Problems Related to Place Value

Worked-out problems related to place value of digits in a numeral.


Examples on place value: 

1. Find the difference between the place value and face value of digit 6 in the numeral 2960543. 

Solution: 

Place value of digit 6 in 2960543 = 60000 

Face value of digit 6 in 2960543 = 6 

Their difference = 60000 - 6 = 59994 

2. Find the product of the place values of two 4s in the numeral 30426451. 

Solution: 

The place value of 4 in hundreds place = 400 

The place value of 4 in hundred thousand place = 400000 

Their product = 400000 × 400 = 160000000.

Problems Related to Place Value

3. Write the smallest 5-digit number:

(a) having 5 different digits

(b) having 8 in thousands place

(c) having 9 in ones place

Solution:

(a) The smallest 5 different digits are 0, 1, 2, 3, 4

Therefore, the smallest 5-digit number having 5-different digits 10234

(b) The smallest 5-digit number having 8 in thousands place is 18023.

(c) The smallest 5-digit number having 9 in ones place is 10239.



4. Write the largest 4-digit number:

(a) having 4-different digits

(b) having 3 in tens place

(c) having 5 in hundreds place

Solution:

(a) The largest 4-different digits are 9, 8, 7, 6.

Therefore, the largest 4-digit number having 4 different digits = 9876

(b) The largest 4-digit number having 3 in tens place = 9837

(c) The largest 4-digit number having 5 in hundreds place = 9587


5. Form a number with:

                         3 at ten thousands place

                         5 at lakhs place

                         7 at thousands place

                         9 at ones place

                         1 at hundreds place

                         9 at tens place.

Solution:

The number is 5,37,199.


6. Form a number with:

                         7 at crores place, 8 at ten-thousands place

                         3 at lakhs place, 4 at ten-lakhs place

                         7 at hundreds place, 9 at ones place

                         1 at thousands place, 0 at tens place

Solution:

The number is 7,43,81,709.



         Each digit has a value depending on its place called the place value of the digit are explained and shown above in the problems related to place value using step-by-step explanation.

You might like these

Related Concept 






4th Grade Math Activities

From Problems Related to Place Value to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.