Ex 2.5 Q5 Fractions and Decimals Solution- NCERT Maths class 7

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Question

Write the following decimal numbers in expanded form:-

i) \( 20.03\)

ii) \(2.03\)

iii) \(200.03\)

iv) \(2.034\)

Text Solution

What is known?

Decimal numbers

What is unknown?

Decimal numbers in expanded form.

Reasoning:

Hundreds   Tens     Ones Decimal Tenths Hundredths
100 10 1 --------- \[\frac{1}{{10}}\] \[\frac{1}{{100}}\]

Steps:

i) \(20.03\)

\(20.03 = 2 × 10 + 0 × 1 + 0 ×\) \(\begin{align}\frac{1}{{10}} + 3 \times \frac{1}{{100}}\end{align}\)

ii) \(2.03\)

\(2.03 = 2 × 1 + 0 ×\) \(\begin{align}\frac{1}{{10}} + 3 \times \frac{1}{{100}}\end{align}\)

iii) \(200.03\)

\(200.03 = 2 × 100 + 0 × 10 + 0 × 1 + 0 \) \(\begin{align} \times \frac{1}{{10}} + 3 \times \frac{1}{{100}}\end{align}\)

iv) \(2.034\)

\(2.034 = 2 × 1 + 0 ×\) \(\begin{align}\frac{1}{{10}} + 3 \times \frac{1}{{100}} + 4 \times \frac{1}{{1000}}\end{align}\)