Are u seeking homework help to solve the problems on place values? If yes, then this guide is the perfect solution. Here, in the below modules, we have wrapped plenty of problems related to place values. But First and foremost, students should have proper knowledge on what is place value and tips that develop place value. Generally, place values are used to represent the group of digits in the correct position in the place value chart. Let’s have a glance at Problems Related to Place Value for quick & easy solving.
What is Place Value?
Place value can be defined as the value followed by a digit in a given number based on its position in the number. Every digit in a number has a place value. The place value of digits has a position itself such as ones, tens, hundreds, thousands, ten thousand, and so on. Every number has a place value and face value. Place value is nothing but the position of a number whereas the face value is the number itself.
If a number has the same digits twice or more but the place value of a digit is different from one another. For instance, if we have the number 25423, here, 2 is repeated twice but the place value of 2 is different i.e., one place value of number 2 is ten thousand (2×10,000) and another place value of a number 2 is tens (2×10).
Let’s represent the digits with place values using a place value chart. It helps the students to know the correct places of a number and each digit that stands for. The following place value table makes it clear to identify the digits quickly.
Place Value Table Using International System
Here is the table to remember & learn easily about the place value of a given number in the international place value system:
Number |
Digits Value |
Place Value |
564,891,627 |
7×1=7 | Ones (O) |
564,891,627 |
2×10=20 | Tens (T) |
564,891,627 | 6×100=600 |
Hundreds (H) |
564,891,627 | 1×1000=1000 |
Thousands (TH) |
564,891,627 |
9×10,000=90,000 | Ten Thousands (T-TH) |
564,891,627 | 8×100,000=800,000 |
Hundred Thousands (H-TH) |
564,891,627 |
4×1,000,000=4,000,000 |
Million (M) |
564,891,627 |
6×10,000,000=60,000,000 |
Ten Million (TM) |
564,891,627 |
5×100,000,000=500,000,000 |
Hundred Million (HM) |
Also Check:
- International Place Value Chart
- Worksheet on International Numbering System
- Worksheet on Indian Numbering System
Place Value Table Using Indian System
Let’s see the same above number in the Indian Place Value system and aware of the difference while solving problems related to place values:
Number | Digits Value | Place Value |
56,48,91,627 | 7×1=7 | Ones (O) |
56,48,91,627 | 2×10=20 | Tens (T) |
56,48,91,627 | 6×100=600 | Hundreds (H) |
56,48,91,627 | 1×1000=1000 | Thousands (TH) |
56,48,91,627 | 9×10,000=90,000 | Ten Thousand (T-TH) |
56,48,91,627 | 8×1,00,000=8,00,000 | Lakhs (L) |
56,48,91,627 | 4×10,00,000=40,00,000 | Ten Lakhs (TL) |
56,48,91,627 | 6×1,00,00,000=6,00,00,000 | Crores (C) |
56,48,91,627 | 5×10,00,00,000=50,00,00,000 | Ten Crores (TC) |
Tips to Solve Place Value Problems
- Take the place values and use blocks to represent them. It helps in reading and writing numbers easily.
- Count the place values by grouping them as 10’s, 100’s, and 1000’s, and so on.
- Practice the place value problems daily to build confidence and to grasp the place values of a number in seconds.
- Place value positions are increased 10 times than the previous place value of a digit.
Problems Related to Place Values
Example 1:
Write the digits in the place value of M, T, H-Th, H for the number 7634562.
Solution:
Take the given number 7634562. Place the digits with place values using commas i.e., 7,634,562.
A number in place value of Tens (T) is 6.
A number in place value of Hundreds (H) is 5.
A number in place value of Hundred thousand (H-Th) is 6.
A number in place value of Million (M) is 7.
Example 2:
Write the place values of highlighted digits of given numbers
(i) 2954623
(ii) 124789
(iii) 32547
Solution:
(i) Take the given number 2,954,623
The place value of a stressed digit 9 is at a Hundred thousand position i.e., 9×100,000=900,000.
(ii) Take the given number 124,789
The place value of a stressed digit 2 is at Ten thousand position i.e., 2×10,000=20,000.
(iii) Take the given number 32,547
The place value of a stressed digit 5 is at Hundreds place i.e., 5×100=500.
Example 3:
Find the place values of the number 987654321.
Solution:
The given number is 987654321.
Place the number in the correct position using place values by grouping them with the help of three periods.
Thus, the number is 987,654,321 after grouping the digits.
The place values of digits are
Number 1 is in one’s place 1×1=1, Number 2 is in the tens place 2×10=20, Number 6 is in the hundreds place 3×100=300, Number 4 is in thousands place 4×1000=4000, Number 5 is in ten thousand place 5×10,000=50,000, Number 6 is in hundred thousand place 6×100,000=600,000, Number 7 is in million place 7×1,000,000=7,000,000, Number 8 is in ten million place 8×10,000,000=80,000,000, and Number 9 is in hundred million place 9×100,000,000=900,000,000.
For clear understanding, we have given the representation of the number in an image form as below.
Example 4:
What number has 5 tens and 3 more ones than the tens?
Solution:
First, we know that we have 5 tens and also have 3 more ones than the tens.
Next, our Tens are 5. We add 3 to 5 for ones i.e., 3+5=8.
Now, there are 8 ones.
Thus, the answer is 58.
Example 5:
What number has 7 tens and 3 fewer ones than the tens?
Solution:
We have 7 tens and 3 fewer ones than the tens.
Our tens are 7 and subtract 3 ones from 7 ones i.e., 7-3=4.
Now, there are 4 ones.
Therefore, the answer is 74.
Example 6:
What number has 7 ten thousand, 1 fewer thousand than ten thousand, 3 more hundreds than thousands, the same number of tens as hundreds, and 2 fewer ones than thousands?
Solution:
First, the number in ten thousand place value is 7.
There are 7 ten thousand and 1 fewer thousand than ten thousand i.e., 7-1=6 (6 is in thousands place).
3 more hundreds than thousands i.e., 3+6=9 (9 is in hundreds place).
Then the same number of tens as hundreds i.e., 9 is in hundreds place then tens place value is 9.
2 fewer ones than thousands i.e., 6-2=4 (4 is in one’s place).
Thus, the number with the place values is 76,998.