MCQ on Decimals for Class 6

Answer: (b) Whole number part = 37 , Decimal part = 1

Explanation: Decimal has two parts; whole number part and decimal part and these parts are separated by a dot (.)

The left side of decimal point is called whole number part

Hence, the whole number part in the given number is = 37

The right side of decimal point is called decimal part

Hence, the decimal part in the given number is = 1

Answer: (d) 9.8

Explanation: Decimal having the same number of decimal places are called Like Decimals

The number of decimal places in 10.58 is 2

The number of decimal places in 8.91 is 2

The number of decimal places in 10.81 is 2

The number of decimal places in 9.8 is 1

Hence, 9.8 is unlike decimal since it has only 1 decimal place while all other numbers have 2 decimal places

Answer: (a) <

Explanation: The given decimal are 78.56 and 89.34

When we compare the decimals, first step is to compare the whole-number part of the two decimals. If the whole number part is the same, then we compare the decimal part. Else the decimal with the higher whole number part is the larger decimal

Let us compare their whole – number parts

The left side of decimal point is called whole number part

The Whole number part of the two numbers are 78 and 89

Clearly, 78 < 89

Hence, 78.56 < 89.34

Answer: (a) >

Explanation: Let us compare their whole – number parts

The left side of decimal point is called whole number part

The whole number part of 94.44 and 94.27 are equal that is 94

Let us compare their tenth digits

The first digit after decimal point is called tenth place value

The tenth place value of the two numbers are 0.4 and 0.2 respectively.

Clearly, 0.4 > 0.2

Since, 94.44 > 94.27

Answer: (d) 49/50

Explanation: Step 1: Write the given decimal without the decimal point as the numerator of the fraction = 98

Step 2: Denominator, write 1 followed by as many zeroes, as there are decimal places in the given decimal = 100

= 98/100

Step 3: Convert the fraction 98100 into simplest form

HCF of 98 and 100 is 2

then, 98/100 = (98÷2)/(100÷2) = 49/50 (To simplify this we have to divide numerator and denominator by HCF of 98 and 100 i.e., 2 )

Hence, 0.98 = 4950

Answer: (a) 5/10

Explanation:

Place value of 5 = 5 Tenths = 5/10

So, the answer is 510

Answer: (c) 3.14 kg

Explanation: First, we have to convert 140 g into kg

As we know that, 1000 g = 1 kg

1 g = 1/1000 kg

140 g = ( (1/1000) x 140 ) kg

140 g = 140/1000 kg

140 g = 0.14 kg

Now we have to convert, 3 kg 140 g into kg

3 kg + 140 g

= 3 kg + 0.14 kg (From above 140 g = 0.14 kg )

= 3.14 kg

Answer: (b) ₹ 47.74

Explanation: First, we have to convert 74 paise into rupees

As we know that, 100 paise = 1 rupees

1 paise = 1/100 rupees

74 paise = ( (1/100) x 74 ) rupees

74 paise = ₹ 74/100

74 paise = ₹ 0.74

Now we have to convert, ₹ 47 and 74 paise into rupees

₹ 47 + 74 paise

= ₹ 47 + ₹ 0.74 (From above 74 paise = ₹ 0.74 )

= ₹ 47.74

Answer: (a) 19.33 km

Explanation: First, we have to convert 330 m into km

As we know that, 1000 m = 1 km

1 m = 1/1000 km

330 m = ((1/1000) x 330 ) km

330 m = 330/1000 km

330 m = 0.33 km

Now we have to convert, 19 km 330 m into km

19 km + 330 m

= 19 km + 0.33 km (From above 330 m = 0.33 km )

= 19.33 km

Answer: (a) 51.023

Explanation: We can write, 51(23/1000) as 51 + (23/1000)

= 51 + 0.023

= 51.023

Hence, 51(23/1000) can be expressed as 51.023.

Answer: (b) 2.5

Explanation: We have 2(1/2) = (2×2 + 1) /2)

= (4+1)/2

= 5/2

On dividing 5 by 2 we get 2.5

Hence, the decimal value of the given fraction is 2.5

Answer: (c) 692.755

Explanation: On Converting the given decimals into like decimals, we get

83.900

48.000

164.100

396.755

On adding them,we get

83.900 + 48.000 + 164.100 + 396.755 = 692.755

Hence, the sum of the given decimal is 692.755

Answer: (d) 8.59

Explanation: On Converting the given decimals into like decimals, we get 77.41 and 86.00

On subtracting them, we get

86.00 – 77.41

= 08.59

Hence, On Subtracting 77.41 from 86 we get 8.59

Answer: (b) 53.41

Explanation: Converting the given decimals into like decimals, and adding and subtracting as shown below, the given expression

= Converting the given decimals into like decimals

= 72.2 – 65.42 + 92.33 – 45.7

= ( 72.2 + 92.33 ) – ( 65.42 + 45.7 )

= 164.53 – 111.12

= 53.41

Answer: (c) 3.33

Explanation: Lets say the number to be added to 26.67 to get 30 is x

This implies that 26.67 + x = 30

or x = 30 – 26.67

Thus, in this question we have to subtract 26.67 from 30 to get the number which should be added to 26.67 to become 30

30.00 – 26.67 = 03.33

Hence, 3.33 is to be added to 26.67 to become 30

Answer: (b) 5.3

Explanation: Lets say the number to be subtracted to 12.6 to get 7.3 is x

This implies that 12.6 – x = 7.3

or x = 12.6 – 7.3

Thus, in this question we have to subtract 7.3 from 12.6 to get the number which should be subtracted to 12.6 to become 7.3

12.6 – 7.3 = 5.3

Hence, 5.3 is to be subtracted to 12.6 to become 7.3

Answer: (b) 8.37 > 6.53 > 6.23

Explanation: Descending order means to arrange the number from greater number to smaller number

Place Value Chart:

When we compare the decimal, first compare the whole-number part and then compare the decimal part.

When we compare the whole-number part we find that 8 is greater than 6 and 6

Hence 8.37 > 6.53 and 6.23

Between 6.53 and 6.23 since whole number part is same, we compare the decimal parts

Clearly 6.53 > 6.23

Hence, decimal numbers in descending order are: 8.37 > 6.53 > 6.23