# 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) $$2.034$$

Video Solution
Fractions And Decimals
Ex 2.5 | Question 5

## 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}

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