rules for division of integers |

rules for division of integers |#maths |#mathpuzzles |#mathtricks |mathematics vedios |#mathgames
[17/09, 1:12 pm] Meta AI: Rules for Division of Integers:
Sign Rules:
1. Same signs: (+ ÷ +) = +, (- ÷ -) = +
Example: 12 ÷ 4 = 3, -12 ÷ -4 = 3
2. Different signs: (+ ÷ ) = -, ( ÷ +) = -
Example: 12 ÷ -4 = -3, -12 ÷ 4 = -3
Division by Zero:
1. Division by zero is undefined.
Example: 12 ÷ 0 = undefined
Division by 1:
1. Any number divided by 1 is itself.
Example: 12 ÷ 1 = 12
Division of Zero:
1. Zero divided by any number is zero.
Example: 0 ÷ 12 = 0
Integer Division Rules:
1. Division of integers results in a quotient and remainder.
Example: 17 ÷ 5 = 3 remainder 2
2. Division of negative integers:
Change signs, divide, then change sign back.
Example: -17 ÷ 5 = -(17 ÷ 5) = -3 remainder -2
Properties of Division:
1. Inverse property: a ÷ (a/b) = b
Example: 12 ÷ (12/4) = 4
2. Distributive property: a ÷ (b+c) = a/b + a/c (only for some cases)
Example: 12 ÷ (4+2) ≠ 12/4 + 12/2 (but 12/6 + 12/3 = 2+4 = 6)
Remainder Theorem:
1. If a = bq + r, then a ÷ b = q remainder r.
Example: 17 = 5(3) + 2, 17 ÷ 5 = 3 remainder 2
Understanding these rules helps simplify calculations, solve problems, and build a strong foundation in mathematics.
Additional Tips:
Use mental math or estimation to check division calculations.
Division is inverse operation of multiplication.
Practice dividing integers to become proficient.
[17/09, 1:12 pm] Meta AI: Rules for Division of Integers:
Sign Rules:
1. Same signs: (+ ÷ +) = +, (- ÷ -) = +
Example: 12 ÷ 4 = 3, -12 ÷ -4 = 3
2. Different signs: (+ ÷ ) = -, ( ÷ +) = -
Example: 12 ÷ -4 = -3, -12 ÷ 4 = -3
Division by Zero:
1. Division by zero is undefined.
Example: 12 ÷ 0 = undefined
Division by 1:
1. Any number divided by 1 is itself.
Example: 12 ÷ 1 = 12
Division of Zero:
1. Zero divided by any number is zero.
Example: 0 ÷ 12 = 0
Integer Division Rules:
1. Division of integers results in a quotient and remainder.
Example: 17 ÷ 5 = 3 remainder
2. Division of negative integers:
Change signs, divide, then change sign back.
Example: -17 ÷ 5 = -(17 ÷ 5) = -3 remainder -2
Properties of Division:
1. Inverse property: a ÷ (a/b)