Place Value Questions

Place value questions with solutions are provided here for students to practice and enhance their skills. The place value of a digit in a number represents the position or place of that digit. For example, the place value of 2 in 726 is the tens place. Knowledge of place values will help kids to write numbers in words in both Indian and international systems.

Place value charts in Indian and International systems of numerals:

Place Value Chart According to Indian System

Crore

Lakhs

Thousands

Ones

Ten-Crore

(TC)

10,00,00,000

Crore

(C)

1,00,00,000

Ten-Lakhs

(TL)

10,00,000

Lakhs

(L)

1,00,000

Ten Thousands

(TTh)

10,000

Thousands

(Th)

1000

Hundreds

(H)

100

Tens

(T)

10

Ones

(O)

1

Place Value Chart According to International System

Millions

Thousands

Ones

Hundred-millions

(HM)

100,000,000

Ten-millions

(TM)

10,000,000

Millions

(M)

1,000,000

Hundred-Thousands

(HTTh)

100,000

Ten-Thousands

(TTh)

10,000

Thousands

(Th)

1000

Hundreds

(H)

100

Tens

(T)

10

Ones

(O)

1

Learn more about Place Values.

Place Value Questions with Solution

Identifying the place value of a digit within a given number are taught to students of grades 1 to 5. These questions on place values will help them affirm their concept regarding place values and the numeral system.

Question 1: Find the place value of 5 for the following numbers:

(i) 2500

(ii) 5069

(iii) 7235

(iv) 9050

Solution:

Number

Place Value

Value of the digit

2500

Hundreds

500

5069

Thousands

5000

7235

Ones

5

9050

Tens

50

Question 2: Find the place value of 2 and 7 for the following numbers:

(i) 29975

(ii) 8627

(iii) 28467

(iv)720000

Solution:

Number

Place Value of 2

Value of the digit 2

Place Value of 7

Value of the digit 7

29975

ten thousands

20,000

tens

70

8627

Tens

20

Ones

7

208764

Lakhs/Hundred-thousands

2,00,000 or

200,000

Hundreds

700

720000

Ten thousands

20,000

Lakhs/Hundred-thousands

7,00,000 or

700,000

Questions 3: Fill in the blanks:

(i) 20600 + ____ + 30 + 5 = 28635.

(ii) _____ + ____ + 86 = 4586.

(iii) 4000 + 3 + 400 + ____ = 4443.

(iv) 34589 = _____ + _____ + ____ + ______ +_____.

Solution:

(i) 20600 + 8000 + 30 + 5 = 28635.

(ii) 4000 + 500 + 86 = 4586.

(iii) 4000 + 3 + 400 + 40 = 4443.

(iv) 34589 = 30,000 + 4000 + 500 + 80 + 9 .

Also Read:

Question 4: Identify the number which has 4 in tens place and 8 in thousands place. The digit in ones is half the sum of the digits in tens and thousands, and the digit in hundreds place is six less than the digit in ones place. Find the number.

Solution:

Given, the number has 4 in the tens place and 8 in thousands place.

Th

H

T

O

8

?

4

?

Digit in ones place = (8 + 4) ÷ 2 = 12/2 = 6

Digit in hundreds place = less than the digit in ones place = 6 – 6 = 0

Thus, the number is –

Th

H

T

O

8

0

4

6

Question 5: Write following numbers in the place value chart in both Indian and International system:

(i) 284578

(ii) 912597

(iii) 213709

(iv) 120986

Solution:

Indian System of Numerals

L

TTh

Th

H

T

O

(i)

2

8

4

5

7

8

(ii)

9

1

2

5

9

7

(iii)

2

1

3

7

0

9

(iv)

1

2

0

9

8

6

International System of Numerals

HTh

TTh

Th

H

T

O

(i)

2

8

4

5

7

8

(ii)

9

1

2

5

9

7

(iii)

2

1

3

7

0

9

(iv)

1

2

0

9

8

6

Place Value and Face Value

In a number, place value of a digit is the value of the position of that digit within the given number. For example, the place value of the digit 5 in 19530 is 500.

The face value of any digit in the number is the value of the digit itself. For example, the face value of 5 in 19530 is 5.

Question 6: Find the sum and product of the place value and face value of 6 in the number 86245.

Solution:

Place value of 6 = 6000

Face value of 6 = 6

Then,

6000 + 6 = 6006

6000 × 6 = 36000

Question 7: State ‘true’ or ‘false’ for the following statements:

(i) The place value and face value of any digit in ones place are the same.

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030.

(iii) 300 + 60 + 5 = 356.

(iv) The face value of any digit is either less than or equal to the place value of the digit.

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000.

Solution:

(i) The place value and face value of any digit in ones place are the same. (True)

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030. (False)

(iii) 300 + 60 + 5 = 356. (False)

(iv) The face value of any digit is either less than or equal to the place value of the digit. (True)

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000. (False)

Question 8: Write the following numbers in words according to the Indian system:

(i) 94562

(ii) 129644

(iii) 25456

(v) 30764

Solution:

(i) 94562 – Ninety-four thousand five hundred sixty-two.

(ii) 129644 – One lakh twenty-nine thousand six hundred forty-four.

(iii) 2545600 – Twenty-five lakhs forty-five thousand six hundred.

(v) 30764 – Thirty thousand seven hundred sixty-four.

Question 9: Write the following numbers in words according to the International system:

(i) 34921

(ii) 5720964

(iii) 40972

(iv) 497114

Solution:

(i) 34921 – Thirty-four thousand nine hundred twenty-one

(ii) 5720964 – Five million seven hundred twenty thousand nine hundred sixty-four

(iii) 40972 – Forty thousand nine hundred seventy-two

(iv) 497114 – Four hundred ninety-seven thousand one hundred fourteen

Question 10: Compare the following using ‘>’, ‘<’ or ‘=’:

(i) Place value of 3 in 3245 ____ Place value of 6 in 265

(ii) Places value of 5 in 456 ____ Place value of 2 in 234

(iii) Place value of 7 in 7980 ____ Place value of 5 in 5790

(iv) Place value of 4 in 234 ____ Face value of 9 in 494

Solution:

(i) Place value of 3 in 3245 > Place value of 6 in 265

(ii) Places value of 5 in 456 < Place value of 2 in 234

(iii) Place value of 7 in 7980 > Place value of 5 in 5790

(iv) Place value of 4 in 234 = Face value of 4 in 495

Place Value Chart for decimal numbers

The following place value chart is used represent decimal numbers:

Hundreds

Tens

Ones

.

Tenth

Hundredth

Thousandth

100

10

1

.

1/10

1/100

1/1000

Question 11: Write the following numbers in the place value charts:

(i) 23.45

(ii) 325.006

(iii) 0.976

(iv) 2.987

Solution:

Hundreds

Tens

Ones

.

Tenths

Hundredths

Thousandths

(i)

2

3

.

4

5

(ii)

3

2

5

.

0

0

6

(iii)

0

.

9

7

6

(iv)

2

.

9

8

7

Question 12: Fill in the blanks:

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = _____.

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = ________.

(iii) 0.008 + 1.07 + 0.5 = _______.

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = ______.

Solution:

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = 128.52

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = 2280.11

(iii) 0.008 + 1.07 + 0.5 = 1.578

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = 349.0876

Related Articles:

Numbers to Words Questions

Fractions Questions

HCF Questions

Factors Questions

Practice Questions:

1. Find the place value of 6 for the following numbers:

(i) 26479

(ii) 20764

(iii) 497612

(iv) 9765

2. The digits in the tens and the thousands place of a number are 3 and 9, respectively. The digit in the ones and the ten thousands places are 3 and 4 more than the digit in tens place. If the digit in the hundreds place is three less than the digit in ten thousands place, find the number.

3. Fill in the blanks:

(i) 3000 + 700 + _____ + 8 = 3758.

(ii) 200 + 9050 + 4 = ______.

(iii) 2000 + 0.009 + 12.23 + 300 = _____.

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