Page 19 - Maths Skill - 3

4-digit Numbers 17

Example 2: Find the place value of 5 in 2853. Fact-o-meter

Solution: Th H T O Place value of zero is always 0.

2 8 5 3 For example, place value of 0
in 1054 = 0 × 100 = 0
5 is at tens place, so its place value is 50.

Exercise 2.3

1. Write the place value and face value of each digit in the following numbers.

(a) Th H T O Place Face (b) Th H T O Place Face
7 0 5 1 value value 6 2 3 3 value value

2. Write the place value of the encircled digits.
(a) 3 5 6 3 (b) 6 9 4 5

(c) 1 3 8 9 (d) 2 9 3 0

(e) 3 4 1 3 (f) 3 8 0 5

Expanded Form

When we write a number in terms of sum of the place values of its digits, it is called the
expanded form of that number.

For example, 2617 is made up of 2 thousands, 6 hundreds, 1 ten and 7 ones.
Thus, the expanded form of 2617 is :

2617 = 2 thousands + 6 hundreds + 1 ten + 7 ones or

2617 = 2000 + 600 + 10 + 7
If we reverse this process, we can get the standard form (short form) of the numbers.

Thus, the short form of 2000 + 600 + 10 + 7 = 2617.

Let’s Attempt

Example 1: Write the following numbers in expanded form.
(a) 3752 (b) 6083

Solution: (a) Expanded form of 3752 = 3000 + 700 + 50 + 2
(b) Expanded form of 6083 = 6000 + 0 + 80 + 3