Problem 44
Question
Write a true sentence using either \(< or >\) $$ 0 \square-7 $$
Step-by-Step Solution
Verified Answer
0 > -7
1Step 1: Understand the Relationship
Compare zero with the negative number -7. A positive number is always greater than a negative number.
2Step 2: Select the Correct Symbol
Since zero is greater than -7, we use the greater than symbol '>'.
3Step 3: Write the Sentence
Combine the numbers with the selected symbol to write the true sentence: 0 > -7
Key Concepts
Comparison of NumbersGreater Than SymbolPositive and Negative Numbers
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 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.
- 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:
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.
- 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:
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.
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.