Explain the expression "a tenth". How do we represent a tenth using decimals? [1 MARK]

Convert the given fractions into decimals and mention the place values of the digits of each number. [2 MARKS]
1. $\frac{7}{100}$
2. $\frac{9}{1000}$

Change the units of the following measures into the measures given below. [3 MARKS]
$\begin{array}{ccc}\text{Measure}& \text{Change from}& \text{Change to}\\ 7& \text{Kilograms}& \text{Grams}\\ 274& \text{Millimeters}& \text{Centimeters}\\ 145& \text{Paise}& \text{Rupees}\end{array}$

Represent the following numbers on a number line: [2 MARKS]
1.  1.5
2.  2.35

Find the difference between the following numbers and represent it in decimals: [4 MARKS]
1)  4.5 - 2.3 = ?
2)  5 - 2.5 = ?
3)  6.2 - 3.7 = ?
4)  5.6 - 4.7 = ?
 

Perform the following arithmetic operations and express the answer in decimals: [4 MARKS]
i) $\frac{4}{10}$ - $\frac{2}{100}$ = ?
ii) $\frac{7}{100}$ + $\frac{3}{10}$ = ?
iii) $\frac{2}{10}$ x $\frac{52}{100}$ = ?
iv) $\frac{412}{100}$ x $\frac{724}{1000}$ = ?

Find the product of the following pairs of numbers: [4 MARKS]
1) 3.6 $\times$ 2.1 = ?
2) 4.2 $\times$ 1.4 = ?
3) 2 $\times$ 7.1 = ?
4) 2.3 $\times$ 3.22 = ?
 

Add up the following decimals: [3 MARKS]
1) 2.1 + 3.7 + 1.2
2) 2.02 + 1.80
3) 1.03+ 7.002 

Arrange the following sets of decimals according to their ascending order. [3 MARKS]

1) 0.6, 0.4, 5.4, 3.2, 1.5
2) 0.7, 1.8, 1.09, 2.1, 2.02
3) 1.5, 2.1, 0.21, 2.03, 1.35

Perform the following arithmetic operations. [4 MARKS]

1) 26.5 - 3.14 + 9.47 - 2.1 = ?
2) (5.3 $\times$ 2.1) - (6.2 $\times$ 1.4) = ?
3) (0.001$\times$100) + (89.3 + 10.6) = ?
4) 4.05 + 5.13 - 9 = ?