(7) time ( pg 74 - 108 ).doc
TRANSCRIPT
Convert time in fractions and decimals of a minutes to seconds.
Convert time in fractions and decimals of a minutes to seconds.
Convert time in fractions and decimals of an hour to minutes and to seconds.
Convert time in fractions and decimals of an hour to minutes and to seconds.
Convert time in fractions and decimals of a day to hours, minutes to seconds
Convert time in fractions and decimals of a day to hours, minutes to seconds
Add time in hours, minutes and seconds.
Add time in hours, minutes and seconds.
Convert unit of time from a. Century to years and vice-versa.b. Century to decades and vice-versa.
Convert unit of time from a. Century to years and vice-versa.b. Century to decades and vice-versa.
Subtarct time in hours, minutes and seconds.
Subtarct time in hours, minutes and seconds. Multiply time in hours,
minutes and seconds.
Multiply time in hours, minutes and seconds.
Divide time in hours, minutes and seconds.
Divide time in hours, minutes and seconds. Identify the start and
end times of an event from a given duration of times
Identify the start and end times of an event from a given duration of times
Calculate the duration of an event from a given duration of time.
Calculate the duration of an event from a given duration of time.
Determine the start or end time of an event from a given duration of time.
Determine the start or end time of an event from a given duration of time.
Solve problem involving time duration in fractions and or decimals of hour, minutes and seconds
Solve problem involving time duration in fractions and or decimals of hour, minutes and seconds
WAJA MATHEMATICS YEAR 5 JPN PERAK
Read and write time in the 24 hour system.
74http://waja2blogspot.com
Learning Objectives
1. Understand and use the vocabulary related to time.2. Understand the relationship between units of time.3. Add, subtract, multiply and devide units of time.4. Use and apply knowledge of time to find the duration
Place valueDayDecomposeHoursEventMinutesPartitionCombination
WAJA MATHEMATICS YEAR 5 JPN PERAK Write the following amounts in words.
Exercise 1
Write the following amounts in numerals.
Exercise 2
Convert time from the 24-hour system to the 12-hour system .
75http://waja2blogspot.com
1545 hours Fifteen forty-five hours
1. 1220 hours
2. 0425 hours
3. 2030 hours
4. 1000 hours
5. 2328 hours
Ten twenty-five hours 1025 hours
1. Two fifteen hours
2. Eleven ten hours.
3. Three hundred hours
4. Zero fifty-two hours
5. Twenty-one twenty-five hours
6. Eleven fifty-five hours
Example
Example
Example
PlusAddAltogetherAmountCalculateEqual toExact valueLessMinusRearrangeRegroupSumVertical form
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert the time given to 12- hour system.
76http://waja2blogspot.com
Convert 1400 hours to 12-hour system
2:00 p.m.
Hour Minutes1 4 0 0
– 1 2 0 00 2 0 0
After 1300 hours to the 12-hour system,subtract 1200 from
the given time
After 1300 hours to the 12-hour system,subtract 1200 from
the given time
Determinethe operation
Minus 1200 for time between 1300 hours to 2359 hours.
Add 1200 for times between 0000 hours to 0059 hours
Minus 1200 for time between 1300 hours to 2359 hours.
Add 1200 for times between 0000 hours to 0059 hours
From 0000 hours to1159 hours, we write a.m.From 1200 hours 2359 hours, we write p.m.
From 0000 hours to1159 hours, we write a.m.From 1200 hours 2359 hours, we write p.m.
WAJA MATHEMATICS YEAR 5 JPN PERAK Exercise 3
1 1400 hours = 2 1912 hours =
3 0017 hours = 4 2354 hours =
5 2200 hours = 6 0145 hours =
7 1414 hours = 8 0907 hours =
9 0010 hours 10 1201 hours
Convert time from the 12-hour system to 24-hour system..
77http://waja2blogspot.com
Example
PlusAddAltogetherAmountCalculateEqual toRetain
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert the time given to 24- hour system.
