Summary

This document covers the topic of tenths and hundredths, including questions to practice measurement. It includes conversions between centimetres and millimetres.

Full Transcript

10 Tenths and Hundredths What was the length of the smallest pencil you have used? How long is this pencil ? Guess _______ cm Measure it using a scale. How good is your guess? We can see that Anju used a lens to make it look bigger....

10 Tenths and Hundredths What was the length of the smallest pencil you have used? How long is this pencil ? Guess _______ cm Measure it using a scale. How good is your guess? We can see that Anju used a lens to make it look bigger. It is more than 3 centimetres. 1 2 3 4 5 6 7 8 9 10 3 4 10 r e has is et rt c e ntim ach pa re. e e t e on. So time e is Her l parts f a cen etr. Oh, so this pencil is 3 u a o t i m e q t h e n m) n e -ten of a c tre (m centimetres and o th me 6 millimetres long. n e -ten ne milli O ed o call See I am 3 mm long! ng er! o a a m l th of tI n or Bu en-te etre res 1 2 3 v t 1 2 Se entim llime c m i 1 2 3 4 _ __ 1 2 _ We also call one-tenth of a centimetre as 0.1 centimetre. We read it as ‘zero point one centimetre’. So one millimetre is the same as 0.1 cm. 134 Reprint 2024-25 h What is the length of this pencil? _______ mm. 1 2 3 4 What is its length in centimetres? 1 2 Frogs Have you seen frogs? Where? How many different types of frogs have you seen? Are all the frogs of the same length? Here are two interesting examples. Gold Frogs Bull Frog This kind of frog is among But this is among the biggest frogs. the smallest in the world. Its It is as long as 30.5 cm! length is only 0.9 cm ! Guess how many such frogs can sit on your little finger! What does 0.9 cm mean? It is the same as ____ millimetres. We can also say this is nine-tenths of a cm. Right? So 30.5 cm is the same as ____ cm and ____ millimetre. About how many of the big frogs will fit on the 1m scale? _______ If they sit in a straight line about how many of the small frogs will cover 1m? _______ Practice time 1) Length of the nail is 2 cm and ___ mm 1 2 3 4 5 or 2. ___ cm. 2 3 135 Reprint 2024-25 2) 1 2 3 4 5 6 7 8 9 10 The length of this lady's finger (bhindi) is _____ cm and _____ mm. We can also write it as ______ cm. 3) Using the scale on this page find the difference in length between candle 1 and candle 3. Length of Length in cm Length in cm and mm Candle 1 Candle 3 Flame 1 Candle 2 Candle 2 Candle 1 Flame 2 Candle 3 Flame 3 Guess and Colour First colour the rods as shown, without measuring! Then check. Rods of length less than 1 cm Red Rods of length between1 cm and 2 cm Blue Rods of length between 2 cm and 3 cm Green Rods of length between 3 cm and 4 cm Orange 136 Reprint 2024-25 Guess, Draw and Measure Guess the lengths to draw these things. Ask your friend to draw the same. After you make the drawing use a scale to measure the length. Whose drawing showed a better guess? Guess its length Measure of Measure of your and draw your drawing friend's drawing An ant of length less than 1 cm Pencil of length about 7 cm A glass 11 cm high with water up to 5 cm A bangle of perimeter 20 cm A curly hair of length 16 cm Our Eyes Get Confused? Which line is longer? A or B ? Measure each line and write how long it is in centimetres. How good is your guess? A B C Which line is longer? C or D ? Measure each line. How good is your guess? D 137 Reprint 2024-25 Whose Tail is the Longest? Guess whose tail is the longest. Now measure the tails. How good is your guess? The Longest Rupee Notes? What is the length of a 100 rupee note? Guess. Now measure it using a scale. Now guess the length and width of many other things. Measure and find the difference between your measure and your guess. Size of Your guess in cm Your measure in cm length width length width 100 Rupee note 10 Rupee note 20 Rupee note 5 Rupee note Post card Math-Magic book At the market ` 2.50 for one egg `6.5 ` 120.50 0.75 `0.50 `8 ` 567.25 99 ` 32. 138 Reprint 2024-25 ly to fool funny pric e! 32 This is on ing 1 One paisa is one is w Lo o k a t t h if we us by sho ! paise! But hundredth of a rupee s a n d 9 9 y don’t giv e paisa less rupee, isn’t it? u p e e s t h e give 33 r e paisa! It is written as us back on Rupee 0.01. So that is why we write 99 paise as Rupee 0.99 What part of a rupee is 1 paisa? 1) How many paise does a matchbox cost? ______ 2) How many matchboxes can be got for ` 2.50? ______ 3) How many rupees does the soap cost? ______ 4) Arun wanted to buy a soap. He has a five-rupee coin, 2 one-rupee coins and 4 half-rupee coins. Write in rupees what money he will get back. Kannan, take rupees 60 5 a) An egg costs two and a half and buy one and half dozen eggs. You can buy pens rupees. How much will one and a with the money left. half dozen cost? b) How many pens can Kannan buy? How much money is left? Can I buy two pens with rupees 13? 6) The price of two pens is ` _____. Can she buy two pens? 139 Reprint 2024-25 Practice time — Match these Match each yellow box with one green and one pink box. Rupee 1 5 paise Rupee 0.75 2 Rupee 1 25 paise Rupee 0.50 10 Rupee 5 99 paise Rupee 0.05 100 Rupee 3 50 paise Rupee 0.10 4 Rupee 99 75 paise Rupee 0.25 100 Rupee 1 10 paise Rupee 0.99 4 Colourful Design What part of this sheet is coloured blue? ___/10 What part of the sheet is green? _____ Which colour covers 0.2 of the sheet?.1 e strip is 0 Oh, the blu et. of the she Now look at the second sheet. Each strip is divided into 10 equal boxes. How many boxes are there in all? Is each box 1/100 part of the sheet? How many blue boxes are there? _____ Is blue equal to 10/100 of the sheet? We saw that blue is also equal to 1/10 of the sheet. We wrote it as 0.1 of the sheet. 