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!

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

Let us take these two numbers: 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,