What is Place Value ? :: āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ āĻāĻŋ ?
What is Place Value ? āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ āĻāĻŋ ? :: Place Value: Tens and Ones : Click Here
Place value tells us the value of a digit based on its position in a number. In a number, each digit has a place like ones, tens, hundreds, etc. The position of the digit decides its value.
Example: In 34, 3 is in the tens place, so its value is 30 . 4 is in the ones place, so its value is 4
āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ āĻŽāĻžāύ⧠āĻāĻāĻž āϏāĻāĻā§āϝāĻžāϤ āĻĨāĻāĻž āĻ āĻāĻāĻā§ā§° āϏā§āĻĨāĻžāύ āĻ āύā§āϏāĻžā§°ā§ āϤāĻžā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤ āϏāĻāĻā§āϝāĻžāϤ āĻ āĻāĻāĻŦā§ā§°ā§ āĻāĻāĻ, āĻĻāĻšāĻ, āĻļāϤāĻ āĻāĻĻāĻŋ āϏā§āĻĨāĻžāύ āĻĻāĻāϞ āĻā§°ā§āĨ¤ āĻ āĻāĻāĻā§ā§° āϏā§āĻĨāĻžāύā§āĻ āϤāĻžā§° āĻŽā§āϞā§āϝ āύāĻŋā§°ā§āϧāĻžā§°āĻŖ āĻā§°ā§āĨ¤
āĻāĻĻāĻžāĻšā§°āĻŖ: 34 āϏāĻāĻā§āϝāĻžāϤ, 3 āĻĻāĻšāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§, āϏā§āϝāĻŧā§ āϤāĻžā§° āĻŽā§āϞā§āϝ 30, 4 āĻāĻāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§, āϏā§āϝāĻŧā§ āϤāĻžā§° āĻŽā§āϞā§āϝ 4
Remember / āĻŽāύāϤ ā§°āĻžāĻāĻŋāĻŦāĻž : Same digit, different place → different value. āĻāĻā§ āĻ āĻāĻ, āĻŦā§āϞā§āĻ āϏā§āĻĨāĻžāύ → āĻŦā§āϞā§āĻ āĻŽā§āϞā§āϝ
All Place Values :: āϏāĻāϞ⧠āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ
- Ones (āĻāĻāĻ): Value is 1 . Ex: In 25, 5 is in ones place → value = 5. 25 āϤ 5 āĻāĻāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 5
- Tens (āĻĻāĻšāĻ): Value is 10, Ex: In 34, 3 is in tens place → value = 30, 34 āϤ 3 āĻĻāĻšāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 30
- Hundreds (āĻļāϤāĻ): Value is 100, Ex: In 456, 4 is in hundreds place → value = 400, 456 āϤ 4 āĻļāϤāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 400
- Thousands (āϏāĻšāϏā§ā§°): Value is 1,000, Ex: In 3,245, 3 is in thousands place → value = 3,000, 3,245 āϤ 3 āϏāĻšāϏā§ā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 3,000
- Ten Thousands (āĻĻāĻš āϏāĻšāϏā§ā§°): Value is 10,000, Ex: In 45,678, 4 is in ten thousands place → value = 40,000, 45,678 āϤ 4 āĻĻāĻš āϏāĻšāϏā§ā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 40,000
- Lakhs (āϞāĻā§āώ): Value is 1,00,000, Ex: In 2,35,000, 2 is in lakh place → value = 2,00,000. 2,35,000 āϤ 2 āϞāĻā§āώ āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 2,00,000
- Crores (āĻā§āĻāĻŋ): Value is 1,00,00,000 , Ex: In 5,20,00,000, 5 is in crore place → value = 5,00,00,000. 5,20,00,000 āϤ 5 āĻā§āĻāĻŋ āϏā§āĻĨāĻžāύāϤ āĻāĻā§ → āĻŽā§āϞā§āϝ = 5,00,00,000
MCQs: Place Value (Tens and Ones) : āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ: āĻĻāĻšāĻ āĻā§°ā§ āĻāĻāĻ
1) What is the value of 5 in 58 ? 58 āϏāĻāĻā§āϝāĻžāϤ 5 ā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ ?
