Properties of division

key notes:

🌟 Properties of Division ➗

Division is not commutative ❌🔄

Unlike addition and multiplication, you cannot swap the numbers.

Example: 12÷3=4 ✅ but 3÷12=0.25 ❌

Division is not associative ❌🔗

You cannot group numbers differently to make it easier.

Example: (12÷3)÷2=2 ✅ but 12÷(3÷2)=8 ❌

Division by 1 ➗1️⃣

Any number divided by 1 is the same number.

Example: 7÷1=7 ✅

Division by itself ➗✖️

Any number divided by itself is 1 (except 0).

Example: 9÷9=1 ✅

Division by 0 is undefined 🚫0️⃣

You cannot divide a number by 0.

Example: 5÷0=?❌

Zero divided by a number 0️⃣➗

Zero divided by any number is 0.

Example: 0÷5=0 ✅

Division distributes over addition/subtraction ➗➕➖

You can divide a sum or difference by a number.

Example: (12+6)÷3 = 18÷3=6 ✅

Also: 12÷3+6÷3 = 4+2=6✅

Checking with multiplication 🔁✖️

Division can be checked using multiplication.

Example: 12÷4=3 ✅ because 3×4=12 ✅

Learn with an example

let’s practice: