check what the result would have been if you choose 96 as a 2 digit number ?. In each case keep a record of the quotient obtained at the end
Answers
Answer:
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Answer:
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Step-by-step explanation:
25 = 20 + 5
= 10 x 2 + 5 x 1 = 10 x 2 + 5
(ii) 73 = 70 + 3
= 10 x 7 + 3 x 1 = 10 x 7 + 3
(iii) 129 = 100 + 20 + 9
= 100 x 1 + 10 x 2 + 1 x 9 = 100 x 1 + 10 x 2 + 9
(iv) 302 = 100 x 3 + 10 x 0 + 1 x 2 = 300 + 0 + 2
Question 2. Write the following in the usual form.
(i) 10 x 5 + 6 (ii) 100 x 7 + 10 x 1 + 8
(iii) 100 x a + 10 x c + b
Solution:
(i) 10 x 5 + 6 = 50 + 6 = 56
(ii) 100 x 7 + 10 x 1 + 8 = 700 + 10 + 8 = 718
(iii) 100 x a + 10 x c + b = 100a + 10c + b = NCERT Solutions(Part- 1)- Playing with Numbers Class 8 Notes | EduRev
[Adding the number with reversed digits to the chosen numbers.]
Question: Check what the result would have been if sundaram had chosen the numbers shown below.
1. 27
2. 39
3. 64
4. 17
Solution:
1. Chosen number = 27
Number with reversed digits = 72
Sum of the two numbers = 27 + 72 = 99
Now, 99 = 11[9] = 11[2 + 7]
= 11[Sum of the digits of the chosen number]
2. Chosen number = 39
Number with reversed digits = 93
Sum of the two numbers = 39 + 93 = 132
Now, 132 ÷ 11 = 12
i.e. 132 = 11[12] = 11[3 + 9]
= 11[Sum of the digits of the chosen number]
3. Chosen number = 64
Number with reversed digits = 46
Sum = 64 + 46 = 110
Now, 110 = 11[10] = 11[6 + 4]
= 11[Sum of the digits of the chosen number]
4. Chosen number = 17
Number with reversed digits = 71
Sum = 17 + 71 = 88
Now, 88 = 11[8] = 11[1+ 7]
= 11[Sum of the digits of the chosen number]
[Finding the difference of the chosen number and the number obtained by reversing the digits.]
Question: Check what result would have been if Sundaram had chosen the numbers shown.
1. 17
2. 21
3. 96
4. 37
Solution:
1. Chosen number = 17
Number with reversed digits = 71
Difference = 71 – 17 = 54
= 9 x [6]
= 9 x [Difference of the digits of the chosen number (7 – 1 = 6)]
2. Chosen number = 21
Number with reversed digits = 12
Difference = 21 – 12 = 9
= 9 x [1]
= 9 x [Difference between the digits of the chosen number (2 – 1 = 1)]
3. Chosen number = 96
Number with reversed digits = 69
Difference = 96 – 69 = 27
= 9 x [3]
= 9 x [Difference between the digits of the chosen number (9 – 6 = 3)]
4. Chosen number = 37
Number with reversed digits = 73
Difference = 73 – 37 = 36
= 9 x [4]
= 9 x [Difference between the digits of the chosen number (7 – 3 = 4)]