# Free Decimals Subjective Test 01 Practice Test - 6th grade

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

#### SOLUTION

Solution :

If a block of one unit is divided into 10 equal parts, then each part is 110 (one-tenth) of the unit.  It is written as 0.1 in decimal representation. The dot denotes the decimal point.

For example, a tenth​​​​​ of 5 = 5×(110) = 0.5.

Convert the given fractions into decimals and mention the place values of the digits of each number. [2 MARKS]

1. 7100
2. 91000

#### SOLUTION

Solution :

Fraction to decimal: 1 Mark
Place values: 1 Mark

1. 1100 = 0.07
Place values:
OnesTenthsHundredths7

2. 91000 = 0.009
Place values:
OnesTenthsHundredthsThousandths9

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

#### SOLUTION

Solution :

Number line: 1 Mark each

1. 2. Change the units of the following measures into the measures given below. [3 MARKS]

MeasureChange fromChange to7KilogramsGrams274MillimetersCentimeters145PaiseRupees

#### SOLUTION

Solution :

Measures: 1 Mark each

1. 7 Kilograms = 7000 Grams     [ as 1 kilogram=1000 grams]
2. 274 Millimeters = 27.4 Centimeters [ 1 cm = 10 mm]
3. 145 Paise = 1.45 Rupees  [ 1 rupee = 100 Paise ]

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

#### SOLUTION

Solution :

Ascending order: 1 Mark each

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

Add up the following decimals: [3 MARKS]

1) 2.1 + 3.7 + 1.2
2) 2.02 + 1.80
3) 1.03+ 7.002

#### SOLUTION

Solution :

Sum: 1 Mark each

1) 2.1 + 3.7 + 1.2 = 7
2) 2.02 + 1.80 = 3.82
3) 1.03+ 7.002 = 8.032

Perform the following arithmetic operations. [4 MARKS]

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

#### SOLUTION

Solution : Operations: 1 Mark each

1) 26.5 - 3.14 + 9.47 - 2.1 = 30.73
2) (5.3 × 2.1) - (6.2 × 1.4) = 2.45
3) (0.001×100) + (89.3 + 10.6) = 100
4) 4.07 + 5.13 - 9.2 = 0

Find the product of the following pairs of numbers: [4 MARKS]

1) 3.6 × 2.1 = ?
2) 4.2 × 1.4 = ?
3) 2 × 7.1 = ?
4) 2.3 × 3.22 = ?

#### SOLUTION

Solution :

Product: 1 Mark each

1) 3.6 × 2.1 = 7.56
2) 4.2 × 1.4 = 5.88
3) 2 × 7.1 = 14.2
4) 2.3 × 3.22 = 7.406

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 = ?

#### SOLUTION

Solution :

Differences: 1 Mark each

1)  4.5 - 2.3 = 2.2
2)  5 - 2.5 = 2.5
3)  6.2 - 3.7 = 2.5
4)  5.6 - 4.7 = 0.9

Perform the following arithmetic operations and express the answer in decimals: [4 MARKS]

i) 4102100 = ?
ii) 7100 + 310 = ?
iii) 210
x 52100 = ?
iv) 412100
x 7241000 = ?

#### SOLUTION

Solution :

Problems: 1 Mark each

i) 4102100 = 401002100  =  23100=0.38

ii) 7100 + 310 =7100 + 30100=37100=0.37

iii) 210 x52100 =1041000= 0.104

iv) 412100
x 7241000 = 298288100000=2.98288