# Real Numbers Worksheet Page 3

10
n
a
a
 
10
n
m
10
m
b
b
Subtract the exponents on 10 and divide the other parts of the numbers separately.
.
.
10
3.4
10 .
Ex 5:
Part 6: Percents
A percent is a ratio of a number to 100. A percent can be expressed using the percent symbol %.
Ex. 6: 10 percent or 10% are both the same, and stand for the ratio 10:100.
A percent is equivalent to a fraction with denominator 100.
Ex 7: 5% of something = 5/100 of that thing.
Percent and hundredths are basically equivalent. This makes conversion between percent and
decimals very easy.
To convert from a decimal to a percent, just move the decimal 2 places to the right. For example,
0.15 = 15 hundredths = 15%.
Ex 8: 0.0006 = 0.06%.
Converting from percent to decimal form is similar, only you move the decimal point 2 places to
the left. You must also be sure, before doing this, that the percentage itself is expressed in
decimal form, without fractions.
Ex 37: Express 3% in decimal form. Moving the decimal 2 to the left (and adding in 0's to the
left of the 3 as place holders,) we get 0.03.
Ex 9:
Percent
Fraction
Decimal
34.6
346
173
34.6%
0.346
100
1000
500
Because it is very easy to switch between a decimal and a percent, estimating a percent is as easy
as estimating a fraction as a decimal, and converting to a percent by multiplying by 100