the order of operations. $$\frac{5 \cdot 2+3 \cdot 4+6 \cdot 3}{4 \cdot 5+2 \cdot 6+4 \cdot 2}$$

Factor the given number into its prime factors. If the number is prime, say so. $$91$$

In Exercises \(51-60,\) fill in as many of the following ordering symbols as make the statement true. Choose from \(<, \leq,>, \geq,=, \neq\). 16____12 - 5.
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