FRAME 33.
Solution to
As indicated in Frames 12 and 32, place values have names based
Frame 32.
upon the powers of ten. Sometimes, they are written as 10X with the "x"
being the power of ten (the number of times ten is multiplied by itself).
hundredmillionths
For example, ten to the third power is one thousand (103 = 10 x 10 x 10
= 1000).
billionths
This works for whole numbers, but how about decimals? Think about it
as relating to fractions. If the denominator is 103, for example, then the
fraction would be onetenth (1/10) multiplied by itself ten times (1/10 x
1/10 x 1/10 = 1/1000).
If the power of ten refers to whole numbers (numerators, if you will), then
the power number is expressed as a positive number. If the power of ten
refers to a decimal (denominator), then the power number is expressed
as a negative number. Negative numbers are denoted by a minus sign;
numbers with no negative symbol are assumed to be positive.
103 = 10 x 10 x 10 = 1000 (third power; three zeros)
103 = 1
1
1
1
0.001 (negative three; three places
X
X
=
=
10
10
10
1000
to the right of the decimal)
GO TO NEXT FRAME
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FRAME 34.
Solution to
If you combine the information in Frames 12, 32, and 33, you might
Frame 33.
come up with something like this:
Frame 33 had no problem
6
5
4
3
2
1
0 1
2
3
4
5
6
to solve.













106
10 10 10 10 101
5
4
3
2
?
10 10 103
1
2
10 105
4
106
10
Everything falls into place, except for the "ones" value place, which is
also referred to as the "units" place.
What do you think the "?" (unknown power of 10) might be?
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MD0900
33