Exercise 4
78http://waja2blogspot.com
Convert 8:00 p.m. to 24-hour system
1900 hours
Note: In 24-hour system we must write the
Hour Minutes0 7 0 0
+ 1 2 0 01 9 0 0
After 12:00 noonwe must add 12 hours
After 12:00 noonwe must add 12 hours
Determine the operation
Determine the operation
Write the word ‘hours’after the numeral
Write the word ‘hours’after the numeral
In the 24-hour system there are 4 digit.The first 2 digit show hours and the last 2 digit show minutes
In the 24-hour system there are 4 digit.The first 2 digit show hours and the last 2 digit show minutes
WAJA MATHEMATICS YEAR 5 JPN PERAK
1 4:45 a.m. = 2 7:20 p.m. =
3 6:35 a.m. = 4 6:16 p.m. =
5 10:10 p.m. = 6 1:05 a.m. =
7 7:00 a.m. = 8 9:00 p.m. =
9 12:00 noon = 10 12:00 midnight =
Convert time in fractions and decimals of a minute to seconds.
79http://waja2blogspot.com
Example 1
DenominatorFractioneNumeratorOne halfOne over fourProductRearrange
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert time in fractions and decimals of a minute to seconds.
80http://waja2blogspot.com
Convert minute to seconds.
× 60 =
12 seconds
=5 60)
12
5101000
1 minute = 60 secondsso, multiply by 60
1 minute = 60 secondsso, multiply by 60
Write invertical form
Write invertical form
Example 2
ConvertDecimalDecimal placeTenthsHundredths
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert time in fractions and decimals of minute to seconds.
Exercise 5
81http://waja2blogspot.com
Convert 0.4 minute to seconds.
0.4 × 60 =
24 seconds
1 minute = 60 secondsso, multiply by 60
1 minute = 60 secondsso, multiply by 60
Write invertical form
Write invertical form
0.4 6 0 0 0 2 4 2 4.0
×
+
Give your answer to one decimal place
Give your answer to one decimal place
WAJA MATHEMATICS YEAR 5 JPN PERAK
1
minute =2
minute =
3
minute =4
minute =
5
minute =6
minute =
7
1 minutes =8
1 minutes =
Convert time in fractions and decimals of minute to seconds.
Exercise 6
82http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK
1 0.1 minute = 2 0.5 minute =
3 0.4 minute = 4 0.7 minute =
5 0.9 minute = 6 1.1 minutes =
7 2.3 minutes = 8 8.4 minutes =
Convert time in fractions and decimals of an hour to minutes and to seconds.
83http://waja2blogspot.com
Example 1
DenominatorFractioneNumeratorOne halfOne over fourProductRearrange
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert time in fractions and decimals of an hour to minutes and to seconds.
84http://waja2blogspot.com
Convert hour to minute and to
seconds.
× 60 =
00
1 hour = 60 secondsso, the fraction multiply by 60.
1 hour = 60 secondsso, the fraction multiply by 60.
Then , 120divide by 5 invertical form
Then , 120divide by 5 invertical form
=5 120)
24
10 20 20
5120
24 60 1440
×
1 minute = 60 secondsso, 24 multiply by 60
1 minute = 60 secondsso, 24 multiply by 60
1440 seconds
Example 2
ConvertDecimalDecimal placeTenthsHundredths
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert time in fractions and decimals of an hour to minutes and to seconds.
Exercise 7
85http://waja2blogspot.com
Convert 0.1 hour to minute and to seconds.
0.1 × 60 =
0.1 ×60 06.0
1 hour = 60 secondsso, the fraction multiply by 60.
1 hour = 60 secondsso, the fraction multiply by 60.
Then , 0.1multiply by 60 in vertical form
Then , 0.1multiply by 60 in vertical form
60 6 360
×
1 minute = 60 secondsso, 24 multiply by 60
1 minute = 60 secondsso, 24 multiply by 60
36 seconds
Give the answer to onedecimal place
Give the answer to onedecimal place
WAJA MATHEMATICS YEAR 5 JPN PERAK
1 hour =
2 hour =
3 hour =
4 hour =
5 hour =
6 2.5 hour =
7 0.3 hour = 8 1.4 hour =
Convert time in fractions and decimals of a day to hour, minutes and to seconds.
86http://waja2blogspot.com
Example 1
DenominatorFractioneNumeratorOne halfOne over fourProductRearrange
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert time in fractions and decimals of a day to hour, minutes and to seconds.
87http://waja2blogspot.com
Convert day to hours, to
minutes and to seconds.
Convert to minutes.1 hour = 60 minutes
Convert to minutes.1 hour = 60 minutes
60 4 240
×
Solve in veltical formSolve in veltical form
14 400 seconds
4 × 60
× 24 = 41 4
240 × 60 240 60 14400
×
Example 2
Convert to seconds.1 minute = 60 secondsSolve in veltical form
Convert to seconds.1 minute = 60 secondsSolve in veltical form
1 day = 24 hoursso, the fraction multiply by 24.
