Question

Write the given model in their standard form and expanded form.

• A. Standard form: Expanded form:

  $0.68$

  $(6\times \frac{1}{10})+(8\times \frac{1}{100})$

• B. Standard form: Expanded form:

  $6.8$

  $(6\times 10)+(8\times \frac{1}{10})$

Answer 1

The correct option is A Standard form: Expanded form:

$0.68$

$(6\times \frac{1}{10})+(8\times \frac{1}{100})$

The entire given shape is one whole.

Total number of small pieces
$=\left(\text{Number of pieces at bottom}\right)\times \left(\text{Number of pieces at a side}\right)$
$=10\times 10$
$=100$

$\therefore$ Each small square represents $\frac{1}{100}$ of a whole.

Total number of colored boxes
$=\left(\text{Number of fully filled columns}\right)\times 10+\left(\text{Number of boxes in partially filled columns}\right)$
$=\left(6\right)\times 10+\left(8\right)$
$=60+8$
$=68$

$\therefore$ 68 filled boxes out of 100.
$\Rightarrow$ Standard form$=\frac{68}{100}$
$\Rightarrow$ Standard form$=0.68$

The expanded form of 0.68 is obtained by multiplying the face values with their places values and add them.

The expanded form $=(6\times \frac{1}{10})+(8\times \frac{1}{100})$