Tenths and Hundredths Class 5 Notes: CBSE Maths Chapter 10

Measurement of Length 

• The longest extent of anything measured from one end to another is called length. 

• Small length is measured in centimetres(cm),  millimetres(mm) and Decimeter (dcm) .

• Large distances are measured in metres (m) and Kilometres (km) Decameter (dm) and Hectometer(hm). 

• The standard unit of length is the metre and in short, it is written as ‘m’.

• To get Centimetre we have to divide 1 m length into 100 equal divisions and thus each division is known as a centimetre and it is written as ‘cm’. Therefore 100 cm = 1 m.

• Large distances are usually measured in kilometres. When we divide 1 km length into 1000 equal divisions and each division is termed a metre. Therefore 1000 m = 1 km. For example, we could say that Riya walks 1km every day to reach school or we could say that Riya walks 1000 m every day to reach school. 

Unit of the Length Conversion Table  

Image: Unit of length conversion 

• Observe the above-mentioned conversion table. It is clear that when we move from one metric unit to another to the right, the value of the metric unit becomes ten times smaller, which is one-tenth. 

• When we move from one metric unit to another to the left in the metric chart, the value of the metric unit becomes ten times bigger.

• From the length conversion chart, different units of lengths and their equivalents are given below : 

• 1 m = 10 dm = 1000 mm = 100 cm 

• 1 dm = 10 cm 

• 1 dm = 0.1 m 1 cm = 0.01 m

• 1 mm = 0.001 m 

• 1 km = 10 hm = 1000 m 

• 1 hm = 10 dam = 100 m 

• 1 dam = 10 m

Solved Question 1: What does 0.9 cm me and convert the value into millimetres. 

Ans: We know that 1 m = 100 cm 

1 cm has 10 equal parts and each part is equal to one-tenth of a centimetre. 

1 millimetre is nothing but one-tenth of a centimetre. 

1 mm = 1/10 cm = 0.1 cm 

Hence 0.9 cm is the same as 9 millimetres.

Solved Question 2: The school at Malappuram has its sports day. Teena jumped 3.50 m, Meena jumped 4.05 m, Rehana jumped 4.50 m, Anu jumped 3.05 m and Amina jumped 3.35 m. How far had everyone jumped in terms of metres and cm 

Ans: We know that 1 m = 100 cm 

So we can write the numbers again as 

Teena jumped 3 metres and 50 centimetres

Meena jumped 4 metres and 5 centimetres

Rehana jumped 4 metres and 50 centimetres

Anu jumped 3 metres and 5 centimetres

Amina jumped 3 metres and 35 centimetres. 

Solved Question 3. Rewrite the following values in metres. 

3 metre 45 centimetre , 99 centimetre and 1 metre and 5 centimetre

Ans : We know that 1 m = 100 cm

1 cm = 0.01 m and 1 mm = 0.001 m 

Now the following values can be rewritten in metres as 

3 metre 45 centimetre = 3.45 m

99 centimetre = 0.99 m

1 metre and 5 centimetre = 1.05 m

Solved  Question 4. Dinesh’s mother while measuring his height said that he has to grow 45 cm more to reach 2 m height. What is Dinesh’s height in metres? 

Answer:  From the question, we can say that to reach 2 m height, Dinesh has to grow 45 cm more

Dinesh's height = 2 m - 45 cm 

We know that 1 m = 100 cm, hence

Dinesh's height = 200 cm - 45 cm  = 155 cm 

Hence, Dinesh height is 155 cm =  1 m 55 cm 

Measurement of the Capacity of the Objects.

• Capacity is defined as the amount of liquid a container can hold and there are different units to measure the same. 

• The standard unit for measuring the capacity of anything is a litre. Litre in short is written as L.

• Millilitre(mL), Centilitre(cL), deciliter (dal), Decilitre(d), Hectolitre (hl) and Kilolitre (kL)  are the other units of measurement of capacity.             

