Question

Complete the table with the help of these boxes and use decimals to write the number.

Answer 1

Complete the table.

Here, each big square represents the number of Ones $\left(1\right)$.

Each row and each column has $10$ small squares. Hence, each row and each column represents the number of Tenths $\left(\frac{1}{10}\right)$.

Each big square contains $100$ small squares. Hence, each small square represents the number of Hundredths $\left(\frac{1}{100}\right)$.

Use the information from the given boxes to find the values of Ones, Tenths, and Hundredths.

(a)

Consider the figure shown.

Since the big square is not completely filled with dots, hence the number of Ones is $0$.

There are two columns completely filled with dots, hence the number of Tenths is $2$.

There are remaining $6$ small squares filled with dots, hence the number of Hundredths is $6$.

Therefore, the number can be written as

$\begin{array}{rcl}0+\frac{2}{10}+\frac{6}{100}& =& 0.2+0.06\\ & =& 0.26\end{array}$

Hence, the number is $0.26$.

(b)

Consider the figure shown.

There is one big square completely filled with dots, hence the number of Ones is $1$.

In the second big square, there are three rows completely filled with dots, hence the number of Tenths is $3$.

There are remaining $8$ small squares filled with dots, hence the number of Hundredths is $8$.

Therefore, the number can be written as

$\begin{array}{rcl}1+\frac{3}{10}+\frac{8}{100}& =& 1+0.3+0.08\\ & =& 1.38\end{array}$

Hence, the number is $1.38$.

(c)

Consider the figure shown.

There is one big square completely filled with dots, hence the number of Ones is $1$.

In the second big square, there are two rows completely filled with dots, hence the number of Tenths is $2$.

There are remaining $8$ small squares filled with dots, hence the number of Hundredths is $8$.

Therefore, the number can be written as

$\begin{array}{rcl}1+\frac{2}{10}+\frac{8}{100}& =& 1+0.2+0.08\\ & =& 1.28\end{array}$

Hence, the number is $1.28$.

Hence, according to the given data, the table can be completed as shown below:

	Ones	Tenths	Hundredths	Number
$\left(\mathrm{a}\right)$	$0$	$2$	$6$	$0.26$
$\left(\mathrm{b}\right)$	$1$	$3$	$8$	$1.38$
$\left(\mathrm{c}\right)$	$1$	$2$	$8$	$1.28$