a) 5 b) 50 c) 8 d) 58
Ans: b) 50
Explanation: 5 is in the tens place. So its value is 5 × 10 = 50. āĻŦā§āϝāĻžāĻā§āϝāĻž: 5 āĻ āĻāĻāĻā§ āĻĻāĻšāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§ 5 × 10 = 50āĨ¤
Place Value: Tens and Ones : Click Here
2) Which digit is in the ones place in 64 ? 64 āϏāĻāĻā§āϝāĻžāϤ āĻāĻāĻā§° āϏā§āĻĨāĻžāύāϤ āĻā§āύāĻā§ āĻ āĻāĻ āĻāĻā§ ?
a) 6 b) 4 c) 0 d) 64
Ans: b) 4
Explanation:The right-side digit shows ones. In 64, the right digit is 4.āĻŦā§āϝāĻžāĻā§āϝāĻž: āϏā§āĻāĻĢāĻžāϞ⧠āĻĨāĻāĻž āĻ āĻāĻāĻā§ āĻāĻāĻ āĻŦā§āĻāĻžāϝāĻŧāĨ¤ 64 āϤ āϏā§āĻāĻĢāĻžāϞ⧰ āĻ āĻāĻāĻā§ 4āĨ¤
3) 4 tens and 1 one = ? 4 āĻĻāĻšāĻ āĻā§°ā§ 1 āĻāĻāĻ = ?
a) 14 b) 40 c) 41 d) 51
Ans: c) 41
Explanation: 4 tens = 40 and 1 one = 1 → 40 + 1 = 41. āĻŦā§āϝāĻžāĻā§āϝāĻž: 4 āĻĻāĻšāĻ = 40 āĻā§°ā§ 1 āĻāĻāĻ = 1 → 40 + 1 = 41āĨ¤
4) What is the value of 9 in 19 ? 19 āϏāĻāĻā§āϝāĻžāϤ 9 ā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ ?
a) 90 b) 9 c) 19 d) 10
Ans: b) 9
Explanation: 9 is in the ones place, so its value is 9. āĻŦā§āϝāĻžāĻā§āϝāĻž: 9 āĻ āĻāĻāĻā§ āĻāĻāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§ āĻāϝāĻŧāĻžā§° āĻŽā§āϞā§āϝ 9āĨ¤
5) Which number has 7 tens and 0 ones ? āĻā§āύāĻā§ āϏāĻāĻā§āϝāĻžāϤ 7 āĻĻāĻšāĻ āĻā§°ā§ 0 āĻāĻāĻ āĻāĻā§ ?
a) 7 b) 70 c) 17 d) 700
Ans: b) 70
Explanation: 7 tens = 70 and 0 ones = 0 → total = 70. āĻŦā§āϝāĻžāĻā§āϝāĻž: 7 āĻĻāĻšāĻ = 70 āĻā§°ā§ 0 āĻāĻāĻ = 0 → āĻŽā§āĻ = 70āĨ¤
6) What is the value of 6 in 64 ? 64 āϏāĻāĻā§āϝāĻžāϤ 6 ā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ ?
a) 6 b) 60 c) 64 d) 4
Ans: b) 60
Explanation: In 64, the digit 6 is in the tens place. So, its value = 6 × 10 = 60. āĻŦā§āϝāĻžāĻā§āϝāĻž: 64 āϏāĻāĻā§āϝāĻžāϤ 6 āĻĻāĻšāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§ āϤāĻžā§° āĻŽā§āϞā§āϝ = 6 × 10 = 60āĨ¤
7) Which digit is in the hundreds place in 742? 742 āϏāĻāĻā§āϝāĻžāϤ āĻļāϤāĻā§° āϏā§āĻĨāĻžāύāϤ āĻā§āύāĻā§ āĻ āĻāĻ āĻāĻā§ ?
a) 7 b) 4 c) 2 d) 74
Ans: b) 4
Explanation: In a 3-digit number, the hundreds place is the third digit from the right. In 742, the hundreds digit is 4. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϤāĻŋāύ āĻ āĻāĻā§° āϏāĻāĻā§āϝāĻžāϤ āϏā§āĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āϤā§āϤā§āϝāĻŧāĻā§ āĻ āĻāĻ āĻļāϤāĻā§° āϏā§āĻĨāĻžāύāĨ¤ 742 āϤ āϏā§āĻ āĻ āĻāĻāĻā§ 4āĨ¤
8) What is the value of 9 in 905 ? 905 āϏāĻāĻā§āϝāĻžāϤ 9 ā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ ?