• Large quantities of liquid are usually measured in terms of Litres. For example, water-filled in a bucket will be more than a litre.

• Small quantities of liquid are measured in millilitres (mL). For example, If we have to measure the amount of coffee present in a cup or the amount of water present in a small bottle. 

Measurement Units of Capacity Related To Each Other in a Place Value System. 

Image: Place value system for units of capacity 

• The concept of a place value system for capacity is very similar to length conversion. 

• As L is the basic unit of measurement of capacity, all the other metric units are derived from L. It is clear that when we move from one metric unit to another to the left, the value of the metric units becomes ten times bigger. 

• Similarly, when we move from one metric unit to another to the right, the value becomes ten times smaller. The table given below has summarised the same. 

Solved Question 1. A water tank had a total capacity of 2500 Litres of water. During the daytime, 950 L 350 mL of water is pumped out of the tank. How much amount of water is left in the tank? 

Ans: From the given information we can say that 

The total capacity of the tank = 2500 Litres

Total water pumped out during the daytime = 950 L 350 mL, 

Therefore, water left in the tank = 2500 L - 950 L 350 mL = 1549  L= 65 mL 

Solved question 2. The quantity in one Dettol hand sanitiser bottle is 500 mL. What is the quantity present in 12 dozen such bottles? 

Ans: One Dettol hand sanitiser bottle contains 500 mL 

We know that a dozen is nothing but a group or set of twelve. 

Therefore 12 x 12 bottles contains Dettol hand sanitizer= 500 mL x 12 x 12 

= 500 mL x 144 

= 72000 mL or 72 litres. 

Therefore a dozen of Dettol hand sanitisers have a total of 72 litres worth of hand sanitiser liquid in them. 

What is Money?

• Money is anything that helps in buying people goods and services. Money is a very important part of everyone’s daily life. Money is also called currency. 

• There are many countries in the world and every country has their currency. 

• There is a certain value that is linked with every currency and this value differs from one country to another. For example, the value of money in India will not be the same as in Srilanka.

• The currency of India is the Indian rupee denoted by the symbol ₹. 

• According to the Indian Currency. 

• 1₹ = 100 paisa

• 1 paisa = (1/100 ) rupee = 0.01 rupee 

Temperature 

• A certain degree of hotness or coldness of a body is temperature. 

• Degrees are the units which are used to measure temperature. Degrees Celsius which is represented by °C and degrees Fahrenheit which is represented by °F are a few of the different temperature scales. 

• With the help of a thermometer, the temperature of an object is measured. 

• The Fahrenheit scale ranges from 32 ° F  to 212 ° F. Water has a freezing point of 32 ° F and a boiling point of 212° F.

• The Celsius scale, also known as the centigrade scale, ranges from 0 to 100 ° C. The freezing point of water is 0° C, and the boiling point of water is 100° C.

Conversion of Temperature  

• The formula that is used to convert temperature when it  is given in degrees Celsius is, C = (F – 32) x 5/9

• The formula that is used to convert temperature when it  is given in degrees Fahrenheit is, F = 9/5 x C + 32

Practice Questions: 

1. Mithun’s uncle in America had sent him 10 US dollars as a gift. Mithun used 350 rupees for a school trip. How much money was left with him?
Ans 1:  Money which was used by Mithun for the school trip = 350 rupees 

Therefore the money left with Mithun = 764.9 - 350  = 414.9 

Hint: To solve this problem make sure you know you know the value of 1 US dollar in terms of Indian Rupees which is  1 US dollar = 76.49 Indian rupees. 

2. Majeed’s father is working in U.A.E. He gets 1000 Dirham as salary. Arun’s father who is working in Sri Lanka gets 2000 Sri Lankan Rupees. Who gets more Indian rupees as salary?
Ans 2:  Majeed’s father's salary in Indian rupees is 20,830 Indian rupees. 

