Page 14 - ICSE Math 4

Place Value and Face Value Top Tip

The place value of a digit depends on its place or posi on Every 1-digit number

in a number. has the same place
value and face value.
The face value of a digit in a number is the value of the
digit itself.

Let’s consider a 6-digit number 5,43,296 and find the face value and place value of
3 in it.

The face value of 3 in 5,43,296 is 3 and the place value of 3 is 3 thousands or 3,000.

Example 3: Write the place value and face value of the underlined digits in 8,27,546.
Solu on: The face value of 8 is 8 and the place value of 8 is 8 lakhs or 8,00,000.

The face value of 7 is 7 and the place value of 7 is 7 thousands or 7,000.

The face value of 4 is 4 and the place value of 4 is 4 tens or 40.

Expanded Form and Standard (Short) Form

We already know that wri ng a number as the sum of the place values of its digits is called
the expanded form of that number. Let’s revise it with the help of an example.
Consider a 5-digit number 78,168.

The number 78,168 in the expanded form can be wri en as shown below.

78,168 = 70,000 + 8,000 + 100 + 60 + 8
It can also be wri en in the expanded form in words.

78,168 = 7 ten thousands + 8 thousands + 1 hundred + 6 tens + 8 ones
= 7 TTh + 8 Th + 1 H + 6 T + 8 O

Similarly, if the expanded form of a number is given, the standard (short) form of the
number can also be wri en. To write the short form of an expanded number, we write the
face value of each digit in its correct place. Look at the example given below.

Expanded form Standard form (Short form)
90,000 + 5,000 + 300 + 90 + 7 95,397

Example 4: Write 5,08,986 in expanded form.

Solu on: 5,08,986 = 5,00,000 + 8,000 + 900 + 80 + 6

= 5 lakhs + 8 thousands + 9 hundreds + 8 tens + 6 ones
= 5 L + 8 Th + 9 H + 8 T + 6 O

Example 5: Write 7 lakhs + 5 ten thousands + 3 thousands + 9 tens + 5 ones in standard
form.

Solu on: 7,53,095

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