Decimals Topic 1: Place value

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Topic : Place value QUESTION Write the following decimal numbers in expanded form. Hund- reds Tens U nits. Tenths Hundreths Thousandths a. 8 b. 6 c 8. 7 d. 8 9 e 7. 0 0 f 0 9. 0 6 QUESTION Write the following as decimal numbers. a five-tenths = b three-hundreths = c nine and five-hundreths = d five hundred and sixteen and two-thousandths = e + 7-tenths + -hundreths QUESTION Write the following in expanded form. a.68 = b.0 = c 0.7 = QUESTION Write the following in decimal form. a + = b + + 8 + = 0 c 6 0 + + + + 7 QUESTION Write the next three terms to complete the following. a 0., 0., 0.,,, 00 b 0., 0., 0.6,,, c 0.0, 0., 0.6,,, QUESTION 6 Complete each sentence. a.8: the 8 in the place means. b.6: the in the place means. c.6: the in the place means. d 7.69: the 7 in the place means. =

Topic : Changing fractions to decimals QUESTION Write the following as decimals. 9 a = b = c = d = 9 e = f = g = h = 0 0 0 0 i = 6 89 6 j = k = l = 00 00 00 00 QUESTION Change to a decimal. 7 a + = b 6 = c + = d 8 = 0 0 0 e 8+ = f 6 + = g = h 6 = 0 9 7 6 8 i = j = k = l 7 = 0 QUESTION Change each fraction to a decimal. a = b = c = d = e = f = g = h = 0 i = j = k = l = 8 8 8 QUESTION Express as a decimal. 7 9 0 a = b = c = d = 0 7 8 e = f = g = h = 0 0 0 0

Topic : Addition and subtraction of decimals QUESTION Add the following. a +. = b + 8. = c 6 +. = d + 7. = e +.9 = f 7 + 8. = g 0. + = h 0. + = i 0. + 9 = j 0. + 0. = k 0. + 0.7 = l 0.8 + 0. = QUESTION Subtract the following. a 0.8 0. = b 0.7 0. = c 0.9 0. = d.8. = e.6. = f 8.7. = g 9.. = h 8. 0. = i 7.. = j 0.99 0.66 = k 0.88 0. = l 0.70 0. = QUESTION Work out the following. a 6.8 + 9. b 88.9 + 6. c 9.7 + 6. d 6. + 9.7 e.6907+. f 79.7. g 68.6.6 h 6.8.79 i.67.9 j 9.6 9.89 k 69.0 6.7 l 867.96.687 QUESTION Add the following. a.7 + 8.678. b 7.6 +.8 8.76 c 0.9 +.86 8.0 d.6 + 88.7 9.6

Topic : Multiplication of decimals QUESTION Multiply the following. a 0. 7 = b 0. = c 0.8 9 = d 0.06 = e 0.0 8 = f 0. = g. = h 0.0 = i. 9 = j 0.0 = k 0.008 7 = l 0.007 = m 0.06 = n 0.0 6 = o.7 8 = QUESTION Work out the following. a 0. = b 0. = c 0.6 0 = d 8. = e.6 = f 7. = g 9.6 0 = h.6 0 = i 8.7 0 = j 86. = k.9 0 = l 6. = m 0.008 00 = n 9. 00 = o 7. 0 = QUESTION Calculate the following. a 0. 0 = b 0.6 60 = c 0.8 80 = d 0.7 0 = e 0.7 00 = f 0.8 00 = g 7.6 000 = h 8.9 0 = i. 0 = j 9.6 90 = k 8.6 0 = l 6.7 70 = m. 000 = n 7.9 00 = o 8. 600 = QUESTION Find the product of the following decimals. a 0.6 0. = b 0. 0.7 = c 0. 0.8 = d 0. 0.0 = e 0. 0. = f.00. = g 6.08 0. = h 7. 0.0 = i 0.0 0.0 = j 0.7 0.9 = k.0 0. = l 8.0 0. = m 6.8 0. = n 8.7 0.0 = o.68 0.7 =

