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Course: 6th grade (Illustrative Mathematics)>Unit 7

Lesson 3: Lesson 3: Comparing positive and negative numbers

Ordering negative numbers

Extend the idea of greater than and less than to negative numbers!
We already know that numbers farther to the right on the number line are greater for positive numbers.
For example, $5$ is greater than $2$ because $5$ is farther to the right than $2$ on the number line:
Key idea: The fact that numbers farther to the right on the number line are greater, is true for both positive and negative numbers.
For example, $-2$ is greater than $-5$ because $-2$ is farther to the right than $-5$ on the number line:

Let's Practice!

Problem 1A
True/False: $1$ is greater than $4$.

Want to join the conversation?

• why is the -3 more than the -9
• Think of it as money. You owe 3 dollars so instead of 3 it is now -3. The more you owe the more it decreases in value. Therefor, -3 is more than -9.
• what is 'Order the following numbers from least to greatest.'question mean i do mistake on it
• It means you need to arrange the numbers that they give you from least to greatest. E.g. -20, 10, -54, -77, 67. The order would be -77, -54, -20, 10, 67. Hope this helped :)
• so the more left the number is on the number line the smaller it is and the more right it goes the more bigger it gets
• Technically, but it's the value of the number. For example -5 and -1 on a number line -5 would be towards the left and -1 would be towards the right. Since -1 is right of -5, -1 > -5.
• so far this website has been awesome for me comment below guys baiiii and i dont see anything confusing it helps you when you get stuff wrong i like how they also let you do the pratice test again
• How can you make a negative number?
• IF A NUMBER IS POSITIVE:-
a) By putting minus sign before the number.
<Example>
2 = -2
Adding a minus sign before positive 2 makes it negative 2(that is -2).
OR
b)Subtracting double of it from it.
<Example>
2 - (2 x 2)
= 2 - 4
= -2
Subtracting double of 2(that is 4) from positive 2 makes it negative 2(that is -2).
IF A NUMBER IS NEGATIVE:-
There is no need to do this.
a)By putting minus sign before the number.
<Example>
-2
= -(-2)
= 2
Adding a minus sign before negative 2(that is -2) makes it positive 2.
OR
b)Subtracting double of it from it.
<Example>
-2 - (-2 x 2)
= -2 - (-4)
= -2 + 4
= -2
Subtracting double of -2(that is -4) from negative 2(that is -2) makes it positive 2.

• Place the strawberries, banana, honey, orange juice, and ice into a blender. Pulse a few times, then puree until it is the desired texture.
Pour into glasses and serve.
• what is algera ?
• Algebra is math, but with numbers. For example, in 5+x=10, x would be 5 because 5+5=10
• how came the numbers on the number line is true and the other numbers are false why is that
• All the numbers are somewhere on the number line. You need to look at their relationship to each other to determine whether a statement is true/false.
2 is less than 5: True. The 2 is to the left of 5 which means it is smaller than 5
-3 is less than -5: False The -3 is to the right of -5 which means it is a larger (less negative) number.

Hope this helps. If not please be more specific with your question.
• this is not a question but i learned this pretty well and i under stand it.