Students often refer to Kerala State Syllabus SCERT Class 5 Maths Solutions and Class 5 Maths Chapter 7 Measure Math Questions and Answers Notes Pdf to clear their doubts.
SCERT Class 5 Maths Chapter 7 Solutions Measure Math
Class 5 Maths Chapter 7 Measure Math Questions and Answers Kerala State Syllabus
Measure Math Class 5 Questions and Answers Kerala Syllabus
Question 1.
How do we write 1.75 metres in fractional form? How many metres and centimetres is this? How much is it in centimetre alone?
Answer:
In fractional form,
1.75metres = 1 \(\frac{75}{100}\) metres.
It is 1 metre and 75 centimetres.
1 metre = 100 centimetres
So, 1.75 metres is 1 metre and 75 centimetres, which is 175 centimetres.
Question 2.
How do we write 0.38 metres in fractional form? How many centimetres is this?
Answer:
In fractional form,
0.38 metres = \(\frac{38}{100}\) metres 100
1 metre =100 centimetres
0.38 metres = \(\frac{38}{100}\) metres = 38 centimetres
Question 3.
i) How do we write 3.275 kilograms in fractional form?
ii) How do we write this in kilograms and grams?
iii) How do we write this in grams alone?
Answer:
i) 3.275 kilograms = 3 \(\frac{275}{1000}\) kilograms
ii) 3 kilograms and 275 grams
iii) 1 kilogram = 1000 grams
So, 3 kilograms = 3000 grams
∴ 3.275 kilograms = 3275 grams.
Question 4.
Complete the table below:
Answer:
| Decimal form | Using fractions | Without fractions |
| 7.3 centimetres | 7\(\frac{3}{10}\) centimetres | 7 centimetres, 3 millimetres = 73 millimetres |
| 3.5 centimetres | 3 \(\frac{5}{10}\) centimetres | 3 centimetres, 5 millimetres = 35 millimetres |
| 0.7 centimetres | \(\frac{7}{10}\)centimetres | 0 centimetres, 7 millimetres = 7 millimetres |
| 5.42 metres | 5 \(\frac{42}{100}\) metres | 5 metres, 42 centimetres =542 centimetres |
| 10.27 metres | 10 \(\frac{27}{100}\) metres | 10 metres, 27 centimetres = 1027 centimetres |
| 6.875 kilograms | 6\(\frac{875}{1000}\) kilograms | 6 kilograms, 875 grams = 6875 grams |
| 0.432 kilograms | \(\frac{432}{1000}\) kilograms | 0 kilograms, 432 grams = 432 grams |
| 3.425 litres | 3\(\frac{425}{1000}\) litres | 3 litres, 425 millilitres = 3425 millilitres |
| 5.763 litres | 5\(\frac{763}{1000}\) litres | 5 litres, 763 millilitres = 5763 millilitres |
Intext Questions And Answers
Question 1.
Consider the following picture :
Answer:
7 centimetres and 3 millimetres.
That is, the length of the pencil = 7\(\frac{3}{10}\) centimetres or 7.3 centimetres.
Question 2.
Complete the following table:
Answer:
If the length of an object is just 8 centimetres, it has only whole number part and has no fractional part. So, we write it in decimal form as 8.0 centimetres.
If the length of an object is less than a centimetre, for example 6 millimetre, which means centimetres. It has no whole number part and is just a fraction. So, we can write it in decimal form as 0.6 centimetres.
Question 3.
Write the measurements in the following table in fractional form and decimal form.
Answer:
Question 4.
Convert 1.25 metres into centimetres.
Answer:
1.25 metres = 1 \(\frac{25}{100}\) metres 100
1 metre = 100 centimetres
1 centimetre = \(\frac{1}{100}\) metres
So, \(\frac{25}{100}\) metres = 25 centimetre
Hence, 1.25 metres = 125 centimetres.
Question 5.
Convert 7.125 kilogram into grams.
Answer:
7.125 kilograms = 7\(\frac{125}{1000}\) kilograms
1 kilogram = 1000 grams
∴ 7 kilograms = 7000 grams
1 gram = \(\frac{1}{1000}\) kilograms
So, kilograms =125 grams
Hence, 7.125 kilograms = 7125 grams.
Question 6.
Convert 2.25 litres into millilitres.
Answer:
1 litre = 1000 millilitres
So, 2 litres = 2000 millilitres
1 millilitre = \(\frac{1}{1000}\) litres
∴ \(\frac{25}{100}=\frac{250}{1000}\) litres = 250 millilitres
Hence, 2.25 litres = 2250 millilitres
Class 5 Maths Chapter 7 Kerala Syllabus Measure Math Questions and Answers
Question 1.
Fill in the blanks:
- 200 grams = ________ Kilogram
- 0.850 kilograms = ________ Grams
- 4063 millilitres = ________ litres
- 5006 millilitres = ________ Litres
- 5006 metres = ________ Kilometres
- 3000 centimetres = ________ metres
- 888 grams = ________ kilograms
Answer:
- 200 grams = 0.2 Kilogram
- 0.850 kilograms = 850 Grams
- 4063 millilitres = \(\frac{4063}{1000}\) = 4.063 litres
- 5006 millilitres = \(\frac{5006}{1000}\) = 5.006 Litres
- 5006 metres = \(\frac{5006}{1000}\) = 5.006 Kilometres
- 3000 centimetres = \(\frac{3000}{1000}\) = 3 metres
- 888 grams = \(\frac{888}{1000}\) = 0.888 kilograms
Question 2.