The salary of Arun’s father in Indian rupees is 440 

Hint: To solve this problem we have to know the value of 1 UAE Dirham and 1 Sri Lankan rupee in terms of Indian rupees. 

1 UAE Dirham is equal to  20.83  Indian rupees

1 Sri Lankan rupee is equal to 0.22 Indian rupees

3. Convert 45 Celsius into Fahrenheit

Ans 3: 45 Celsius into Fahrenheit is 113 degrees 

Hint: To convert a temperature into Fahrenheit when it is given in Celsius we have to use the formula C = (F – 32) x 5/9

F = 113 degrees 

5 Important Topics of Class 5 Maths Chapter 10 Tenths and Hundredths

Here are 5 important topics covered in Class 5 Maths Chapter 10: Tenths and Hundredths:

1. Understanding Decimals: Learn what decimals are and how they are written, focusing on tenths and hundredths.

2. Place Value of Decimals: Understand the place value of digits in decimal numbers, such as tenths (0.1) and hundredths (0.01).

3. Converting Fractions to Decimals: Practice converting fractions into decimal form, especially those with denominators of 10 and 100.

4. Comparing and Ordering Decimals: Learn how to compare decimal numbers and arrange them in ascending or descending order.

5. Adding and Subtracting Decimals: Work on adding and subtracting decimal numbers, including exercises that involve tenths and hundredths.

Importance of Maths Chapter 10 Tenths and Hundredths Class 5 Notes

Tenths and Hundredths Class 5 Notes are important for building a strong mathematical foundation and for applying decimal concepts effectively in various situations.

• Foundation for Decimal Understanding: This chapter introduces the basics of decimal numbers, which are essential for understanding more advanced mathematical concepts. Mastering tenths and hundredths provides a solid foundation for working with decimals in future topics.

• Practical Applications: Decimals are used in everyday life, such as in money, measurements, and time. Understanding tenths and hundredths helps students solve real-world problems involving these concepts.

• Fractions to Decimals: Converting fractions to decimals and vice versa is a key skill. This chapter helps students make these conversions easily, which is important for solving a variety of mathematical problems.

• Mathematical Operations: Learning to add and subtract decimals is crucial for performing calculations accurately. This chapter provides practice in these operations, which is important for both academic and practical purposes.

• Comparing and Ordering: Knowing how to compare and order decimals helps students develop number sense and improves their ability to work with data and measurements.

Tips for Learning the Class 5 Maths Chapter 10 Tenths and Hundredths

Here are some tips for learning Class 5 Maths Chapter 10: Tenths and Hundredths:

1. Understand Decimal Basics: Start by getting a clear understanding of what tenths and hundredths are. Know that tenths are parts of a whole divided into 10 equal parts, and hundredths are parts divided into 100 equal parts.

2. Practice Place Value: Familiarize yourself with the place value of decimal numbers. Practice identifying and writing tenths and hundredths in decimal form to strengthen your understanding.

3. Use Visual Aids: Draw or use visual aids like grids or pie charts to see how tenths and hundredths fit into a whole. This helps in visualizing the concepts and making them easier to grasp.

4. Convert Fractions to Decimals: Practice converting simple fractions into decimal form, especially those with denominators of 10 and 100. This will help you understand the relationship between fractions and decimals.

5. Solve Problems Regularly: Work on various problems involving addition, subtraction, and comparison of decimal numbers. Regular practice will help you become more comfortable with these operations.

Conclusion

Chapter 10 of Class 5 Maths on Tenths and Hundredths is crucial for developing a strong understanding of decimal numbers. By grasping the concepts of tenths and hundredths, you lay the groundwork for more advanced mathematical topics and everyday problem-solving. The chapter covers essential skills such as recognising place values, converting fractions to decimals, and performing operations with decimal numbers. Through regular practice and applying the tips provided, you can master these concepts and enhance your overall mathematical abilities.

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