Topic 6: Division of decimals QUESTION Work out the following divisions. a. = b. = c 7 = d 6. = e 8. = f 9.6 6 = g 8.6 = h.8 9 = i = j 7 = k 0.9 6 = l. 7 = m 69 = n 7.9 = o 0.6 6 = QUESTION Calculate the following divisions. a = b 88.7 = c 9.7 = d 7.9 0 = e 68. 0 = f.7 00 = g.8 = h 99. 00 = i 88.7 0 = j 6.9 = k 67.8 = l 9. 0 = m.6 0 = n.6 0 = o 6.8 = QUESTION Evaluate the following divisions. a 6. 0 = b 8. 00 = c 7. 0 = d 6. 00 = e 0. 000 = f 8.9 00 = g. 600 = h 6.7 000 = i 66. 0 = j 86.8 000 = k.66 00 = l 8. 0 = m 697 900 = n 0 0 = o 6879 00 = QUESTION Calculate the following divisions. a 8.6 0.0 = b. 0.0 = c 8.9 0. = d. 0. = e 0.96. = f 8.96 0. = g 0 0. = h. = i 66.88. = j. 0. = k 90. 0.7 = l.9 0.9 = m.7 0.8 = n 0.0 0.0 = o. 0.0 = 6

Topic 7: Comparing decimals QUESTION Which is greater? a 0. or 0.8 b 0.6 or 0. c 0.8 or 0.08 d. or 0. e 0. or 0. f 0.86 or 0.68 QUESTION Which is smaller? a 0. or 0. b 0.8 or 0.699 c. or.9 d 0.80 or 0.08 e 0.006 or 0.007 f.6 or.06 QUESTION Arrange the following numbers in ascending order (smallest first). a 0.0, 0., 0., 0.0 b 7.07, 0.707, 0.700, 0.007 c.,.0,.,.00 d 8.6, 86, 0.86, 0.086 e 8.08, 808, 80.88, 808.8 QUESTION Arrange the following numbers in descending order (largest first). a., 0.,.,.0,. b 0.7, 7.7, 7.07, 0.007, 7.007 c.,.0,.00,.0,.00 d 7., 7.0,.7, 7., 7. e.,.,.,., 0. QUESTION Which of the following statements are True or False? a 0. < 0. b 0.80 > 0.8 c.7 < 0.7 d 0. =. e 0.99 < 0. f 0.000 > 0.00 QUESTION 6 Complete the following, using <, = or >. a 0. 0. b 0.0 0.00 c.6.6 d.. e..0 f.608.60 g 0.99 0.099 h.0.00 7

Topic 9: Rounding off decimals QUESTION Express the following decimals correct to two decimal places. a.67 = b 8.6 = c 9.8 = d.6 = e 98.8 = f 6. = g 9.66 = h. = i 69. = j 8.06 = k.9 = l 7.79 = m.67 = n 7.0 = o 6.76 = QUESTION Round off the following decimals correct to one decimal place. a.67 = b 7.86 = c 9.9 = d 7.86 = e.6 = f 9.6 = g 7.809 = h 6. = i 6.7 = j 8.69 = k 7.8 = l 87.9 = m.6 = n 8.9 = o 7.9 = QUESTION Write the following decimals to the nearest tenth. a.67 = b 6.8 = c 6.88 = d 9.687 = e 8.6 = f.68 = g 8.79 = h 69.87 = i 7.6 = j 6. = k 9.6 = l 8.69 = m 79. = n 87.67 = o 9.7 = QUESTION Round off the following decimals to the number of decimal places shown in the brackets. a.69 [] = b.87 [] = c 9.87 [] = d.6 [] = e 9.6 [] = f 9.008 [] = g 8.89 [] = h 66.8 [] = i 9.69 [] = j. [] = k.68 [] = l 7.008 [] = m 79.08 [] = n 87.0 [] = o 9.6 [] = 9

Topic : Problem solving with fractions Find the sum of 6. cm,.7 cm and.8 cm. Add.8,.6 and 9.7 A rectangle is.6 cm long and.8 cm wide. Find its perimeter. A room is. metres long and. metres wide. Find its area. Find the cost of books at $.9 each. 6 Find the total length of 80 blocks of wood that are each.6 metres long. 7 A car travels. km each day. What distance does it travel in 0 days? 8 What is the difference between 8.9 and.7? 9 To the sum of. and., add the product of 0.7 and. Three boxes weigh. kg,. kg and. kg. What is the total weight? Find the cost of 000 bricks if each brick costs cents. Find the total cost of three cakes at $.0 each and five ice creams at $. each. Nisha buys six rulers at 90 cents each. How much change would she receive from $? Kabir earns $.60 an hour. How much does he earn if he works for hours? A piece of material.8 metres long is cut into four equal parts. How long is each part?