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




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.



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.