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Features oF the Book GET READY!
Vishnu’s father wants to build a rainwater harvesting tank to collect rainwater for planting and house-
hold use.
To collect
1 want to build
rainwater, I
Rational Numbers an underground
cubical water
tank that should
hold at least
200 cu.m of
Learning Objectives water. There is a What will be Since the space is a square of area
space of 36 sq.m the 36 sq.m, the length and breadth of
After studying this chapter, students will be able to...
 define and identify rational numbers in the backyard. dimensions of space are 6 m each. If we keep it
Scan to learn Can we construct the tank? 6 m deep, then the capacity of the
it there? cubical tank would be 6 × 6 × 6 =
 represent rational numbers on a number line
216 cu.m > 200 cu.m. Thus, we can
easily construct the required tank.
 find out infinite rational numbers between any two given rational numbers
 perform basic operations on rational numbers
 understand the properties of rational numbers and use general form of expression to describe them
 solve word problems based on real-life situations involving rational numbers
Learning Objectives—at the
beginning of each chapter to
set the goals of study. Get Ready—for
quick and easy
recapitulation
through Maths talk.
Think and Answer—
interspersed within the Get it Right— Get it right!
text for checking the for avoiding the
understanding of the common errors 16x − 12
2
concept learnt in the committed l 4x = 4x – 12
class. by learners 2 4x − 3 3
2
while doing 16x − 12 44 ( x − 3) = = 4x −
2
calculations. l 4x = 4x x x
Think and Answer
A financial counsellor gave a client this pie chart describing
how to budget his income. If the client brings home `80,000
each month, how much should he spend in each category?
1 5% 18° Monthly budget
20 Brain Sizzlers
metre stick into a (× 4 3 ) stretching machine, you will get a 320 metre stick and a shrinking machine where
10% Rent and food 1. Suppose if you have a stretching machine which could stretch almost anything. For example, if you put a 5
Saving a piece of stick is compressed to reduce its length by (÷ 3 4 ). If 54 cm long sandwich is put into the (× 4 3 )
30% Loan EMIs stretching machine, and then (÷3 4 ) shrinking machine, how long (in cm) will it be when it emerges?
Utilities Brain Sizzlers— 25
a
Phone and internet 2. If 125 = 3125 b , then what is the value of 6a + 10b?
90° 1 Clothing to focus on 21st
5 Century skills in
Entertainment
teaching, learning
and assessment.
Knowledge Desk—
includes additional
interesting information/ Knowledge Desk
Activity—to engage children in facts based on the The Cartesian plane was introduced
mathematical discussion and topics discussed by French mathematician Rene
activities to establish a learning Descartes (1596-1650) after he
environment of fun and enjoyment. noticed a fly on the ceiling while
lying in bed. He determined that the
fly’s position could be characterised
by its left and right positions as well Rene Descartes
(1596–1650)
T o characterise the position of the fly, he created
activity as its up and down positions.
the figure. the x-y coordinate system, which is now referred
l Take a white sheet of paper and fold it once. Cut out a shape as shown in
to as the cartesian plane.
l You will get a shape as of a kite. Now, fold both the diagonals of the kite.
Use a set-square to check whether the diagonals cut at right angles. By
folding an angle of the kite on its opposite, check whether the angles are
of equal measure, and also check for the diagonals as the angle bisectors.