divide the product of 3.62 and 2.03 by 6 and find the quotient for uo to two decimal places
Answers
Answer:
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Step-by-step explanation:
A proper fraction is a fraction that represents a part of a whole.
An improper fraction is a combination of a whole and a proper fraction.
The first half of the chapter deals with the Multiplication of Fractions and the later part deals with the concept of Division of Fractions. Two fractions are multiplied by multiplying their numerators and denominators separately.
Multiplication of fractions is sub-divided into the following topics:
Multiplication of a fraction by a whole number
Multiplication of a fraction by a fraction
Before moving onto decimal numbers, the division of fractions is explained. This particular topic contains the following divisions:
Division of whole number by a fraction
Division of a fraction by a whole number
Division of a fraction by another fraction
The same operations are given for decimal numbers.
Multiplication of decimal numbers
Multiplication of decimal numbers by 10, 100, and 1000
Reciprocal of a fraction can be studied in this chapter wherein two non-zero numbers whose product with each other is 1 are called reciprocals of each other.
Division of decimal numbers
Division of decimal numbers by 10, 100, and 1000
Division of a decimal number by a whole number
Division of a decimal number by another decimal number
Understanding of the chapter is made easier as it contains various solved examples and a detailed explanation of every topic.
For quick revision, important points of the chapter are listed in the end.
Page No 31:
Question 1:
Solve:
(i) (ii) (iii)
(iv) (v) (vi)
(vii)
ANSWER:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
Page No 31:
Question 2:
Arrange the following in descending order:
(i) (ii)
ANSWER:
(i)
Changing them to like fractions, we obtain
Since 42>24>14,
(ii)
Changing them to like fractions, we obtain
As 49 > 30>14,
Page No 31:
Question 3:
In a “magic square”, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?
(Along the first row )
ANSWER:
Along the first row, sum =
Along the second row, sum =
Along the third row, sum =
Along the first column, sum =
Along the second column, sum =
Along the third column, sum =
Along the first diagonal, sum =
Along the second diagonal, sum =
Since the sum of the numbers in each row, in each column, and along the diagonals is the same, it is a magic square.
Page No 31:
Question 4:
A rectangular sheet of paper is cm long and cm wide.
Find its perimeter.
ANSWER:
Length =
Breadth =
Perimeter = 2 × (Length + Breadth)
Page No 31:
Question 5:
Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?
ANSWER:
(i) Perimeter of ΔABE = AB + BE + EA
(ii)
Perimeter of rectangle = 2 (Length + Breadth)
Perimeter of ΔABE =
Changing them to like fractions, we obtain
17720=177×320×3=53160476=47×106×10=47060
As 531 > 470,
⇒17720>476
Perimeter (ΔABE) > Perimeter (BCDE)
Page No 31:
Question 6:
Salil wants to put a picture in a frame. The picture is cm wide.
To fit in the frame the picture cannot be more thancm wide. How much should the picture be trimmed?
ANSWER:
Width of picture =
Required width =
Page No 32:
Question 7:
Ritu ate part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?
ANSWER:
Part of apple eaten by Ritu =
Part of apple eaten by Somu = 1 − Part of apple eaten by Ritu
=
Therefore, Somu ate part of the apple.
Since 3 > 2, Ritu had the larger share.
Difference between the 2 shares =
Therefore, Ritu’s share is larger than the share of Somu by.