**Practice Questions on Rational Numbers for Class 8 :**

Here we are going to see some practice questions on practice questions on rational numbers for class 8.

**Question 1 :**

Fill in the blanks:

(i) −19/5 lies between the integers __________ and __________.

**Solution :**

The decimal value of -19/5 is -3.8

In number line -3.8 lies between -4 and -3

−19/5 lies between the integers -4 and -3

(ii) The rational number that is represented by 0.44 is __________.

**Solution :**

In order to convert 0.44 as rational number, we have to multiply both numerator and denominator by 100.

0.44 x (100/100) = 44/100

By reducing the fraction 44/100, we get

= 11/25

(iii) The standard form of + 58/(-78) is _________

**Solution :**

By simplifying 58/(-78), we get

= -29/39

(iv) The value of (-5/12) + (7/15) =

**Solution :**

L.C.M of (12, 15) = 60

= [-5(5) + 7(4)]/60

= (-25 + 28)/60

= 3/60

= 1/20

(v) The value of

is

**Solution :**

= (-15/23) x (-46/30)

By canceling 23 and 46, we get 2. In the same way by cancelling 15 and 30, we get 2.

= 1

**Question 2 :**

Say True or False:

(i) 0 is the smallest rational number.

**Solution :**

Any number which is in the form of p / q , where p, q are integers and q ≠ 0 are called Rational numbers.

Q = { p / q : p , q ∊ Z , q ≠ 0 }

According to the definition there are infinite numbers less than ' 0 ' and greater than ' 0 '. Hence, the given statement is False.

(ii) There are an unlimited number of rational numbers between 0 and 1.

**Solution :**

Some numbers between 0 and 1 are 0.1, ............, 0.11, ...........

Hence the there are infinite numbers of rational numbers between 0 and 1. Hence the given statement is true.

(iii) The rational number which does not have a reciprocal is 0.

**Solution :**

The reciprocal of 0 is 1/0.

1/0 = undefined

Hence 0, does not have reciprocal.

(iv) The only rational number which is its own reciprocal is –1.

**Solution :**

Reciprocal of -1 is 1/(-1)

= -1

Hence -1 is reciprocal of -1.

(v) The rational numbers that are equal to their additive inverses are 0 and–1.

The additive inverse of 0 is 0 and additive inverse of -1 is 1.

Hence the given statement is false.

After having gone through the stuff given above, we hope that the students would have understood, "Practice Questions on Rational Numbers for Class 8"

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Time and work word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**