Exponents And Powers Worksheets - Class 8, National Council Of Educational Research And Training Page 29
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36U N I T - 8
169. The left column of the chart lists the lengths of input chains of gold.
Repeater machines are listed across the top. The other entries are
the outputs you get when you send the input chain from that row
through the repeater machine from that column. Copy and complete
the chart.
Input Length
Repeater Machine
× 2
3
40
125
2
162
170. Long back in ancient times, a farmer saved the life of a king’s
daughter. The king decided to reward the farmer with whatever he
wished. The farmer, who was a chess champion, made an unusal
request:
“I would like you to place 1 rupee on the first square of my chessboard,
2 rupees on the second square, 4 on the third square, 8 on the
fourth square, and so on, until you have covered all 64 squares.
Each square should have twice as many rupees as the previous
square.” The king thought this to be too less and asked the farmer to
think of some better reward, but the farmer didn’t agree.
How much money has the farmer earned?
[Hint: The following table may help you. What is the first square on
which the king will place at least Rs 10 lakh?]
Position of Square
Amount
on chess board
(in Rs)
1st square
1
2nd square
2
3rd square
4
171. The diameter of the Sun is 1.4 × 10
9
m and the diameter of the Earth
7
is 1.2756 × 10
m. Compare their diameters by division.
172. Mass of Mars is 6.42 × 10
29
kg and mass of the Sun is 1.99 × 10
30
kg. What is the total mass?
E E E E E
P P P P P
273
273
273
273
273
XPONENTS
XPONENTS
AND
AND
OWERS
OWERS
XPONENTS
XPONENTS
XPONENTS AND
AND
AND
OWERS
OWERS
OWERS
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