1 day = 24 hoursso, the fraction multiply by 24.
ConvertDecimalDecimal placeTenthsHundredths
WAJA MATHEMATICS YEAR 5 JPN PERAK
Convert time in fractions and decimals of a day to hour, minutes and to seconds.
88http://waja2blogspot.com
Convert 0.5 day to hours, to minutes and to seconds.
0.5 × 24 = 12
12 60 720
×
43 200 seconds
12 × 60
720 × 60 720 60 43200
×
Solve in vertical formSolve in vertical form
Convert to seconds.1 minute = 60 secondsSolve in veltical form
Convert to seconds.1 minute = 60 secondsSolve in veltical form
1 day = 24 hoursso, the multiply by 24.
1 day = 24 hoursso, the multiply by 24.
Convert to minutes.1 hour = 60 minutes
Convert to minutes.1 hour = 60 minutes
WAJA MATHEMATICS YEAR 5 JPN PERAK Exercise 8
1 day =
2 day =
3 day =
4 0.2 day =
5 1.2 days = 6 0.8 day =
Convert units of time from
89http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK (a) century to years and vice versa
Convert units of time from
90http://waja2blogspot.com
Convert 700 years to centuries.
1 century = 100 yearsso, divided by 100.
1 century = 100 yearsso, divided by 100.
Then , 700divided by 100 in
vertical form
Then , 700divided by 100 in
vertical form
Example 1
7 years
000
100 700) 7
700
ConvertYearSecondMinuteHourDayWeekMonthYearDecadeCentury
ConvertYearSecondMinuteHourDayWeekMonthYearDecadeCentury
WAJA MATHEMATICS YEAR 5 JPN PERAK (a) century to years and vice versa..
Convert units of time from(a) century to years and vice versa
91http://waja2blogspot.com
Convert 3 centuries to years.
3 x 100
1 century = 100 yearsso, multiply by 100.
1 century = 100 yearsso, multiply by 100.
Solve in vertical form
Solve in vertical form
Example 2
300 years
100 3 300×
WAJA MATHEMATICS YEAR 5 JPN PERAK Exercise 9
1 500 years = 2 450 years =
3 1 000 years = 4 960 years =
5 0.8 century = 6 2.4 centuries =
7 6 centuries = 8 0.07 century =
Convert time of time from(b) century to decades and vice versa.
92http://waja2blogspot.com
ConvertYearSecondMinuteHourDayWeekMonthYearDecadeCentury
WAJA MATHEMATICS YEAR 5 JPN PERAK ..
Convert time of time from(b) century to decades and vice versa.
93http://waja2blogspot.com
Convert 200 decades to centuries.
1 century = 10 decadesso, divided by 10.
1 century = 10 decadesso, divided by 10.
Then , 200divided by 10 in
vertical form
Then , 200divided by 10 in
vertical form
Example 1
20 centuries
000 0 0
10 200) 20
20
Example 2
ConvertYearSecondMinuteHourDayWeekMonthYearDecadeCentury
WAJA MATHEMATICS YEAR 5 JPN PERAK .
Convert time of time from(b) century to decades and vice versa.
94http://waja2blogspot.com
Convert 70 centuries to decades.
70 x 10
1 century = 10 decadesso, multiply by 10.
1 century = 10 decadesso, multiply by 10.
700 years
Solve in vertical form
Solve in vertical form
70 10 700×
WAJA MATHEMATICS YEAR 5 JPN PERAK Exercise 10
1 25 decades = 2 75 decades =
3 650 decades = 4 990 decades =
5 0.1 century = 6 0.9 century =
7 1.7 centuries = 8 3.6 centuries =
Add time in hours, minutes and seconds..
95http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK
Add time in hours, minutes and seconds..
