ML Aggarwal Exponents and Powers Check Your Progress Class 7 ICSE Maths Solutions

ML Aggarwal Exponents and Powers Check Your Progress Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of  Check Your Progress Questions for Exponents and Powers as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-7.

ML Aggarwal Exponents and Powers Check Your Progress Class 7 Maths Solutions

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 7th
Chapter-4 Exponents and Powers
Writer ML Aggarwal
Book Name Understanding
Topics Solution of Check Your Progress Questions
Edition 2023-2024

Exponents and Powers Check Your Progress

ML Aggarwal Class 7 ICSE Maths Solutions

Page-101

Question 1. Find the value of each of the following:

(i) (-3)3 × 52
(ii) (-1)501 × [(27)4 ÷ (9)5]
(iii) ..(3.12.)3……………..

Answer:

(i) (-3)3 × 52

= (−3) × (−3) × (−3) × 5 × 5
= −27 × 25
= −675

Question 1. Find the value of each of the following:

Question -2. Simplify the following:

Question -2. Simplify the following:

Answer:

Question -2. Simplify the following:

Question- 3. Simplify and write the following in exponential form:

Question- 3. Simplify and write the following in exponential form:

Answer:

Question- 3. Simplify and write the following in exponential form:

Question -4. If (-3/5)1 = -27/125, then find the value of x.

Answer:

Question -4. If (-3/5)1 = -27/125, then find the value of x.

Question 5. Write the prime factorisation of the following numbers in the exponential form:

(i) 24000
(ii) 12600
(iii) 14157

Answer:

(i) 24000

Write the prime factorisation of the following numbers in the exponential form: (i) 24000

= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5
= 26 × 31 × 53

(ii) 12600

Write the prime factorisation of the following numbers in the exponential form: (i) 24000

= 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7
= 23 × 32 × 52 × 71

(iii) 14157

Write the prime factorisation of the following numbers in the exponential form: (i) 24000

= 3 × 3 × 11 × 11 × 13
= 32 × 112 × 131

 

Question 6. Express the numbers appearing in the following statements in scientific notation:

(i) The earth has 1,353,000,000 cubic km of water.
(ii) The population of India was about 1,027,000,000 in march, 2001.
(iii) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water.

Answer:

(i) The earth has 1,353,000,000 cubic km of water.

= 1.353 × 109 cubic km

(ii) The population of India was about 1,027,000,000 in march, 2001.

= 1.027 × 109

(iii) 60,230,000,000,000,000,000 molecules are contained in a drop of water.

6.023 × 1022 molecules

Question -7. Compare the following numbers:

(i) 5.976 × 1024; 8.689 × 1023
(ii) 3.7662 × 1017; 3.7671 × 1017

Answer:

(i) 5.976 × 1024; 8.689 × 1023

Here in 5.976 × 1024, 102 is greater than in 8.689  × 1023

5.976 × 1024 > 8.689 × 1024
(ii) 3.7662 × 1017  >3.7671 × 1017

Here 1024 is multiplied in both and 76671 > 7662
3.76671 × 1017 > 3.7662 × 1017

—  : End of ML Aggarwal Exponents and Powers Check Your Progress Class 7 ICSE Maths Solutions :–

Return to –  ML Aggarwal Maths Solutions for ICSE Class -7

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