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Chapter 3: Problem 68

Use \(<\) or \(>\) for \(\square\) to write a true sentence. \(5 \square 0\)

Short Answer

Expert verified
5 > 0

Step by step solution

01

- Understanding the Symbols

Identify the correct inequality symbols: \( < \) means 'less than' and \( > \) means 'greater than'.
02

- Compare the Numbers

Compare the numbers 5 and 0 to determine which is larger. Since 5 is more than 0, write down the inequality as: \( 5 > 0 \).
03

- Substitute the Correct Symbol

Substitute the symbol \( > \) into the original expression to get the true statement: \( 5 > 0 \).

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Key Concepts

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

greater than
The inequality symbol \( > \) means 'greater than.' It is used when comparing two numbers or quantities, and the first number is larger than the second number. For example, in the inequality \( 5 > 0 \), the number 5 is greater than the number 0.

  • Always place the larger number on the left side of the \( > \) symbol.
  • The number on the right of the symbol is always smaller.

The \( > \) symbol is visually like an arrow pointing to the smaller number, indicating that the left side is larger.
less than
The inequality symbol \( < \) means 'less than.' You use this symbol when comparing two numbers or quantities, and the first number is smaller than the second number. For example, in the inequality \( 0 < 5 \), the number 0 is less than the number 5.

  • Always place the smaller number on the left side of the \( < \) symbol.
  • The number on the right of the symbol is always larger.

The \( < \) symbol looks like an arrow pointing to the smaller number, indicating that the left side is smaller.
comparing numbers
Comparing numbers involves determining which number is larger or smaller using inequality symbols like \( < \) and \( > \). Here are some steps for comparing numbers:

  • Identify the numbers you want to compare.
  • Determine which number is larger and which is smaller.
  • Use \( > \) if the first number is larger, or \( < \) if the first number is smaller.

For instance, when comparing 5 and 0, you see that 5 is larger than 0. Therefore, you write it as \( 5 > 0 \). Always ensure you understand which symbol to use, as this can change the meaning of the comparison entirely.

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Most popular questions from this chapter

Vertical Leaps. Eight-year-old Zachary registered vertical leaps of \(12 \frac{3}{4}\) in. \(13 \frac{3}{4}\) in., \(13 \frac{1}{2}\) in., and 14 in. Find ais average vertical leap.

Simplify. $$ \frac{1}{2}-\left(\frac{1}{2}\right)^{2}+\left(\frac{1}{2}\right)^{3} $$

Hiking the Appalachian Trail. Ellen camped and hiked for three consecutive days along a section of the Appalachian Trail. The distances she hiked on the three days were \(15 \frac{5}{32} \mathrm{mi}, 20 \frac{3}{16} \mathrm{mi}\), and \(12 \frac{7}{8} \mathrm{mi}\). Find the average of these distances.

Add and simplify. $$ \frac{5}{7}+\frac{25}{52}+\frac{7}{4} $$

Consider only the numbers \(2,3,4,\) and 5 . Assume each is placed in a blank in the following. $$ \overline{\bar{\square}}+\frac{\square}{\bar{\square}}=? $$ What placement of the numbers in the blanks yields the largest sum?
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