Lesson 4
Practice Makes Perfect
Prowess with powers
Page 129
Your answer :
2( 10 − 1 ) + 5( 10 − 2 ) = .25 .
You are correct.
2( 10 − 1 ) + 5( 10 − 2 ) = ( 2 )/( 10 ) ( 5 )/( 100 )
Very well, here are four sets of sums of multiples of powers of different numbers. One set contains a mistake. Which is it?
7( 81 ) + 3( 80 )
= 59
1( 22 ) + 1( 21 ) + 1( 20 )
= 7
3( 101 ) + 4( 100 ) + 5( 10 − 1 )
= 34.5
1( 92 ) + 3( 91 ) + 7( 90 )
= 115
⎫ ⎪ ⎪ ⎬ ⎪ ⎪ ⎭ This set contains a mistake .
1( 21 ) + 1( 20 ) + 1( 2 − 1 )
= 3( 1 )/( 2 )
7( 103 ) + 6( 102 ) + 4( 101 ) + 2( 100 )
= 7, 642
2( 72 ) + 3( 71 ) + 4( 70 )
= 123
1( 8 − 1 ) + 2( 8 − 2 )
= ( 10 )/( 64 )
⎫ ⎪ ⎪ ⎬ ⎪ ⎪ ⎭ This set contains a mistake .
1( 23 ) + 0( 22 ) + 0( 21 ) + 1( 20 )
= 9
3( 1001 ) + 4( 1000 )
= 304
7( 103 ) + 6( 102 ) + 2( 101 ) + 1( 100 )
= 7, 621
1( 14 ) + 1( 13 ) + 1( 12 ) + 1( 11 ) + 1( 10 )
= 5
⎫ ⎪ ⎪ ⎬ ⎪ ⎪ ⎭ This set contains a mistake .
3( 10 − 1 ) + 7( 10 − 2 ) + 6( 10 − 3 )
= .376
1( 52 ) + 1( 51 ) + 4( 50 )
= 34
1( 22 ) + 0( 21 ) + 1( 20 )
= 5
3( 42 ) + 2( 41 ) + 1( 40 )
= 60
⎫ ⎪ ⎪ ⎬ ⎪ ⎪ ⎭ This set contains a mistake .
Answer to Self-Test Question 7, Lesson 4 :
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