96http://waja2blogspot.com
4 hr 41 min 30 s
3 hr 5 min 25 s + 2 hr 20 min 45 s =
3 hr 5 min 25 s2 hr 20 min 45 s
Example
Carry out the addition
operation
Change tovertical form
2 hr 20 min 45 s 2 hr 20 min 45 s
4 hr 40 min 90 s 1 60 s 4 hr 41 min 30 s
+
–+
Regroup 60 seconds as 1 minute and 60 minute as 1 hour when necessary
Regroup 60 seconds as 1 minute and 60 minute as 1 hour when necessary
PlusAddAltogetherAmountCalculateEqual toRegroup
WAJA MATHEMATICS YEAR 5 JPN PERAK Exercise 11
1 7 hr 12 min 45 s + 1 hr 45 min 40 s = 2 8 hr 42 min 25 s + 1 hr 45 min 25 s =
3 3 hr 24 min 18 s + 6 hr 54 min 27 s = 4 5 hr 45 min 56 s + 8 hr 55 min 56 s =
5 5 hr 38 min 57 s + 6 hr 35 min 8 s = 6 8 hr 50 min 46 s + 7 hr 12 min 40 s =
Subtract time in hours, minutes and seconds.
97http://waja2blogspot.com
MinusSubtractDecimal pointBalanceBeforeCompareDifferenceLessLess thanLeftLower thanPositionVertical form
WAJA MATHEMATICS YEAR 5 JPN PERAK
98http://waja2blogspot.com
4 hr 35 min 5 s
5 hr 30 min 15 s – 2 hr 45 min 10 s =
5 hr 30 min 15 s 2 hr 45 min 10 s
Example
Carry out the subtractionoperation
Change tovertical form
5 hr 20 min 15 s 2 hr 45 min 10 s
4 hr 35 min 5 s
60 min + 20 min – 45 min= 35 min
60 min + 20 min – 45 min= 35 min
–
–
804
WAJA MATHEMATICS YEAR 5 JPN PERAK Subtarct time in hours, minutes and seconds.
Exercise 12
1 7 hr 12 min 45 s – 1 hr 10 min 25 s = 2 8 hr 42 min 25 s – 1 hr 45 min 20 s =
3 9 hr 12 min 18 s – 6 hr 12 min 20 s = 4 7 hr 45 min 15 s – 2 hr 55 min 56 s =
5 9 hr 40 min 5 s – 4 hr 45 min 8 s = 6 8 hr 10 min 6 s – 1 hr 12 min 40 s =
Multiplyt time in hours, minutes and seconds.
99http://waja2blogspot.com
AltogetherAmountArrangeEqual toExact valueMultipleMultiplicandMultiplicationMultiplied byMultiplyMultiplierGroup ofProductRepeated additionTimesVertical Form
WAJA MATHEMATICS YEAR 5 JPN PERAK
100http://waja2blogspot.com
10 hr 1 min 20 s 10 hr 1 min 20 s
2 hr 30 min 20 s × 4 =
2 hr 30 min 20 s 4
Example 2
Carry out the multiplication
operation
Change toVertical form
×
2 hr 30 min 20 s 4
8 hr 120 min 80 s 1 60 8 hr 121 min 20 s 2 hr 120 min 10 hr 1 min 20 s
×
Regroup 120 min as 2 hours
Regroup 120 min as 2 hours
WAJA MATHEMATICS YEAR 5 JPN PERAK Multiplyt time in hours, minutes and seconds.
Exercise 13
1 6 hr 12 min 13 s × 5 = 2 5 hr 32 min 20 s × 8 =
3 9 hr 27 min 18 s × 3 = 4 6 hr 40 min 15 s × 7 =
5 7 hr 55 min 45 s × 3 = 6 9 hr 28 min 50 s × 9 =
101http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK Divide time in hours, minutes and seconds.
102http://waja2blogspot.com
2 hr 4 min 20 s
8 hr 17 min 20 s ÷ 4 =
Example
Carry out the division
operation
Regroup 1 min to 60 sRegroup 1 min to 60 s
8 hr 17 min 20 s
Change tovertical form
)4
8 hr 17 min 20 s 8 16 60 1 80 8 00 0 0
)42 hr 4 min 20 s
ArrangeCalculateCount onDivideDivided byDividendDivisibleDivisionDivisorQuotient
WAJA MATHEMATICS YEAR 5 JPN PERAK Divide time in hours, minutes and seconds.
Exercise 14
1 7 hr 3 min 5 s ÷ 5 = 2 4 hr 32 min 33 s ÷ 3 =
3 9 hr 44 min 24 s ÷ 6 = 4 11 hr 43 min 12 s ÷ 9 =
5 1 hr 5 min 6 s ÷ 9 = 6 6 hr 32 min 10 s ÷ 5 =
103http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK
Identify the start and end time of an eventCalculate the duration of an event involving
(a) hours, minutes and seconds(b) days and hours
104http://waja2blogspot.com
2 hr 25 min 2 hr 25 min
Karim left her house at 2310 hours and reached his school at 1445. How long did he take totravel to his school ?
