Maharashtra Board Text books

Maharashtra State Board Class 7th Maths Chapter 6 Indices Set 6.5 Solution

Question 1.
Find the square root:
i. 625
ii. 1225
iii. 289
iv. 4096
v. 1089
Solution:
i. 625
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 1

∴ 625 = 5 x 5 x 5 x 5
∴ √625 = 5 x 5 = 25

ii. 1225
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 2
∴ 1225 = 5 x 5 x 7 x 7
∴ √1225 = 5 x 7 = 35

iii. 289
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 3
∴ 289 = 17 x 17
∴ √289 = 17

iv. 4096
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 4
∴ 4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
∴ √4096 = 2 x 2 x 2 x 2 x 2 x 2
= 64

v. 1089
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 5
∴ 1089 = 3 x 3 x 11 x 11
∴ √1089 = 3 x 11
= 33

Intext Questions and Activities

Question 1.
Try to write the following numbers in the standard form. (Textbook pg. no. 48)
i. The diameter of Sun is 1400000000 m.
ii. The velocity of light is 300000000 m/sec.
Solution:
i. 1400000000 m = 1.4 x 109 m
ii. 300000000 m/s = 3.0 x 108 m/sec.

Question 2.
The box alongside shows the number called Googol. Try to write it as a power of 10. (Textbook pg. no. 48)
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 6
Solution:
1 x 10100