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) \(20.03\)

\[\begin{align}20.03 = &2 \times 10 + 0 \times 1 +\\&0 \times\frac{1}{{10}} + 3 \times \frac{1}{{100}}\end{align}\]

ii) \(2.03\)

\[\begin{align}2.03 = &2 \times 1 + 0 \times\frac{1}{10} + \\&3 \times \frac{1}{100} \end{align}\]

iii) \(200.03\)

\[\begin{align} 200.03 = &2 \times 100 + 0 \times 10 + 0 \times 1 \\&+ 0 \times \frac{1}{10} + 3 \times \frac{1}{100} \end{align}\]

iv) \(2.034\)

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