Question

order integers

question

drag the numbers below to put them in order from least to greatest:

\\(-9\\) \\(0\\) \\(3\\) \\(-4\\) \\(6\\) \\(-10\\)

Explanation:

🆕 New Concept Discovered: Ordering Integers
Positioning positive and negative values on a number line

Step 1: Understand negative numbers

Negative numbers represent values below zero. On a number line, the further a negative number is from zero, the smaller its value is.

Comparing our negative numbers:

• \(-10\) is the furthest left from zero, making it the smallest.
• \(-9\) is next.
• \(-4\) is the closest to zero among the negative numbers.

So, the negative numbers ordered from least to greatest are:

$$ -10, -9, -4 $$

Step 2: Place zero and positive numbers

Zero acts as the middle point between negative and positive numbers. Positive numbers are greater than zero and increase in value as they move further to the right.

Comparing our remaining numbers:

• \(0\) comes after the negative numbers.
• \(3\) is the smaller positive number.
• \(6\) is the largest positive number.

So, the remaining numbers ordered from least to greatest are:

$$ 0, 3, 6 $$

Step 3: Combine the ordered lists

Combining the ordered negative numbers, zero, and positive numbers gives the complete sequence from least to greatest:

$$ -10, -9, -4, 0, 3, 6 $$

Answer:

-10, -9, -4, 0, 3, 6