23 hr 10 min 14 hr 45 min
Example
Carry out the subtractionoperation
Change tovertical form
5 hr 10 min 2 hr 45 min
2 hr 25 min
60 min + 10 min – 45 min= 25 min
60 min + 10 min – 45 min= 25 min
–
–
704
AfterAnalogue clockAnte meridiemArrivalBeforeCalendarChangeClock wiseCommon yearCompareConvertDepartureDurationEnding TimeEstimationLeap yearPost meridiemRotateRearrangeScheduleStarting timeTimeYesterday
WAJA MATHEMATICS YEAR 5 JPN PERAK
Identify the start and end time of an eventCalculate the duration of an event involving
(c) hours, minutes and seconds(b) days and hours
Exercise 15
1 The table below shows the examination time-table for a subjects.
Subject TimeMathematics 1130 hour ─ 1245 hour
Calculate the duration of time in hourand minutes.
2 Puan Zainab spent 2 hour 25 minutescleaning her house and 1 hour 55 minutes cooking a meal. How long did she take to complete her house hold chores ?
3 A movie started at 0345 hours and ended at 0525 hours. What is the duration of the movie ?
4 What is the duration between 1245 hours and 2110 hours ?
5 Amin started a marathon race at 0835hours. He finished at 10.25 hours. Find the duration of the marathon race.
6 Suzie goes to holiday from 0845 hoursTuesdays until 0945 hours Wednesday.Find the duration she goes for holidays?
105http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK
Determine the start or end time of an event from a given duration duration of time.
Change toVertical form
106http://waja2blogspot.com
7: 25 a.m. 7: 25 a.m.
15 hr 40 min 7 hr 45 min
Example 1
Carry out the subtractionoperation
Change toVertical form
15 hr 40 min 7 hr 45 min
7 hr 55 min
40 min + 60 min – 45 min= 55 min
40 min + 60 min – 45 min= 55 min
–
–
Seman finish his work at 1540 hours. He had been working for 7 hours 45 minutes. At what time did he start his work ?
14 100
AfterAnalogue clockAnte meridiemArrivalBeforeCalendarChangeClock wiseCommon yearCompareConvertDepartureDurationEnding TimeEstimationLeap yearPost meridiemRotateRearrangeScheduleStarting timeTimeYesterday
WAJA MATHEMATICS YEAR 5 JPN PERAK
Determine the start or end time of an event from a given duration duration of time.
107http://waja2blogspot.com
4:30 p.m. 4:30 p.m.
2 hr 15 min 2 hr 15 min 4 hr 30 min
+–
Table shows the time taken by Ali to revise his lesson.SubjectTime takenMathematics1 houe 30
minutesScience45 minutesAli starts his revision at 2:15 p.m. AtWhat time does Ali finish his revision ?
Change tovertical form.Carry out the
additionoperation. 1 hr 30 min
45 min 1 hr 75 min 1 hr 60 min 2 hr 15 min
+–+–
–
Next, the addition
operation.
Regroup 60 s to1 minute.
Example 2AfterAnalogue clockAnte meridiemArrivalBeforeCalendarChangeClock wiseCommon yearCompareConvertDepartureDurationEnding TimeEstimationLeap yearPost meridiemRotateRearrangeScheduleStarting timeTimeYesterday
WAJA MATHEMATICS YEAR 5 JPN PERAK
Determine the start or end time of an event from a given duration duration of time.
Exercise 16
1 The train arrived at Kuala Kangsar at0235 hours and departed for KualaLumpur 4 hours 25 minutes later. Calculate the time of departure.
2 Ali started a marathon race at 0745 hours. He took 3 hours 35 minutes to complete the race. At what time did he reach the finishing line ?
3 A school concert lasted 3 hours32 minutes and ended at 6:30 p.m.What time did it start ?
4 Amin finished his work at 2345 hours.He had been working for 2 hours 55 minutes. At what time did he start his work ?
5 An examination ended at 1210 hours.It lasted 1 hour 15 minutes. At whattime did the examination start ?
6Ramlah takes hour to walk to school.
If she starts at 0845 hours, at what time does she reach school ?
108http://waja2blogspot.com
WAJA MATHEMATICS YEAR 5 JPN PERAK
109http://waja2blogspot.com