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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_09
\\November 23, 2023 10:50 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74
(b) Since, 1 year = 12 months Practice Time 9B
So, 11 years 9 months = 11 years + 9 months
1. Convert the following.
= (11 × 12) months + 9 months
(a) 9 minutes into seconds (b) 12 minutes 54 seconds into seconds
= 132 months + 9 months = 141 months (c) 3 hours 25 minutes 16 seconds into seconds
Conversion of Lower Units into Higher Units (d) 14 hours into minutes (e) 9 hours 54 minutes into minutes
To convert lower units of time into higher units, we divide. (f) 7 days into hours (g) 8 days 19 hours into hours
example 5: Convert 3308 seconds into minutes and seconds. 55 (h) 7 weeks 3 days into days (i) 3 years into days
Solution: Since 60 seconds = 1 minute 60 3308 (j) 10 years into months (k) 5 years 10 months into months
300
3308 seconds = (3308 ÷ 60) minutes 308 2. Convert the following into minutes and seconds.
300 (a) 1318 seconds (b) 3165 seconds
Quotient = 55, Remainder = 8 8
3. Convert the following into hours and minutes.
Thus, 3308 seconds = 55 minutes 8 seconds (a) 238 minutes (b) 498 minutes (c) 1032 minutes (d) 3024 minutes
example 6: Convert 532 minutes into hours and minutes. 4. Convert the following into days and hours.
Solution: Since 60 minutes = 1 hour 8 (a) 57 hours (b) 537 hours (c) 953 hours (d) 1810 hours
60 532
532 minutes = (532 ÷ 60) hours 480 5. Convert the following into weeks and days.
Quotient = 8, Remainder = 52 52 (a) 330 days (b) 438 days
Thus, 532 minutes = 8 hours 52 minutes OPERATiOns On TimE UniTs
example 7: Convert 789 hours into days and hours. Addition and subtraction of measures of Time
32
Solution: Since 24 hours = 1 day 24 789 We can perform operations on time units as we did for length, weight and for capacity.
72
789 hours = (789 ÷ 24) days 69 To perform addition or subtraction of time, we arrange the same units of time in same
Quotient = 32, Remainder = 21 48 columns and then add or subtract.
21 example 1: Add the following: Note
Thus, 789 hours = 32 days 21 hours (a) 32 minutes 48 seconds + 16 minutes 56 seconds We use ‘h’ for ‘hours’,
example 8: Convert 366 days into weeks and days. (b) 6 hours 34 minutes + 8 hours 47 minutes ‘min’ for ‘minutes’, ‘s’ for
seconds for writing units
52
Solution: Since 7 days = 1 week Solution: of time in short.
7 366
366 days = (366 ÷ 7) weeks 35 (a) Step 1: Add seconds:
16
Quotient = 52 weeks, Remainder = 2 days 14 48 seconds + 56 seconds = 104 seconds
2 min s
Thus, 366 days = 52 weeks 2 days = 60 seconds + 44 seconds = 1 minute 44 seconds 1
Step 2: Add minutes: 32 48
+ 16 56
1 minute + 32 minutes + 16 minutes = 49 minutes 49 44
Knowledge Desk
A leap year has 366 days. Julius Caesar introduced the first calendar leap year in 46 B.C. The Thus, 32 minutes 48 seconds + 16 minutes 56 seconds
Earth takes exactly 365 days, 5 hours, 48 minutes and 45 seconds to move around the Sun. = 49 minutes 44 seconds
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