Question

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Write the given model in its expanded form.

• A. $(2\times \frac{1}{100})+(5\times \frac{1}{10})$
• B. $(2\times \frac{1}{10})+(5\times \frac{1}{100})$
• C. $(2\times 1)+(5\times \frac{1}{100})$
• D. $(2\times \frac{1}{10})-(5\times \frac{1}{100})$

Answer 1

The correct option is B $(2\times \frac{1}{10})+(5\times \frac{1}{100})$

$\text{The given large square is divided}$ $\text{into}10\times 10\text{small squares.}$

$\text{So, one small square represents}\frac{1}{100}$ $\text{part of the whole large square.}$

$\text{25 squares are colored pink out of}$ $\text{100 tiny squares.}$

$\text{Fraction of colored squares}$ $\text{=}\frac{25}{100}\text{= 0.25}$

$\text{Now, to get its expanded form,}$ $\text{we will multiply each face value with}$ $\text{its place value:}$

$⟹0.25=(2\times \frac{1}{10})+(5\times \frac{1}{100})$