Page 153 - Math Genius C3
P. 153

E:\Working\Orange_Education\Math_Genius_3\Open_Files\CHAP_09
               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________





 Example 2: I bought a silver foil pack of 16 m 72 cm. How much is it in cm?  Alternative: To convert m into km, just write the last three digits as m and the remaining

 Solution:  16 m 72 cm = (16 × 100) cm + 72 cm = 1600 cm + 72 cm  digits as km.    Math Insight
                                                                                              1
                                                                             1
       =  1672 cm  As, 7725 m = 7 km 725 m.                         250 m =    km, 500 m  =   km, 1000 m  = 1 km.
 Centimetre into metre                                                       4                2

 To convert centimetres into metres and centimetres, we divide the number of metres   Practice time 9a
 by 100.      1.  Measure the length of the following objects using a ruler.

 Example 3: Convert 600 cm into m.  100 600  6 m
 600               (a)                                                                                ________ cm
 Solution:  600 cm = (600 ÷ 100) m = 6 m  0 cm
                   (b)                                                                                ________ cm
 On converting cm into m, write the last two digits as cm and the remaining digit as m.
 For example: 3261 cm = 32 m 61 cm.  (c)                                                              ________ cm

 Kilometre into Metre  (d)                                                                            ________ cm
              2.  Convert the following into cm.
 To convert kilometres into metres, we multiply the number of kilometres by 1000.

 Example 4: Aditi goes to school by her bicycle. The distance of the school from her home   (a)  5 m    (b)  20 m   (c)  12 m 18 cm   (d)  15 m 10 cm

 is 3 km. What is the distance in m?  3.  Convert the following into m.
 Be Aware
 Solution:  3 km = (3 × 1000) m = 3000 m  1 km = 1000 m.  (a)  6 km    (b)  10 km    (c)  4 km 300 m   (d)  1 km 425 m

 Kilometre and Metre into Metre  4.  Convert the following as directed and fill in the blanks.

 To convert kilometres and metres into metres, we   (a)  500 cm = _____ m       (b)  1562 cm = _____ m _____ cm
 Think Tank
 multiply the number of kilometres by 1000 and add the   Manoj has a measuring tape   (c)  1610 m = _____ km _____ m   (d)  2013 m = _____ km _____ m
 product to the number of metres.  that is not correct. His 1 m

 Example 5: Raju travels a distance of 8 km 490 m. Find   tape  is actually  only  90 cm   www
 long. He does not know this
 the distance in m.  and measures a  cloth  as  10   MAths connect
 metres. Find the cloth’s actual                                                                             Cross-Curricular Learning
 Solution:  8 km 490 m = (8 × 1000) m + 490 m  length.  Find  out  where we use an  odometer and  speedometer. List some  of  their

    = 8000 m + 490 m = 8490 m  applications in real life.
       Thus, Raju travels 8490 m.

 Metre into Kilometre  Measuring Weight (Mass)

 To convert metres into kilometres, we divide the number of metres by 1000.  The weight of an object tells us how heavy the object is.  Knowledge Desk

 Example 6: Convert 7725 m into km.  By looking at two objects, we can compare and tell which   The quantity of matter in an

 Solution:  7725 m = 7000 m + 725 m  or 7725 m = (7725 ÷ 1000) km  is lighter or heavier.  object is called its mass.

               = 7 km + 725 m           = 7 km 725 m
 1000 7725  7 km
                  = 7 km 725 m  7000

            So, 7725 m = 7 km 725 m.  725 m  A book is lighter than a bag         A water bottle is heavier than an eraser




              Mathematics-3                                                                                         151
   148   149   150   151   152   153   154   155   156   157   158