The Evolution of the
R E A L N U M B E R S
A UNIT -- One -- is the source of a number of anything. We count units.
A unit fraction is a fraction whose numerator is 1.
"One fifth, two fifths,three fifths,"
and so on.
Every fraction is thus a number of unit fractions.
The denominator of a fraction names the unit The numerator tells their number -- how many.
how many of them are there?
Problem 1. Which numbers are the decimal unit fractions?
To see the answer, pass your mouse over the colored area.
.1, .01, .001, .0001, etc.
Again: Each fraction is a number of unit fractions.
Problem 4. Write each of the following as a sum of unit fractions.
b) What number is the smallest? There is none.
Problem 6. 1 is equal to
1 is a multiple of every unit fraction.
greater than 1?
For more on unit fractions, see Lesson 21 of Arithmetic.
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