Expanded Form and Short Form of a Number

When we write a number as a sum of place value of its digits, the number is said to be in expended form and when we write a number using digits, the number is said to be in short form. There are 3 ways to write the expanded form. There are 3 ways to write the expanded form for a given number.


Examples on Expanded Form and Short Form of a Number:

1. Write the expanded form for 43,257.

Solution:

1st way: 4 ten thousands + 3 thousands + 2 hundreds + 5 tens + 7 ones

2nd way: 4 × 10000 + 3 × 1000 + 2 × 100 + 5 × 10 + 7 × 1

3rd way: 40000 + 3000 + 200 + 50 + 7

2. Write the expanded form for 14,080.

Solution:

14,080 = 1 ten thousand + 4 thousands + 8 tens   [Note: We do not write the place value for hundreds and ones as these places are filled with zero.]

or, 1 × 10000 + 4 × 1000 + 8 × 10

or, 10000 + 4000 + 80


3. Write the short form for the given expanded forms.

(i) 8 ten thousands + 6 hundreds + 6 tens + 3 ones

(ii) 9  × 10000 + 7 × 1000 + 4 × 10 + 2

(iii) 40000 + 3000 + 900 + 70 + 8

Solution:

                 Expanded Form

(i) 8 ten thousands + 6 hundreds + 6 tens + 3 ones

(ii) 9 × 10000 + 7 × 1000 + 4 × 10 + 2

(iii) 40000 + 3000 + 900 + 70 + 8

Short Form

80663

97042

43978

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3rd Grade Math Lessons

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