140 Reprint 2024-25 Can we say 10/100 = 1/10 = 0.10 = 0.1? Think: Can we write ten paise as 0.1 of a rupee? How many boxes are red? What part of the sheet is this? 15/____ Can we also write it as 0.15 of the sheet ? Don't get confused! (Hint: remember we wrote 99 paise as 0.99 rupee!) 0.10 is the same as 0.1 Remember, this is Now 3/100 of the sheet is black. We can say 0.____ sheet is black. Rupee 0.50 and also Rupee 0.5 How many white boxes are there in the sheet? What part of the second sheet is white? ____ ❈ Make your designs. Make a nice design by colouring Use four colours. Each colour 0.45 part of this square red. should cover 0.05 of this square. Sports Day The school at Malappuram has its sports day. Teena 3.50 m The first five children in the Long Jump are: Meena 4.05 m Rehana 4.50 m Anu 3.05 m Amina 3.35 m Teena jumped 3.50m But how far did Anu which is 3 m and 50 cm. jump? ___ m and ___ cm Who is the winner in the long jump? ______ 141 Reprint 2024-25 Write the names of the I, II and III winners on this stand. Do you remember that 1 metre = 100 centimetres? So one centimetre is 1/100 of a metre. We also write 1 cm as _______ m Write in Metres 3 metre 45 centimetre metres 99 centimetre metres 1 metre and 5 centimetre metres How Big Can You Get A) After breathing out 1.52 m On taking a deep breath 1.82 m Difference in size Do this for yourself and find the difference. B) You have to grow 45 cm more to reach 2 m height What is Dinesh’s height in metres? _____ m _____ cm. 142 Reprint 2024-25 Practice time 1) Currency from different countries Have you seen any notes or coins used in any other country? Shivam Bank has a chart to show us how many Indian rupees we can get when we change the money of different countries. Country Money Changed into Indian Rupees Korea Won 0.04 Sri Lanka Rupee (LKR) 0.37 Nepal Rupee (NPR) 0.63 Hong Kong Dollar (HKD) 5.10 South Africa Rand 5.18 China Yuan 5.50 U.A.E. Dirham 10.80 U.S.A. Dollar 39.70 Germany Euro 58.30 England Pound 77.76 (This is the rate on 15-2-2008) A) The currency of which country will cost the most in Indian Rupees? B) Mithun’s uncle in America had sent him 10 USA dollars as a gift. Mithun used 350 rupees for a school trip. How much money was left with him? Children are not expected to carry out long multiplication involving decimals. Instead, encourage them to think in terms of currency. For example, 75 paise × 2 can be thought of as two 50 paisa coins and two 25 paisa coins. 143 Reprint 2024-25 C) 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? D) Leena’s aunty brought a present for her from China. It cost 30 Yuan. Find what it costs in Indian rupees. E) Astha wants some Hong Kong Dollars and Won. 1) How many Won can she change for ` 4? For ` 400? 2) How many Hong Kong Dollars can she change for ` 508? 2) Kiran went shopping with ` 200. Look at the bill. The shopkeeper forgot to put the point correctly in the prices. Put the point in the correct place and find out the total Item Quantity Price (Rupees) amount of the bill. Soap 1 1250 Green gram 1 kg 5025 Tea 250 gm 2725 Coconut Oil 1 Litre 6000 Total 3) Which city is cool? But in Rajasth an I live the tem where I live in Himachal. perature reaches 48º There the temperature Celsius. Here it is ve in winter is 2º Celsius. ry hot. One has to walk k Sometimes water in ilometres pipes freezes into ice. to get water. Children can be encouraged to look at temperatures (in degree Celsius or °C) of different cities in the newspaper and on TV. Without using the terms 'maximum' and 'minimum' this exercise will give them an idea that temperatures can be measured at two different times of the day. Only simple subtractions using decimals have been used here. They will also get familiar with the names of different capital cities and can do similar exercises for the capital cities of other countries. 144 Reprint 2024-25 The temperature in each city was noted at 3 pm on 16 January 2008. 1) Which place had the Srinagar highest temperature at 8.1°C 3 pm? Which place is Jaipur 23.2°C the coolest at that time? 2) How much higher is the Kolkata Guwahati temperature in Mumbai 26.6°C 24.8°C Bhopal from that in Srinagar? 25.9°C Mumbai 35.1°C Chennai Thiruvananthapuram 29.9°C 33.5°C 3) How many degrees will the temperature need to rise for it to reach 40º C in Thiruvananthapuram? City Temperature 4) How much lower is the temperature at 3 am of Kolkata from that in Chennai? Chennai 21.1 5) The temperature in these cities was Mumbai 19.0 also noted at 3 am on the same day. Th'puram 21.6 Look at the table and answer the questions. Kolkata 13.1 Bhopal 9.8 a) Which place had the lowest temperature at 3 am? Imagine Srinagar 1.3 yourself to be there and describe Guwahati 12.8 how it would feel. Jaipur 10.2 b) What is the difference between the temperatures at 3 pm and 3 am in Chennai? In Bhopal? 145 Reprint 2024-25

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