Finding the Sum of Rational and Irrational Numbers-Algebra1-Solved Examples

Solved Examples and Worksheet for Finding the Sum of Rational and Irrational Numbers

Q1The simplest form of

$43$ +

$81$ is :

A. 7 +

$43$
B.

$43$ + 9
C. 6 +

$43$
D.

$43$ + 8

Solutions

Step: 1

$43$ +

$81$

Step: 2

$43$ + 9

[

$81$ = 9]

Correct Answer is :

$43$ + 9

Q2A girl is

$10$ years now. Find her age after 10 years ?

A. (7 +

$10$ ) years
B. (3 +

$10$ ) years
C. (4 +

$10$ ) years
D. (10 +

$10$ ) years

Solutions

Step: 1

Present age of a girl =

$10$ years

Step: 2

∴ The age of the girl after 10 years = (10 +

$10$ ) years

Correct Answer is : (10 +

$10$ ) years

Q3A boy jumps 30 cm for his first jump in a high jump competition. His second jump is

$29$ cm. How high did he jump in total

$in cm$ ?

A. (3 +

$29$ )
B. (30 +

$29$ )
C. (2 +

$29$ )
D. (29 +

$30$ )

Solutions

Step: 1

The height of the jump in first attempt = 30 cm

Step: 2

The height of the jump in second attempt =

$29$ cm

Step: 3

∴ The total height of the jump in both the attempts = (30 +

$29$ ) cm

Correct Answer is : (30 +

$29$ )

Q4A person bought two boxes. One box cost $15 and the other cost $

$23$ . What was the total bill

$in $$ ?

A. (15 +

$23$ )
B. (10 +

$15$ )
C. (23 +

$15$ )
D. (11 +

$23$ )

Solutions

Step: 1

Cost of one box = $15

Step: 2

Cost of other box = $

$23$

Step: 3

∴ The total bill = $(15 +

$23$ )

Correct Answer is : (15 +

$23$ )

Q5What is the rational part of

$37$ + 256^$14$ ?

A. 25
B.

$37$
C. 256^$14$
D. 37

Solutions

Step: 1

The expression

$37$ + 256^$14$ can be written as

$37$ + 4

[As 4 is the fourth root of 256.]

Step: 2

256^$14$ is the rational part of the given number

Correct Answer is : 256^$14$

Q6Identify the irrational part of 29 +

$7$ .

A. 7
B. 29 +

$7$
C.

$7$
D. 29

Solutions

Step: 1

The irrational part of 29 +

$7$ is

$7$

Correct Answer is :

$7$

Q7Find half of the perimeter of a rectangular track if its length and width are100 m and

$701$ m respectively?
A. 2(100 +

$701$ ) m
B. (200

$701$ ) m
C. (100 +

$701$ ) m
D. (100

$701$ ) m

Solutions

Step: 1

Half of the perimeter of a rectangular track = length + width

Step: 2

= 100 +

$701$

Step: 3

∴ Half of the perimeter of the rectangular track = (100 +

$701$ ) m

Correct Answer is : (100 +

$701$ ) m

Q8If

$a$ =

$7$ and

$b$ = 10, then what is the value of

$a$ +

$b$ ?
A. 15 +

$7$
B. 10 +

$7$
C. 18 +

$7$
D. 17 +

$7$

Solutions

Step: 1

The value of

$a$ +

$b$ =

$7$ + 10

[since

$a$ =

$7$ and

$b$ = 10]

Step: 2

= 10 +

$7$

Correct Answer is : 10 +

$7$

Q9If

$a$ = 6 and

$b$ =

$5$ then find the value of

$a + b$ ?
A. 6 +

$5$
B. 3 +

$6$
C. 11 +

$5$
D. 5 +

$6$

Solutions

Step: 1

Given that

$a$ = 6 and

$b$ =

$5$

Step: 2

The value of

$a$ +

$b$ = 6 +

$5$

Correct Answer is : 6 +

$5$

Q10If

$c$ = 17 and

$d$ = 64 then which among the following is irrational?

A.

$c$ +

$d$
B.

$c$ +

$d$
C.

$c$ +

$d$
D. 2

$d$ + c

Solutions

Step: 1

The value of

$c + d$ = 17 + 64 = 81, which is a rational number.

Step: 2

The value of

$c$ +

$d$ = 17 +

$64$ = 17 + 8 = 25, which is a rational number.

Step: 3

The value of 2

$d$ +

$c$ = 2

$64$ + 17 = 2

$8$ +17 = 16 + 17 = 33, which is a rational number.

Step: 4

The value of

$c$ +

$d$ =

$17$ + 64 = 64 +

$17$ , which is an irrational number.

Correct Answer is :

$c$ +

$d$

Solved Examples and Worksheet for Finding the Sum of Rational and Irrational Numbers

Related Worksheet

Related Topic

HighSchool Math