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Write the following numbers in the expanded forms:
279404, 3006194, 2806196, 120719, 20068

Solution:

Expanded form of number means expressing a number using powers of 10 as exponents.

Let's expand the given numbers.

(i) 279404

= 2 × 100000 + 7 × 10000 + 9 × 1000 + 4 × 100 + 0 × 10 + 4 × 1

= 2 × 105 + 7 × 104 + 9 × 103 +  4 × 102 + 0 × 101 + 4 × 100

(ii) 3006194

= 3 × 1000000 + 0 × 100000 + 0 × 10000 + 6 × 1000 + 1 × 100 + 9 × 10 + 4 × 1

= 3 × 106 + 0 × 105 + 0 × 104 + 6 × 103 +1 × 102 + 9 × 101 + 4 × 100

(iii) 2806196

= 2 × 1000000 + 8 × 100000 + 0 × 10000 + 6 × 1000 + 1 × 100 + 9 × 10 + 6 × 1

= 2 × 106 + 8 × 105 + 0 × 104 + 6 × 103 +1 × 102 + 9 × 101 + 6 × 100

(iv) 120719

= 1 × 100000 + 2 × 10000 + 0 × 1000 + 7 × 100 + 1 × 10 + 9 × 1

= 1 × 105 + 2 × 104 + 0 × 103 + 7 × 102 + 1 × 101 + 9 × 100

(v) 20068

= 2 × 10000 + 0 × 1000 + 0 × 100 + 6 × 10 + 8 × 1

= 2 × 104 + 0 × 103 + 0 × 102 + 6 × 101 + 8 × 100

☛ Check: NCERT Solutions Class 7 Maths Chapter 13

Video Solution:

Write the following numbers in the expanded forms: 279404, 3006194, 2806196, 120719, 20068

Maths NCERT Solutions Class 7 Chapter 13 Exercise 13.3 Question 1

Summary:

The following numbers in the expanded forms: 279404, 3006194, 2806196, 120719, 20068 are (i) 2 × 105 + 7 × 104 + 9 × 103 +  4 × 102 + 0 × 101 + 4 × 100, (ii) 3 × 106 + 0 × 105 + 0 × 104 + 6 × 103 +1 × 102 + 9 × 101 + 4 × 100, (iii) 2 × 106 + 8 × 105 + 0 × 104 + 6 × 103 +1 × 102 + 9 × 101 + 6 × 100, (iv) 1 × 105 + 2 × 104 + 0 × 103 + 7 × 102 + 1 × 101 + 9 × 100, (v) 2 × 104 + 0 × 103 + 0 × 102 + 6 × 101 + 8 × 100

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