FRAME 3-3.
Solution to
As indicated in Frames 1-2 and 3-2, place values have names based
Frame 3-2.
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).
hundred-millionths
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 one-tenth (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)
10-3 = 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 3-4.
Solution to
If you combine the information in Frames 1-2, 3-2, and 3-3, you might
Frame 3-3.
come up with something like this:
Frame 3-3 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 10-3
-1
-2
10 10-5
-4
10-6
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
3-3