Problem 44 Use $<$ or $>$ to writ... [FREE SOLUTION]

Chapter 2: Problem 44

Use $<$ or $>$ to write a true statement. $$0 ? 5$$

Short Answer

Expert verified

Answer: The less than symbol (\<) should be used to create a true statement between the numbers 0 and 5, as 0 is less than 5. The true statement is: $$0 < 5$$.

Step by step solution

Compare the numbers

Compare the given numbers 0 and 5. Since 0 is smaller than 5, we can conclude that 0 is less than 5.

Use the appropriate symbol

Use the less than symbol ($<$) to write a true statement.

Write the final statement

Using the less than symbol, we can express the true statement as: $$0 < 5$$

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Key Concepts

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

Comparing Numbers

In mathematics, comparing numbers is a fundamental concept that helps us understand relationships between different values. When we compare, we are actually evaluating which number is larger, smaller, or if they are equal.

To compare numbers efficiently:

Identify each number involved in the comparison.
Determine their relative size by considering their position on the number line or using their respective values.
Decide if one is greater, lesser, or equal to the other.

In the exercise example, we compare 0 and 5. Clearly, 0 is smaller than 5. This decision is crucial for writing correct mathematical statements involving inequalities.

Less Than Symbol

The less than symbol, represented by ( (< )), is a vital tool in mathematics used to express that one quantity is less than another. It visually resembles an arrow pointing left from a smaller opening side, making it intuitive as the 'less than' comparison is open towards the smaller number.

When using the less than symbol:

Position the smaller number on the left side.
Place the (< ) symbol between the two numbers.
Ensure the larger number is on the right side.

For instance, in the provided exercise, the statement "0 < 5" correctly applies the less than symbol, indicating that 0 is indeed less than 5.

Mathematical Statements

Mathematical statements are expressions that can either be true or false. They play a pivotal role in logic and reasoning within mathematics, guiding students to derive conclusions based on given facts.

Creating a true mathematical statement:

Ensures the expression aligns with established mathematical rules.
Incorporates correct mathematical symbols to convey meaning.
Is evaluated based on the relationship between the numbers or expressions involved.

In our exercise, the true statement "0 < 5" is both a result of logical reasoning and proper use of the less than symbol, accurately depicting the relationship between the two numbers. This confirms the correctness of the inequality, providing a clear mathematical statement to represent the comparison.

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91影视

Use \(<\) or \(>\) to write a true statement. $$0 ? 5$$

Short Answer

Step by step solution

Compare the numbers

Use the appropriate symbol

Write the final statement

Key Concepts

Comparing Numbers

Less Than Symbol

Mathematical Statements

One App. One Place for Learning.

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