## Place Values

#### 1. Understanding places and values of digits in a number

There are 10 different symbols that we use to generate numbers - 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Every number is a combination of these symbols or digits.

When we use these digits to make numbers, every digit is assigned a value based on the place in which it is positioned in the number.

Without places and values we would need a unique symbol to represent every possible number in the world!

Every number is a combination of these symbols or digits.

When we use these digits to make numbers, every digit is assigned a value based on the place in which it is positioned in the number.

Without places and values we would need a unique symbol to represent every possible number in the world!

#### 2. Finding the places and values of digits in a number

Let us take these two numbers:

In 478, the digit 4 is in the

In 48 236 951, the digit 4 is in the

So, the value of a digit is determined based on the position at which it is placed inside the number.

**478**and**3742**. The digit**4**has a different value in each of these two numbers.In 478, the digit 4 is in the

**hundreds place**, so its**value**is 4 x 100 or**400**or four hundred.In 48 236 951, the digit 4 is in the

**ten millions place**, so its**value**is 4 x 10 000 000 or**40 000 000**or forty million.So, the value of a digit is determined based on the position at which it is placed inside the number.

#### 3. How many thousands are there in 1 million?

1 million = 1 000 000

= 1 000 000

= 1000 000

= 1000 thousands

= 1000 times thousand

= 1000 × 1000

There are 1000 thousands in 1 million. There are one thousand thousands in 1 million.

#### 4. How many thousands are there in 10 million?

10 million = 10 000 000

= 10 000 000

= 10000 000

= 10000 thousands

= 10000 times thousand

= 10000 × 1000

There are 10000 thousands in 10 million. There are ten thousand thousands in 10 million.

#### 5. What is the value of each digit in 93 564 287?

In 93 654 287, the digit

**9**is in the ten millions place, so its value is 9 × 10 000 000, which is**90 000 000**or ninety million**3**is in the one millions place, so its value is 3 × 1 000 000, which is**3 000 000**or three million**5**is in the hundred thousands place, so its value is 5 × 100 000, which is**500 000**or five hundred thousand**6**is in the ten thousands place, so its value is 6 × 10 000, which is**60 000**or sixty thousand**4**is in the thousands place, so its value is 4 × 1 000, which is**4 000**or four thousand**2**is in the hundreds place, so its value is 2 × 100, which is**200**or two hundred**8**is in the tens place, so its value is 8 × 10, which is**80**or eighty**7**is in the ones place, so its value is 7 × 1, which is**7**or seven

Hence,