Tick (✓) the correct ones:
(i) 3 litres is equal to –
a) 1000 millilitres
b) 2000 millilitres
c) 3000 millilitres
d) 6000 millilitres
Answer:
3000 millilitres
(ii) 3 litres 250 millilitres is equal to –
a) 8050 millilitres
b) 3250 millilitres
c) 3000 millilitres
d) 1250 millilitres
Answer:
3250 millilitres
(iii) 7000 grams is equal to –
a) 7 kilograms
b) 8 kilograms
c) 3 kilograms
d) 2 kilograms
Answer:
7 kilograms
(iv) 8 metres is equal to –
a) 200 centimetres
b) 600 centimetres
c) 700 centimetres
d) 800 centimetres
Answer:
800 centimetres
Question 3.
State ‘T’ for True and ‘F’ for False:
i) 33 metres 50 centimetres is equal to 3350 centimetres.
Answer:
True
ii) 5 kilograms 250 grams is equal to 2300 grams.
Answer:
False
iii) 8150 millilitres is equal to 8050 millilitres.
Answer:
False
iv) 4000 millilitres is equal to 4 litres.
Answer:
True
v) 7 kilograms is equal to 8000 grams.
Answer:
False
Question 4.
Complete the following table.
| Measure | Fractional form | Decimal form |
| 25 kilometres 836 metres | _____ kilometres | kilometres |
| 9 litres 375 millilitres | ______ litres | litres |
| 13 metres 38 centimetres | _______ metres | metres |
| 2 kilograms 800 grams | _____ kilograms | kilograms |
| 12 centimetres 3 millimetres | _____ centimetres | _____ centimetres |
| 525 millilitres | ______ litres | _______ litres |
| 250 grams | _______ kilograms | ________kilograms |
Answer:
| Measure | Fractional form | Decimal form |
| 25 kilometres 836 metres | 2 \(\frac{836}{1000}\) kilometres | 25.836 kilometres |
| 9 litres 375 millilitres | 9 \(\frac{375}{1000}\) litres 1000 | 9.375 litres |
| 13 metres 38 centimetres | 13 \(\frac{38}{100}\)metres 100 | 13.38 metres |
| 2 kilograms 800 grams | 2 \(\frac{800}{1000}\)kilograms | 2.8 kilograms |
| 12 centimetres 3 millimetres | 12\(\frac{3}{10}\) centimeters 10 | 12.3 centimeters |
| 525 millilitres | \(\frac{525}{1000}\) litres | 0.525 liters |
| 250 grams | \(\frac{250}{1000}\) kilograms | 0.25 kilograms |
Class 5 Maths Chapter 7 Notes Kerala Syllabus Measure Math
What is Measurement?
Understanding measurement helps us make sense of the world and is essential for everyday activities. Measurement in math involves determining the length, weight, and volume of an object.
Length:
The length of an object can be measured using a scale or a tape, depending on the size of the object. Units of measurement of length are millimetre, centimetre, meter, kilometre, etc. Also, we can convert the length from one unit to another.
Weight:
The weight of an object can be measured using scales and balances. Units of measurement of weight are gram, kilogram, etc. Also, we can convert the weight from one unit to another.
Volume:
The volume of an object can be measured using measuring cups and containers. Units of measurement of volume are millilitre, litre, etc. Also, we can convert the volume from one unit to another.
Measurement is everywhere, and by the end of this chapter, you’ll be equipped with the skills to measure confidently in all sorts of situations. Measurement is not only fundamental in math but also in daily life.
By mastering these concepts, you’ll be better prepared to tackle practical challenges and understand the world around you.
Fractional Lengths
We know that,
1 centimetre = 10 millimetres
i. e, a millimetre is one part of a centimetre divided into 10 equal parts.
In other words, 1 millimetre is \(\frac{1}{10}\) of 1 centimetre.
1 millimetre = \(\frac{1}{10}\) centimetre.
Different Measures
To measure large lengths such as length of a bench, room etc. it is more convenient to use a metre scale or tape.
1 metre = 100 centimetre
So, 1 centimetre = \(\frac{1}{100}\) metres
Also, 1 metre = 1000 millimetres
Suppose, the length of a table is found to be 1 metre, 25 centimetres and 4 millimetres.
25 centimetres means 250 millimetres. So, 25 centimetres and 4 millimetres is equal to 254 millimetres, which is \(\frac{254}{1000}\) metres or in decimal form as 1.254 metres.
This can be done for another measures also.
- 1 litre = 1000 millilitre
- 1 millilitre = \(\frac{1}{1000}\) litre
So, 2 litre and 125 millilitre can be written in fractional form as 2 \(\frac{125}{1000}\) litre and in decimal form as 2.125 litres.
Similarly,
- 1 Kilogram = 1000 gram
- 1 gram = \(\frac{1}{1000}\) kilogram
So, 5 kilogram and 375 gram can be written as 5\(\frac{375}{1000}\) kilogram and in decimal form it can be written as 5.375 kilogram.
- 1 centimetre =10 millimetres
1 millimetre = \(\frac{1}{10}\) centimetre. - 1 metre =100 centimetre
1 centimetre = \(\frac{1}{100}\) metres - 1 metre = 1000 millimetres
1 millimetre = \(\frac{1}{1000}\) metres - 1 litre = 1000 millilitre
1 millilitre = \(\frac{1}{1000}\) litre - 1 Kilogram = 1000 gram 1 gram = \(\frac{1}{1000}\) kilogram