Page 189 - Math_Genius_V1.0_C5_Flipbook
P. 189

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


              Mathematics-5                                                                                          187
   184   185   186   187   188   189   190   191   192   193   194