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Chapter 1: Problem 44

Write a true sentence using either \(< or >\) $$ 0 \square-7 $$

Short Answer

Expert verified
0 > -7

Step by step solution

01

Understand the Relationship

Compare zero with the negative number -7. A positive number is always greater than a negative number.
02

Select the Correct Symbol

Since zero is greater than -7, we use the greater than symbol '>'.
03

Write the Sentence

Combine the numbers with the selected symbol to write the true sentence: 0 > -7

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Key Concepts

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

Comparison of Numbers
Understanding how to compare numbers is fundamental in math. When comparing two numbers, we are determining their relative sizes. This can be done with:
  • Positive numbers
  • Negative numbers
  • Zero

Positive numbers are always greater than zero. Negative numbers are always less than zero. Understanding the position of numbers on a number line helps. Numbers to the right are greater. Numbers to the left are smaller. Therefore, when comparing zero and -7, since zero is on the right of -7, zero is greater.
Greater Than Symbol
The greater than symbol '>' is vital in math. It shows that one number is larger than another. For example:
  • 2 > -3 means 2 is greater than -3
  • 5 > 0 means 5 is greater than 0
  • -1 > -7 means -1 is greater than -7

The symbol always points to the smaller number. In our exercise, 0 > -7, the open part of the symbol faces zero. This means zero is greater.
Positive and Negative Numbers
Positive and negative numbers have different properties. Positive numbers are greater than zero. Negative numbers are smaller than zero. This is crucial when comparing numbers.
Examples include:
  • 3 is a positive number.
  • -2 is a negative number.
  • Zero is neutral, neither positive nor negative.

Understanding this helps when comparing numbers like in the exercise. Since 0 is positive and -7 is negative, we can easily see that 0 is greater than -7.

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Most popular questions from this chapter

Simplify. $$ 4 a-b-4(5 a-7 b+8 c) $$

Simplify. $$ 12 a^{2}-3 a b+5 b^{2}-5\left(-5 a^{2}+4 a b-6 b^{2}\right) $$

Write an equivalent expression without using grouping symbols. $$ -(3 x+5) $$

Solve. Consider only integer replacements. $$2<|x|<5$$

Simplify. $$ -8 a^{2}+5 a b-12 b^{2}-6\left(2 a^{2}-4 a b-10 b^{2}\right) $$
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