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) Q~ . 1/.•·· Decimals • • / . • Mohit was cleaning his drawer and found a collection of wooden blocks. The table below shows fractions which represent different coloured blocks with respect to the total nun1ber of blocks. Which colour blocks does he have the most? Coa.t llack Orange led Yellow t~ N-.a~ 2 5 1 7 ----3 6 4 12 Now, write the above fractions in words. 1. Yellow 2. Red 3. Black 4. Orange .tZ'Y-?!i!.1:'· •• ' '' ' i,f L.;~rning Objectives .............................................................................................. ~ <!~ll . I have learned about different types of numbers such as natural numbers, whole numbers and integers. Today, I am going to learn about decimal numbers. In this chapter, you will learn abou • Decimal fractions and their place value table • Representation of decimals on the number line • Converting fractions into decimals and vice versa • Comparison of decimals • Application of decimals in real life • Addition and subtraction of decimals That is great, we use decimals every day while dealing with money, length, weight and capacity. Decimals are used in situations where an exact value is required rather than just the whole number. Let us now learn more about decimals and th~ir uses in our day-to-day life . 

•••••• • • • • •••••• • • • • ••••••• • • • ' '-,. 1111111 II I I II II I II It 11111111111111111111111111111111111111111111 \ ) ) / > ) '> \ ; 1 i • '\ .~, /_1 /J '-1 j I : , ,' -I MULTIPLE CHOICE QUESTIONS FLUENCY 1. Three 
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) Q~ . 1/.•·· Decimals • • / . • Mohit was cleaning his drawer and found a collection of wooden blocks. The table below shows fractions which represent different coloured blocks with respect to the total nun1ber of blocks. Which colour blocks does he have the most? Coa.t llack Orange led Yellow t~ N-.a~ 2 5 1 7 ----3 6 4 12 Now, write the above fractions in words. 1. Yellow 2. Red 3. Black 4. Orange .tZ'Y-?!i!.1:'· •• ' '' ' i,f L.;~rning Objectives .............................................................................................. ~ <!~ll . I have learned about different types of numbers such as natural numbers, whole numbers and integers. Today, I am going to learn about decimal numbers. In this chapter, you will learn abou • Decimal fractions and their place value table • Representation of decimals on the number line • Converting fractions into decimals and vice versa • Comparison of decimals • Application of decimals in real life • Addition and subtraction of decimals That is great, we use decimals every day while dealing with money, length, weight and capacity. Decimals are used in situations where an exact value is required rather than just the whole number. Let us now learn more about decimals and th~ir uses in our day-to-day life . 

•••••• • • • • •••••• • • • • ••••••• • • • ' '-,. 1111111 II I I II II I II It 11111111111111111111111111111111111111111111 \ ) ) / > ) '> \ ; 1 i • '\ .~, /_1 /J '-1 j I : , ,' -I MULTIPLE CHOICE QUESTIONS FLUENCY 1. Three tens and 3 tenths is: a. 30.3 b. 3.03 c. 303 d. none of these 2. The place value of 5 in I 5.82 is: a. hundredths b. tenths c. tens d. ones 3. Between which two whole numbers on the number line does number 0.6 lie? a. 1 and 2 b. 0 and I c. 2 and 3 d. -1 and 0 4. Three hundred four and five hundredths is: a. 30.8 b. 30. l c. 304.05 d. 304.50 5. Which side of the place value chart has been expanded to include fractions? a. Left b. Right c. Neither left nor right d. Both left and right 6. Which among the following decimals is not equal to 6.8? a. 06.08 b. 6.800 c. 6.80 d. 6.8000 9 7. 800 + 30 + 6 + 100 can be written in decimal form as: a. 8.639 b. 83.69 c. 836.9 d. 836.09 8. 8.9 = 8+ []· Find the missing number. a. I 00 b. I 000 c. I 0 d. l 9. The sum of two num hers is 4 2. I 3 2. If one of them is 2 2. 6 7, what is the other num her? a. 20.462 b. 19.461 c. 64.802 d. 19.462 10. Convert 0.3 7 5 into a fraction in its simplest form. a. ! b. ~ SUBJECTIVE QUESTIONS I. Write these numbers in words. a. 3578.823 b. 94.3 245 2. Observe the number line. A D B D C D ! ! ! ! ! ! •I I I I I I I I I I I I I I I I I I I I I • 0 i i I i i i 2 X y D z D a. Fill in the missing decimal numbers. b. Fill in the decimal values of the letters X, Y and Z. c. Write the decimal values of the letters A, B, C and D. c. 3 7 3 d. 6 PROBLEM-SOLVING c. 6727 .223 3. Complete the following statements by filling in the boxes. c. 53.03 -□ = 15.57 a. 7. 5 3 4 -D = 3. 3 7 4 b. □ -7. 6 2 5 = 3 7. I 7 5 d. 562.7 56 -234.534 = □ • 

.-.... ... ~ ~ _ __,,, • 111111111111111111111111111111111• , • "'-'" 11111111111111 I / ·-' 111111111111111111111111 ~1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 4. Find the missing decimal numbers. a. 49.054 + □ + 0.006 = 49.39 c. □ + I0.732 + 45 = 56.662 5. Fill in the blanks. b. 4 7. 4 3 + 7. l I 4 + 5. 9 == □ □-500.18 d. 390.78 + 50.4 + -m-... m b 94 mm= ........... .. . cm+ ......... . ... cm = • · · · · · · · · • • · · cm a. I 55 an= l m + ............. -........ .. 6749 m = 6 km+ ............. km= ............. km . . 2 6 4 and 9 once. c. . . . number less than I using the digits ' ' 6. Write the greatest four-digit deomal d • al umber 7. Read the clues and identify the earn n • • There is 4 in the tenths place. . . . the tenths place. Th di ·t in the hundredths place is double the digit m • e gi . half th di it in the tenths place. • The digit in the thousandths place is e g • The digit in the ones place is 9. REASONING 8. The teacher asked students to represent 2.2 on a number line. Govind quickly represented the number between I and 2 on the number line. ,( I I I I I I I f I I I I ► ~ ~ ~ ~ ~ O 1 2 3 4 5 Kiran represented the number between 2 and 3. I -5 I -4 -3 -2 -1 0 Who has represented the number correctly? 1 ~t 3 4 5 2.2 9. Mithun, Sarun, Sanoj and Moni participated in a swimming competition. Their times were recorded as 23.67, 23.76, 23.64 and 24.67 seconds, respectively. Who won the race? 10. Hima ran a distance of 3.75 miles on Saturday as a part of her morning workout. On Sunday, she ran 4.89 miles. How many miles in all did Hima run over the weekend? 11. A I-year subscription of a science magazine costs f2898.08. If you were to buy 12 issues of the same magazine from a news stand for a year, you would end up spending f5708.44. How much money will you save? ANALYSIS & CREATING 12. Think of examples where decimal numbers are used. Make up a story using decimal numbers. 13. Let one block be divided into 10 equal parts. This means that each part is one-tenth of . . . 0.1 in decimal form. Of one block is divided into I 00 equal parts, it means th h a ~t. It can be written as a unit. at eac part 1s one-hundredth of There are four towers made of 10 blocks each representing 4 tens, one block re . block representing 3 tenths. presentmg ones and three parts of a • Represent this number in the place value table. ' • Represent it pictorially. • • • • • ..

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