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A R I T H M E T I C

PERCENT OF A NUMBER

Lesson 29  Section 2

Fractional percent

Back to Section 1

 6. What does ½% mean? Half of 1%.  Half of the hundredth part.

Example 1.   Distinguish the following:

a)  Half of \$600.        b)  ½% of \$600.

a)  Half of \$600 is \$300.

b)  ½% of \$600  means  Half of 1% of \$600.

1% of \$600 is \$6. 00.

(Lesson 4, Question 6.) Therefore,

½% of \$600 is \$3. 00.

Example 2.   How much is half, or 50%, of \$824?  How much is ½% of \$824?

Answer.  Half of \$824 is \$412. (Lesson 16.)  ½% is \$4.12.

Again, ½% means Half of 1%.

1% of \$824 is \$8.24.

½% of \$824 is \$4.12.

Note that half of \$824  and  ½% of \$824 have the same digits: 4, 1, 2.

½% is equal to 1% of half Example 3.   How much is ¼% of \$800?

Answer.   ¼% means a quarter of 1%.

1% of \$800 is \$8.00 .

¼% of \$800 is \$2.00.

Example 4.   Jacqueline deposited \$2000 in the bank, where the interest is 3½% annually.  In one year, how much interest will she earn?

Answer.  We have to calculate 3½% of \$2000.  We can get it from 1%:

1% of \$2000 is \$20.00.

Therefore, 3½% is

 3½ × 20 = "Three times 20  +  Half of 20" (Lesson 27, Question 2) = 60  +  10 = 70.

She will earn \$70 in interest.

Example 5.  Calculator problem.   How much is 6½% of \$104.16?

Solution.   The Amount is missing.  Press

 1 0 4 . 1 6 × 6 . 5 % =

See:

 6.7704

This is approximately, \$6.77.

If your calculator does not have a percent key, then change 6.5% to a decimal (Lesson 4), and press = .   Press

 1 0 4 . 1 6 × . 0 6 5 =

Please "turn" the page and do some Problems.

or

Continue on to Section 3:  To find the Base

Section 1 of this Lesson