WRITE THE NEXT NUMBER IN THE DECIMAL SEQUENCES

Continue the number sequences by writing the next three terms.

Problem 1 :

0.1, 0.2, 0.3 …

Solution :

By observing the sequence above, every term is 

added by +0.1

to get the next term of the sequence.

So, the next three terms are

0.1, 0.2, 0.3, 0.4, 0.5, 0.6,...

Problem 2 :

 0.2, 0.4, 0.6 …

Solution :

By observing the sequence above, every term is 

added by +0.2

to get the next term of the sequence.

So, the next three terms are

0.2, 0.4, 0.6, 0.8, 0.10, 0.12,...

Problem 3 :

 0.03, 0.05, 0.07 …

Solution :

By observing the sequence above, every term is 

added by +0.02

to get the next term of the sequence.

So, the next three terms are

0.03, 0.05, 0.07, 0.09, 0.11, 0.13,...

Problem 4 :

0.05, 0.06, 0.07 …

Solution :

By observing the sequence above, every term is 

added by +0.01

to get the next term of the sequence.

So, the next three terms are

0.05, 0.06, 0.07, 0.08, 0.09, 0.10,...

Problem 5 :

 5.2, 5.1, 5.0 …

Solution :

By observing the sequence above, every term is 

subtracted by -0.1

to get the next term of the sequence.

So, the next three terms are

5.2, 5.1, 5.0, 4.9, 4.8, 4.7,...

Problem 6 :

0.11, 0.22, 0.33 …

Solution :

By observing the sequence above, every term is 

added by +0.11

to get the next term of the sequence.

So, the next three terms are

0.11, 0.22, 0.33, 0.44, 0.55, 0.66,...

Problem 7 :

7.4, 7.2, 7.0 …

Solution :

By observing the sequence above, every term is 

subtracted by -0.2

to get the next term of the sequence.

So, the next three terms are

7.4, 7.2, 7.0, 6.8, 6.6, 6.4,...

Problem 8 :

3.2, 2.8, 2.4 …

Solution :

By observing the sequence above, every term is 

subtracted by -0.4

to get the next term of the sequence.

So, the next three terms are

3.2, 2.8, 2.4, 2.0, 1.6, 1.2,...

Problem 9 :

0.6, 0.55, 0.5 …

Solution :

By observing the sequence above, every term is 

subtracted by -0.05

to get the next term of the sequence.

So, the next three terms are

0.6, 0.55, 0.5, 0.45, 0.4, 0.35,...

Problem 10 :

The digit in the tenth place of 82.356 is _____

a) 5      b) 8      c) 3      d) 6

Solution :

82.356

The digit at the tenth place is 3. Option c is correct.

Problem 11 :

The smallest decimal number amongst the following is _______

a) 6.3     b) 7.4    c) 9.4      d) 3.5

Solution :

The smallest number in the ones place is 3. So, 3.5 is the smallest number in all.

Problem 12 :

Fill in the blanks.

a) 8.57 _______ 8.75 (put <, > or =)

b) 6 is present in _________ place of 72.65.

Solution :

a) Here 8.57 is lesser than 8.75. Then 8.57 < 8.75

b) Here 6 is at the tenth place.

Problem 13 :

Insert <, > or = between these pairs of numbers:

a)  3.63 ___ 3.6

b) 7.07 ____ 7.7

c) 0.00876 _____ 0.0786

d) 0.229, 0.292

e)  0.47 ____ 0.5

f)   21.101 _____ 21.011

g)  0.746 ____ 0.467

h)  0.076 ____ 67/100

i)  0.306 ____ 0.603

Solution :

a)  3.63 ___ 3.6

Converting into like decimals, we get 3.63 and 3.60

63 is greater than 60. So, 3.63 > 3.60

b) 7.07 ____ 7.7

Converting into like decimals, 7.07 and 7.70

07 is lesser than 70, so 7.07 < 7.70

c) 0.00876 _____ 0.0786

Comparing numbers at the hundredth place 0 and 7. 7 is  greater than 0, then 

0.00876 < 0.0786

d) 0.229 ____ 0.292

We have like decimals, comparing 22 and 29. 29 is greater than 22.

0.229 < 0.292

e)  0.47 ____ 0.5

0.47 is lesser than 0.50, then 0.47 < 0.50

f)   21.101 _____ 21.011

21.101 is greater than 21.011

21.101 > 21.011

g)  0.746 ____ 0.467

0.74 is greater than 0.46. Then 0.746 > 0.467

h)  0.076 ____ 67/100

Converting 67/100 as decimal, we get 0.67. Now comparing 0.076 and 0.67, 0.076 is lesser than 0.076.

0.076 < 67/100

i)  0.306 ____ 0.603

0.306 is lesser than 0.603. Then 0.306 < 0.603

Point J is shown on the number line.

Which number does point J represent?

a) 8.02     b) 8.2       c) 7.12      d) 7.13

Solution :

Continuing the numbers in the way,

7, 7.1, 7.2, 7.3, 7.4, 7.5, ..............8.2, 8.3, ...........9

So, the number at J is 8.2

The population of City A is eighty-four thousand two hundred six. The population of City B is represented by the expression 80,000 + 4,000 + 200 + 10 + 6.

Write a number sentence using >, <, or = to compare the populations of City A and City B.

Population in city A :

eighty-four thousand two hundred six

84206

Population in city B :

80,000 + 4,000 + 200 + 10 + 6.

84216

So, population in city B is greater.

84206 < 84216