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

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


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.

Related Concept

● Formation of Numbers.

● Finding Out the Numbers

● Names of the Numbers.

● Numbers Showing on Spike Abacus.

● 1 Digit Number on Spike Abacus.

● 2 Digits Number on Spike Abacus.

● 3 Digits Number on Spike Abacus.

● 4 Digits Number on Spike Abacus.

● 5 Digits Number on Spike Abacus.

● Large Number.

● Place Value Chart.

● Place Value.

● Problems Related to Place Value.

● Expanded form of a Number.

● Standard Form.

● Comparison of Numbers.

● Example on Comparison of Numbers.

● Successor and Predecessor of a Whole Number.

● Arranging Numbers.

● Formation of Numbers with the Given Digits.

● Formation of Greatest and Smallest Numbers.

● Examples on the Formation of Greatest and the Smallest Number.

● Rounding off Numbers.

From Problems Related to Place Value to HOME PAGE