What is Division (āĻšā§°āĻŖ āĻāĻŋ ?) ? : Basic Questions ( āĻŽā§āĻ˛āĻŋāĻ āĻĒā§ā§°āĻļā§āĻ¨āĻ¸āĻŽā§āĻš )
What is Division ? (āĻšā§°āĻŖ āĻāĻŋ ?)
Division is the process of splitting a number into equal parts. It is represented by the symbol ÷ or /. (āĻāĻžāĻ āĻšā§āĻā§ āĻā§āĻ¨ā§ āĻāĻāĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻ āĻāĻ¨ āĻāĻāĻž āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻ¸āĻšāĻžāĻ¯āĻŧāĻ¤ āĻ¸āĻŽāĻžāĻ¨ āĻāĻžāĻāĻ¤ āĻŦāĻŋāĻāĻā§āĻ¤ āĻā§°āĻžā§° āĻĒā§ā§°āĻā§ā§°āĻŋāĻ¯āĻŧāĻžāĨ¤ āĻāĻ¯āĻŧāĻžāĻ ÷ āĻŦāĻž / āĻāĻŋāĻšā§āĻ¨ā§°ā§ āĻĒā§ā§°āĻāĻžāĻļ āĻā§°āĻž āĻšāĻ¯āĻŧāĨ¤)
Example / āĻāĻĻāĻžāĻšā§°āĻŖ: 12 ÷ 3 = 4 (12-āĻ 3-ā§°ā§ āĻšā§°āĻŖ āĻā§°āĻŋāĻ˛ā§ 4 āĻĒā§ā§ąāĻž āĻ¯āĻžāĻ¯āĻŧāĨ¤)
(āĻ
ā§°ā§āĻĨāĻžā§ 12-āĻ 3āĻāĻž āĻ¸āĻŽāĻžāĻ¨ āĻāĻžāĻāĻ¤ āĻāĻžāĻ āĻā§°āĻŋāĻ˛ā§ āĻĒā§ā§°āĻ¤āĻŋāĻā§ āĻāĻžāĻāĻ¤ 4 āĻĨāĻžāĻā§āĨ¤)
Parts of Division (ā¤ā¤žā¤ ā¤āĨ ā¤ā¤žā¤ / āĻšā§°āĻŖā§° āĻ āĻāĻļāĻ¸āĻŽā§āĻš)
1. Dividend (ā¤ā¤žā¤āĨā¤¯ / āĻāĻžāĻā§āĻ¯)
Meaning: The number to be divided. āĻ ā§°ā§āĻĨ: āĻ¯āĻŋ āĻ¸āĻāĻā§āĻ¯āĻžāĻ āĻāĻžāĻ (āĻšā§°āĻŖ) āĻā§°āĻž āĻšāĻ¯āĻŧāĨ¤
Ex: 24 ÷ 6 = 4, Here, 24 is the Dividend (āĻāĻžāĻā§āĻ¯).
2. Divisor (ā¤ā¤žā¤ā¤ / āĻāĻžāĻāĻ)
Meaning: The number by which we divide. āĻ ā§°ā§āĻĨ: āĻ¯āĻŋ āĻ¸āĻāĻā§āĻ¯āĻžā§°ā§ āĻāĻžāĻ (āĻšā§°āĻŖ) āĻā§°āĻž āĻšāĻ¯āĻŧāĨ¤
Ex: 24 ÷ 6 = 4, Here, 6 is the Divisor (āĻāĻžāĻāĻ).
3. Quotient (ā¤ā¤žā¤ā¤Ģā¤˛ / āĻāĻžāĻāĻĢāĻ˛)
Meaning: The result obtained after division. āĻ ā§°ā§āĻĨ: āĻšā§°āĻŖ āĻā§°āĻžā§° āĻĒāĻŋāĻāĻ¤ āĻĒā§ā§ąāĻž āĻĢāĻ˛āĻ āĻāĻžāĻāĻĢāĻ˛ āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤
Ex: 24 ÷ 6 = 4, Here, 4 is the Quotient (āĻāĻžāĻāĻĢāĻ˛).
4. Remainder (ā¤ļāĨā¤ˇā¤Ģā¤˛ / āĻ ā§ąāĻļāĻŋāĻˇā§āĻ)
Meaning: The number left after division. āĻ ā§°ā§āĻĨ: āĻšā§°āĻŖ āĻā§°āĻžā§° āĻĒāĻŋāĻāĻ¤ āĻŦāĻžāĻā§ āĻĨāĻāĻž āĻ¸āĻāĻā§āĻ¯āĻžāĻ āĻ ā§ąāĻļāĻŋāĻˇā§āĻ āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤
Ex: 25 ÷ 6 = 4 R 1, Here, 1 is the Remainder (āĻ ā§ąāĻļāĻŋāĻˇā§āĻ).
1. i. How many times does 6 go into 9 ? (9-āĻ¤ 6 āĻāĻŋāĻŽāĻžāĻ¨āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧ ?) Ans: 1 time (6 × 1 = 6) āĻāĻ¤ā§āĻ¤ā§°: 1 āĻŦāĻžā§° (6 × 1 = 6), Remainder:āĻ ā§ąāĻļāĻŋāĻˇā§āĻ: 3
ii. How many times does 6 go into 31 ? (31-āĻ¤ 6 āĻāĻŋāĻŽāĻžāĻ¨āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧ ?) Ans: 5 times (6 × 5 = 30) āĻāĻ¤ā§āĻ¤ā§°: 5 āĻŦāĻžā§° (6 × 5 = 30), Remainder:āĻ ā§ąāĻļāĻŋāĻˇā§āĻ: 1
iii. How many times does 6 go into 18 ? (18-āĻ¤ 6 āĻāĻŋāĻŽāĻžāĻ¨āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧ ?) Ans: 3 times (6 × 3 = 18) āĻāĻ¤ā§āĻ¤ā§°: 3 āĻŦāĻžā§° (6 × 3 = 18), Remainder: 0 āĻ ā§ąāĻļāĻŋāĻˇā§āĻ: 0
2. i. How many times does 4 fit into 8 ? 8-ā§° āĻāĻŋāĻ¤ā§°āĻ¤ 4 āĻāĻŋāĻŽāĻžāĻ¨āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧ ? Ans: 4 fits 2 times. [4 × 2 = 8) (4-āĻ 2 āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧāĨ¤ (4 × 2 = 8)]
Remainder:āĻ ā§ąāĻļāĻŋāĻˇā§āĻ: 0
ii. How many times does 4 fit into 6 ? 6-ā§° āĻāĻŋāĻ¤ā§°āĻ¤ 4 āĻāĻŋāĻŽāĻžāĻ¨āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧ ? Ans: 4 fits 1 time. (4 × 1 = 4) [4-āĻ 1 āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧāĨ¤ (4 × 1 = 4)], Remainder:āĻ ā§ąāĻļāĻŋāĻˇā§āĻ: 6 − 4 = 2
iii. How many times does 4 fit into 24 ? 24-ā§° āĻāĻŋāĻ¤ā§°āĻ¤ 4 āĻāĻŋāĻŽāĻžāĻ¨āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧ ? Ans: 4 fits 6 times.(4 × 6 = 24) [4-āĻ 6 āĻŦāĻžā§° āĻ¸ā§āĻŽāĻžāĻ¯āĻŧāĨ¤ (4 × 6 = 24). Remainder:āĻ ā§ąāĻļāĻŋāĻˇā§āĻ: 0