Write the following decimal numbers in the expanded form:
(i) 20.03 (ii) 2.03 (iii) 200.03 (iv) 2.034

Solution:

We use the basic concepts of fractions and decimals to answer the question given.

i) 20.03

20.03 = 2 × 10 + 0 × 1 + 0 × 1/10 + 3 × 1/100 = 20 + 0 + 0 + 0.03

ii) 2.03

2.03 = 2 × 1 + 0 × 1/10 + 3 × 1/100 = 2 + 0 + 0.03

iii) 200.03

200.03 = 2 × 100 + 0 × 10 + 0 × 1 + 0 × 1/10 + 3 × 1/100 = 200 + 0 + 0 + 0 + 0.03

iv) 2.034

2.034 = 2 × 1 + 0 × 1/10 + 3 × 1/100 + 4 × 1/1000 = 2 + 0 + 0.03 + 0.004

☛ Check: NCERT Solutions for Class 7 Maths Chapter 2

Video Solution:

Write the following decimal numbers in the expanded form: (i) 20.03 (ii) 2.03 (iii) 200.03 (iv) 2.034

NCERT Solutions Class 7 Maths Chapter 2 Exercise 2.5 Question 5

Summary:

The following decimal numbers in the expanded form are: (i) 20.03 = 2 × 10 + 0 × 1 + 0 × 1/10 + 3 × 1/100 = 20 + 0 + 0 + 0.03, (ii) 2.03 = 2 × 1 + 0 × 1/10 + 3 × 1/100 = 2 + 0 + 0.03, (iii) 200.03 =  2 × 100 + 0 × 10 + 0 × 1 + 0 × 1/10 + 3 × 1/100 = 200 + 0 + 0 + 0 + 0.03  and (iv) 2.034  = 2 × 1 + 0 × 1/10 + 3 × 1/100 + 4 × 1/1000 = 2 + 0 + 0.03 + 0.004

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