5) Find the smallest possible length of scale tomeasure exactly 64 cm,

1.	5) Find the smallest possible length of scale tomeasure exactly 64 cm, 80 cm and 96 cm.(a) 9.60 m(b) 9.60 cm(c) 7.20 m(d) 7.20 cm
Answer» To find the smallest possible length, We have to take out LCM .. So, LCM of 64, 80 and 96 is ... 64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶ 80 = 2 × 2 × 2 × 2 × 5 = 2⁴ × 5 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2₅ × 3 LCM (64, 80, 96) = 2⁶ × 3 × 5 = 960. Hence, the smallest possible length of scale to MEASURE EXACTLY 64 cm,80 cm and 96 cm is 960 cm or 9.6 m.

5) Find the smallest possible length of scale tomeasure exactly 64 cm, 80 cm and 96 cm.(a) 9.60 m(b) 9.60 cm(c) 7.20 m(d) 7.20 cm

Answer»

To find the smallest possible length, We have to take out LCM ..

So, LCM of 64, 80 and 96 is ...

64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶

80 = 2 × 2 × 2 × 2 × 5 = 2⁴ × 5

96 = 2 × 2 × 2 × 2 × 2 × 3 = 2₅ × 3

LCM (64, 80, 96) = 2⁶ × 3 × 5 = 960.

Hence, the smallest possible length of scale to MEASURE EXACTLY 64 cm,80 cm and 96 cm is 960 cm or 9.6 m.