a) 9 b) 90 c) 900 d) 905
Ans: c) 900
Explanation: In 905, the digit 9 is in the hundreds place. So, its value = 9 × 100 = 900. āĻŦā§āϝāĻžāĻā§āϝāĻž: 905 āϏāĻāĻā§āϝāĻžāϤ 9 āĻļāϤāĻā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§ āϤāĻžā§° āĻŽā§āϞā§āϝ = 9 × 100 = 900āĨ¤
Place Value: Tens and Ones : Click Here
9) Which number shows 3 thousands ? āĻā§āύāĻā§ āϏāĻāĻā§āϝāĻžāĻ 3 āϏāĻšāϏā§ā§° āĻŦā§āĻāĻžāϝāĻŧ ?
a) 300 b) 3,000 c) 30,000 d) 3000
Ans: b) 3,000
Explanation: 3 thousands means 3 × 1,000 = 3,000. āĻŦā§āϝāĻžāĻā§āϝāĻž: 3 āϏāĻšāϏā§ā§° āĻŽāĻžāύ⧠3 × 1,000 = 3,000āĨ¤
10) What is the value of 5 in 45,672 ? 45,672 āϏāĻāĻā§āϝāĻžāϤ 5 ā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ ?
a) 5,000 b) 50,000 c) 500 d) 5
Ans: b) 50,000
Explanation: In 45,672, the digit 5 is in the ten-thousands place. So, its value = 5 × 10,000 = 50,000. āĻŦā§āϝāĻžāĻā§āϝāĻž: 45,672 āϏāĻāĻā§āϝāĻžāϤ 5 āĻĻāĻš āϏāĻšāϏā§ā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§ āϤāĻžā§° āĻŽā§āϞā§āϝ = 5 × 10,000 = 50,000āĨ¤
11) Which digit is in the ten thousands place in 68,245 ? 68,245 āϏāĻāĻā§āϝāĻžāϤ āĻĻāĻš āϏāĻšāϏā§ā§°ā§° āϏā§āĻĨāĻžāύāϤ āĻā§āύāĻā§ āĻ āĻāĻ āĻāĻā§ ?
a) 6 b) 8 c) 2 d) 4
Ans: b) 8
Explanation: In a 5-digit number, the ten-thousands place is the second digit from the left. In 68,245, that digit is 8. āĻŦā§āϝāĻžāĻā§āϝāĻž: ā§Ģ āĻ āĻāĻā§° āϏāĻāĻā§āϝāĻžāϤ āĻŦāĻžāĻāĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āĻĻā§āĻŦāĻŋāϤā§āϝāĻŧāĻā§ āĻ āĻāĻ āĻĻāĻš āϏāĻšāϏā§ā§°āĨ¤ 68,245 āϤ āϏā§āĻ āĻ āĻāĻāĻā§ 8āĨ¤
12) What is the value of 2 in 2,34,567 ? 2,34,567 āϏāĻāĻā§āϝāĻžāϤ 2 ā§° āĻŽā§āϞā§āϝ āĻāĻŋāĻŽāĻžāύ ?
a) 2 b) 20 c) 2,000 d) 2,00,000
Ans: d) 2,00,000
Explanation: In 2,34,567, the digit 2 is in the lakh place. So, its value = 2 × 1,00,000 = 2,00,000. āĻŦā§āϝāĻžāĻā§āϝāĻž: 2,34,567 āϏāĻāĻā§āϝāĻžāϤ 2 āϞāĻā§āώ⧰ āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§ āϤāĻžā§° āĻŽā§āϞā§āϝ = 2 × 1,00,000 = 2,00,000āĨ¤
13) Which number has 7 tens and 4 ones ? āĻā§āύāĻā§ āϏāĻāĻā§āϝāĻžāϤ 7 āĻĻāĻšāĻ āĻā§°ā§ 4 āĻāĻāĻ āĻāĻā§ ?
a) 47 b) 74 c) 704 d) 740
Ans: b) 74
Explanation: 7 tens = 70 and 4 ones = 4. 70 + 4 = 74. āĻŦā§āϝāĻžāĻā§āϝāĻž: 7 āĻĻāĻšāĻ = 70 āĻā§°ā§ 4 āĻāĻāĻ = 4āĨ¤ 70 + 4 = 74āĨ¤
Final Memory Rule / āĻŽāύāϤ ā§°āĻžāĻāĻŋāĻŦāĻž : Value = Digit × Place // āϏā§āĻĨāĻžāύāĻŽā§āϞā§āϝ = āĻ āĻāĻ × āϏā§āĻĨāĻžāύ
Place Value: Tens and Ones : Click Here