## Number Notation and Place Values Up To 10000

Practice Unlimited Questions

#### What is a place value of a number?

Every digit is assigned a value based on the place in which it is positioned in the number.

#### What is an example of place value?

Let’s find the value of 3 in 4389. The digit 3 is placed in hundreds place so its value is 3 × 100 or 300 or three hundreds.

#### Place Value Chart upto 10000

To learn place value up to 10000 you use a chart like this:

 Number Place Value 1 Ones 1 x 1 = 1 10 Tens 1 x 10 = 10 100 Hundreds 1 x 100 = 100 1000 Thousands 1 x 1000 = 1000 10000 Ten Thousands 1 x 10000 = 10000

#### More examples:

1. What is the place value of 1 in 1567?
Digit 1 is in the Thousands place. Hence its value is 1  ×  1000 = 1000

2. What is the place value of 2 in 628?
Digit 2 is in the Tens place. Hence its value is 2  ×  10 = 20

3. What is the place value of 3 in 4538?
Digit 3 is in the Tens place. Hence its value is 3  ×  10 = 30

4. What is the place value of 4 in 7485?
Digit 4 is in the Hundreds place. Hence its value is 4  ×  100 = 400

5. What is the place value of 5 in 4775?
Digit 5 is in the Ones place. Hence its value is 5  ×  1 = 5

6. What is the place value of 6 in 6000?
Digit 6 is in the Thousands place. Hence its value is 6  ×  1000 = 6000

7. What is the place value of 7 in 178?
Digit 7 is in the Tens place. Hence its value is 7  ×  10 = 70

8. What is the place value of 8 in 3849?
Digit 8 is in the Hundreds place. Hence its value is 8  ×  100 = 800

9. What is the place value of 9 in 8902?
Digit 9 is in the Hundreds place. Hence its value is 9  ×  100 = 900

#### 1. Ryan had some building blocks that he arranged as below. Find the number of building blocks. 3267  =  3 thousands   2 hundreds   6 tens   7 ones

Or,

3267  =  3000  +  200  +  60  +  7

#### 2. Find the place and value of each digit in the number 3267. In 3267,
• the digit 7 is in the ones place, its value is 7 × 1 or 7
• the digit 6 is in the tens place, its value is 6 × 10 or 60
• the digit 2 is in the hundreds place, its value is 2 × 100 or 200
• the digit 3 is in the thousands place, its value is 3 × 1000 or 3000

#### 3. How many hundreds are there in 3600? There are 36 hundreds in 3 600.
There are thirty six hundreds in three thousand and six hundred.

#### 4. How many tens must be subtracted from 5450 to get 5120?

5450  −  5120
=  545 tens  −  512 tens
=  33 tens

33 tens must be subtracted from 5450 to get 5120.