Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Rational Numbers
1. Solve the following and simplify to lowest term:
a.)
+
+
+
+
b.)
+
+
+
+
2. Find the difference between the greatest and the least numbers of
,
,
,
.
3. If the sum of both horizontal and the vertical rows is same, find the missing rational number.
4. Is
the multiplicative inverse of -1
? Why or why not ?
5. What is the multiplicative inverse of
?
6. Reduce the rational number
to the lowest form.
7. Name the property that is reflected in the following expression:
a.)
×
= 1 b.)
× 1 =
8. Find the following and simplify it to lowest term: a.)
×
×
b.)
×
×
9. Write the rational numbers that are equal to their reciprocals.
Choose correct answer(s) from the given choices:
10. Which of the following statements is false?
a. Every rational number is a fraction b. Any number, when divided by 10 is rational no.
c. Every fraction is a rational number d. Every negative number is a rational number
11. Which of the statements given below is false?
a. There is no fraction that cannot be represented as a rational number.
b. All the negative numbers can be represented as rational numbers.
c . A decimal number cannot be a rational number.
d. There is no integer that cannot be represented as a rational number.
12. Which of the following statements is true for a rational number
.
a. The denominator b cannot be 0 b. The numerator a can be a decimal number
c. The denominator b cannot be 1 d. The numerator a cannot be 1
13. -
is _____.
a. not a rational number b. a positive rational number
c. a negative rational number d. either positive or negative rational number
14. Which of the following are rational number(s)?
a. -7/15 b. -5/-13 c. 6/-13 d. All of these
Hg
Name: Class 8 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Answers:
1. a.
b.
2.
3.
4. No, as
, and its multiplicative inverse is
.
5.
6.
7. a. Multiplicative Inverse b. Multiplicative Identity
8. a.
b.
9. 1 and -1
10. a
11. c
12. a
13. a
14. d
