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Integers

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Hello Math Explorer! Get ready for an exciting adventure.

Each topic has fun activities and games to help you learn. Complete all sections to learn well!

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Math Adventure Complete! 🎉

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Integer Learning Game

Why Do We Need Negative Numbers?

Let's discover why negative numbers exist through weather!

Temperature is the perfect way to understand positive, negative, and zero!

+25°C
Hot Weather
When temperature is above freezing, it's positive!
"25°C above freezing" = +25
Perfect for swimming! 🌞
0°C
Freezing Point
When water starts to freeze, it's zero!
"Exactly freezing" = 0
Ice begins to form! ❄️
-10°C
Cold Weather
When temperature is below freezing, it's negative!
"10°C below freezing" = -10
Very cold winter day! 🥶

Experience Integers on Number Line

The number line is like a thermometer! Zero is freezing point, positive is hot, negative is cold!

Tap each example below to see what it looks like on the number line!

Interactive Temperature Number Line

-5
-4
-3
-2
-1
0
+1
+2
+3
+4
+5
🌡️
← COLD (Below Freezing)
HOT (Above Freezing) →

Learning Comparators: Understanding >, =, <

Let's learn how to compare numbers using the comparison operators!

Important: When the weighing machine is lower, it means the number is greater!

>
Greater Than
The > symbol means "greater than"
Example: 5 > 3
The left number is bigger than the right
=
Equal To
The = symbol means "equal to"
Example: 4 = 4
Both numbers have the same value
<
Less Than
The < symbol means "less than"
Example: 2 < 7
The left number is smaller than the right

Visual Comparison on Number Line

Tap each example below to see what it looks like on the number line!

-5
-4
-3
-2
-1
0
+1
+2
+3
+4
+5
A
B
← SMALLER NUMBERS
LARGER NUMBERS →

Compare numbers using the weighing scale! Add fruits to represent numbers and choose the correct comparison operator.

Remember: When the weighing machine is lower, it means the number is greater!

Score: 0
Compare the Numbers
0
?
0
<
=
>

Associative Property - Addition

Let us add the first two terms.
Let us evaluate [(-24) + (-11)]
[(-24) + (-11)] + (-1)
1
2
3
Step 1: Solve the bracket
[(-24) + (-11)] =
Step-by-step: Since both numbers are negative [(-24) and (-11)], ignore the signs first and add the numbers: 24 + 11. Then, put the negative sign (-) back on the result.
Let us evaluate [(-11) + (-1)]
(-24) + [(-11) + (-1)]
1
2
3
Step 1: Solve the bracket
[(-11) + (-1)] =
Add the magnitudes: 11 + 1 = 12. Both numbers are negative, so the result is -12.

Associative Property - Subtraction

Is [(-1) - (-14)] - 9 = (-1) - [(-14) - 9]
Let us subtract and see what happens.
Let us evaluate [(-1) - (-14)]
[(-1) - (-14)] - 9
1
2
3
Step 1: Solve the bracket
[(-1) - (-14)] =
Remember: Subtracting a negative is the same as adding a positive.
-1 - (-14) = -1 + 14 = 13
Let us evaluate [(-14) - 9]
(-1) - [(-14) - 9]
1
2
3
Step 1: Solve the bracket
[(-14) - 9] =
-14 - 9 = -(14 + 9) = -23

Building Explorer Guide

  • Ground Floor (0): Starting point - neither up nor down
  • Positive Floors (+1, +2, +3...): Above ground - offices, cafeteria, CEO floor
  • Negative Floors (-1, -2, -3...): Below ground - parking, storage, basement

Understanding Movement:

  • Going UP: Adds positive numbers to your current floor
  • Going DOWN: Adds negative numbers to your current floor
  • Example: Floor +2, go down 3 = +2 + (-3) = -1

Real Life Connection:

  • Buildings have floors above (positive) and below (negative) ground
  • Elevator numbers work exactly like integers!
  • Zero is always the reference point (ground level)

🎉 Property Proved! 🎉

[(-24) + (-11)] + (-1) = (-24) + [(-11) + (-1)]
=

Changing the grouping of the numbers did not change the final sum. This proves that Addition is Associative!