Students often refer to Kerala State Syllabus SCERT Class 5 Maths Solutions and Class 5 Maths Chapter 5 Part Number Questions and Answers Notes Pdf to clear their doubts.
SCERT Class 5 Maths Chapter 5 Solutions Part Number
Class 5 Maths Chapter 5 Part Number Questions and Answers Kerala State Syllabus
Part Number Class 5 Questions and Answers Kerala Syllabus
Now let’s try these on your own:
Question 1.
Draw a square with each side 3 centimetres. Mark off 1 centimeter from the left on the top and bottom sides, and join them.
i. What part of the square is the smaller rectangle?
Answer:
\(\frac{1}{3}\)
ii. And the larger?
Answer:
\(\frac{2}{3}\)
iii. Colour the \(\frac{1}{3}\) part with black and the \(\frac{2}{3}\) part with white.
Answer:
iv. Is there another way of dividing the square into \(\frac{1}{3}\) and \(\frac{2}{3}\) parts?
Answer:
Question 2.
Draw a rectangle like this:
Colour \(\frac{2}{3}\) of it with black and, \(\frac{1}{3}\) with white.
Answer:
Question 3.
The pictures below show a circle divided into eight equal parts and coloured two at a time: Describe the coloured part of each in two different ways and write both of them as fractions in the box below each picture.
Answer:
Question 4.
The pictures below show circles divided into twelve equal parts with some of the parts coloured:
Describe the coloured part of each in two different ways and write both of them as fractions in the box below each picture.
Answer:
Question 5.
Draw a square and divide it as shown below:
Colour \(\frac{1}{8}\) of the square with red, \(\frac{1}{4}\) with green and \(\frac{1}{2}\) with blue
i. Is there any part left uncoloured?
ii. What part of the whole square is it?
iii. Write it as a fraction.
Answer:
i. 1
ii. One eighth
iii. \(\frac{1}{8}\)
Question 6.
In each of the pictures below, find how much is coloured and write it as a fraction in the box on the right.
Answer:
Intext Questions And Answers
Question 1.
Any other way to split a square into halves?
Answer:
Question 2.
Let’s make a table of the different forms of ‘half ’ we’ve seen:
Answer:
Class 5 Maths Chapter 5 Notes Kerala Syllabus Part Number
If we filled one litre of milk in three bottles of the Same size, then how much would each the bottle contain? In this chapter we will discuss about it. Thus, each bottle Contain one third of a litre. The fractions used here can be stated mathematically as – litre. We can fill Six bottles of the Same Size with one litre of milk and take two bottles, or fill three bottles of the same size with one litre of milk and take one bottle. In either case, we get one third of a litre that is, \(\frac{2}{6}=\frac{1}{3}\)
Let’s examine it in more detail
Half Means
Half means one of two equal parts. We write it as \(\frac{1}{2}\)
\(\frac{1}{2}\) of a circle
Here, \(\frac{1}{2}\) of the circle is coloured as black and \(\frac{1}{2}\) as white.
Half of a meter is \(\frac{1}{2}\) meter.
Half a litre is \(\frac{1}{2}\) litre.
\(\frac{1}{2}\) of a square.
Here, are the two different ways of marking \(\frac{1}{2}\) of a square.
1. When a circle is divided into four equal parts.
Each part can be called as one-fourth of the circle and can be written as \(\frac{1}{4}\)
If we join two parts of the circle.
We can call it as two fourth of the circle, and can be written as \(\frac{2}{4}\) .
Here, we take two of four equal parts or one of two equal parts
That is, two fourth is the same as half.
In the language of maths,
\(\frac{2}{4}=\frac{1}{2}\)
2. If one metre long ribbon is cut into six equal pieces, each part is \(\frac{1}{6}\) metre long.
If we join three parts together.
We can call it a three sixth part of one metre, and it can be written as \(\frac{3}{6}\).
Thus, three sixth is also half.
In the language of maths,
\(\frac{3}{6}=\frac{1}{2}\)
Three Parts
1. If a one metre long ribbon is cut into three equal pieces, the length of each part is – metre.
When we put together two of the three equal pieces together, we call it two-third of one metre, and it can be written as \(\frac{2}{3}\).
Other Parts
1. When we divide one-metre ribbon into four equal parts and different numbers of pieces put together we get as follows:
Here,
\(\frac{1}{4}\) metre is called quarter metre
\(\frac{1}{2}\) metre is called half metre
\(\frac{3}{4}\) metre is called three quarters metre
One fourth is usually called a quarter and three fourths, three quarters.
2. Now divide the circle into six equal parts and three equal parts and put different numbers of parts together where we can see that;
Thus, two sixths is the same as one third i.e;
Thus, four sixths is the same as two third i.e;
The numbers like \(\frac{1}{2}, \frac{1}{3}, \frac{2}{3}, \frac{1}{4}, \frac{3}{4}\)……….. used to denote parts of a whole are called fractions.
Whole And Part
1. When we join one metre long ribbon and half of another one metre long ribbon end to end we get a one and a half metre long ribbon, which can be write as 1 metre.
Similarly, if we take two litres of milk and quarter of a litre together, which makes two and a quarter litres, and can be written as 2\(\frac{1}{4}\) litres.
1. We say half, one third, two third and so on in common language when we divide something into equal parts and take only some of the pieces.
2. Fractions are used to talk about these parts in the language of math
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{2}{3}\)
3. Fraction in different forms may be the same part:
\(\frac{2}{4}\) = \(\frac{1}{2}\)
\(\frac{2}{6}\) = \(\frac{1}{3}\)
\(\frac{4}{6}\) = \(\frac{2}{3}\)
4. One fourth is usually called a quarter and three fourths, three quarters.
5. The numbers like \(\frac{1}{2}, \frac{1}{3}, \frac{2}{3}, \frac{1}{4}, \frac{3}{4}\), ………….. used to denote parts of a whole are called fractions.