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) ..(−3.¹⁄₂.)³……………..

Answer:

(i) (-3)³ × 5²

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

Question -2. Simplify the following:

Answer:

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

Answer:

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

Answer:

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

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

Answer:

(i) 24000

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

(ii) 12600

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

(iii) 14157

= 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 :–

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