Problem 18 Fill in the blank with $<$ ... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 2: Problem 18

Fill in the blank with $<$ or $>$ to make a true statement. $$-1 \square 0$$

Short Answer

Expert verified

-1 < 0

Step by step solution

- Understand the numbers

To begin, recognize the two numbers we are comparing: - The first number is -1 - The second number is 0

- Determine the ordering of the numbers

Understand that on a number line, numbers to the left are less than numbers to the right. In this case, -1 is to the left of 0 on a standard number line.

- Fill in the blank with the correct symbol

Since -1 is to the left of 0, we can say that -1 < 0.

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Key Concepts

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

number line

A number line is a visual representation of numbers placed in order on a straight line. It helps us understand the position and relationship of numbers. On a standard number line:

Numbers increase as you move from left to right. For example, -3, -2, -1, 0, 1, 2, 3.
Numbers to the left are smaller, and numbers to the right are larger.

To compare integers such as -1 and 0, locate them on the number line. Notice that -1 is to the left of 0. This tells us that -1 is less than 0.

negative numbers

Negative numbers are numbers that are less than zero. They are usually written with a minus sign (-) in front of them. These numbers are used to represent values below zero, such as temperatures or debts. On a number line:

Negative numbers are always to the left of zero.
As you move left, the value of negative numbers decreases. For example, -1 is greater than -2.

Understanding negative numbers helps in comparing values. For instance, since -1 is closer to zero than -2, -1 is greater than -2.

inequality symbols

Inequality symbols are used to compare the sizes of two values. The main symbols are:

< (less than)
> (greater than)

When comparing numbers, the inequality symbol points to the smaller number. For example:
To write -1 is less than 0, use the symbol < as in -1 < 0.
To write 3 is greater than -2, use the symbol > as in 3 > -2.
Using these symbols correctly helps in expressing the relationships between numbers clearly.

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91影视

Fill in the blank with \(<\) or \(>\) to make a true statement. $$-1 \square 0$$

Short Answer

Step by step solution

- Understand the numbers

- Determine the ordering of the numbers

- Fill in the blank with the correct symbol

Key Concepts

number line

negative numbers

inequality symbols

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