Ncert solutions

Ncert solutions

Grade 7

Exponents and Powers | Exercise 13.3

Question 1

Q1) Write the following numbers in the expanded forms:

(i) 2,79,404

(ii) 30,06,194

(iii) 28,06,196

(iv) 1,20,719

(v) 20,068

Solution 1:

(i) 2,79,404

200000+70000+9000+400+00+4\times1

2\times10000+7\times10000+9\times10000+4\times100+00+4\times1

2\times10^5+7\times10^4+9\times10^3+4\times10^2+0\times10^1+4\times10^0

(ii) 30,06,194

=3000000+0+0+6000+100+90+4

=3\times1000000+0+0+6\times1000+1\times100+9\times10+4\times1

=3\times10^6+0\times10^5+0\times10^4+6\times10^3+1\times10^2+9\times10^1+4\times10^0

(iii) 28,06,196

=2000000+800000+0+6000+100+90+6

=2\times1000000+8\times100000+0+6\times1000+1\times100+9\times10+6\times1

=2\times10^5+8\times10^4+0\times10+6\times10^3+1\times10^2+9\times10^1+6\times10^0

(iv) 1,20,719

=1000000+20000+0+700+10+9

1\times100000+2\times10000+0+7\times100+10\times1+9\times1

=1\times10^5+2\times10^4+0+7\times10^2+1\times10^1+9\times10^0

(v) 20,068

=20000+00+00+60+8

=2\times10000+0\times1000+0\times100+6\times10+8\times1

=2\times10^4+0\times10^3+0\times10^2+6\times10^1+8\times10^0

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Question 1

Q1) Write the following numbers in the expanded forms:

(i) 2,79,404

(ii) 30,06,194

(iii) 28,06,196

(iv) 1,20,719

(v) 20,068

Solution 1:

(i) 2,79,404

200000+70000+9000+400+00+4\times1

2\times10000+7\times10000+9\times10000+4\times100+00+4\times1

2\times10^5+7\times10^4+9\times10^3+4\times10^2+0\times10^1+4\times10^0

(ii) 30,06,194

=3000000+0+0+6000+100+90+4

=3\times1000000+0+0+6\times1000+1\times100+9\times10+4\times1

=3\times10^6+0\times10^5+0\times10^4+6\times10^3+1\times10^2+9\times10^1+4\times10^0

(iii) 28,06,196

=2000000+800000+0+6000+100+90+6

=2\times1000000+8\times100000+0+6\times1000+1\times100+9\times10+6\times1

=2\times10^5+8\times10^4+0\times10+6\times10^3+1\times10^2+9\times10^1+6\times10^0

(iv) 1,20,719

=1000000+20000+0+700+10+9

1\times100000+2\times10000+0+7\times100+10\times1+9\times1

=1\times10^5+2\times10^4+0+7\times10^2+1\times10^1+9\times10^0

(v) 20,068

=20000+00+00+60+8

=2\times10000+0\times1000+0\times100+6\times10+8\times1

=2\times10^4+0\times10^3+0\times10^2+6\times10^1+8\times10^0

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