Download 3.6 Solving Decimal Equations Find exact and approximate

3.6 Solving Decimal Equations
3.6 Solving Decimal Equations
Find exact and approximate solutions of equations that
contain decimals:
Review
1
2
3
But Now:
Round your answers to the nearest hundredth:
4
5
6
Write an equivalent equation with no decimals then
round to the nearest hundredth to solve:
7
8
9
10
3.6 Solving Decimal Equations
3.6 Solving Decimal Equations
Rational and Irrational Numbers
Rational numbers can always be written as
fractions of two integers.
Examples
5
4
0
3
9
√9
.8
.73
.1
Nonexamples are known as Irrational
Numbers-numbers that cannot be written as
a fraction of two integers.
√7 π √5
5
0
When applying operations to rational and
irrational numbers the following are always
true:
Rational + Rational = Rational
Rational + Irrational = Irrational
Rational * Rational = Rational
Rational (non-zero) * Irrational = Irrational
Irrational + Irrational = Anything
Irrational * Irrational = Anything
3.6 Solving Decimal Equations
Examples:
2+2=
π * √5 =
2*2=
2
π+π=
4
π*
1
π
=
π + -π =
3
7
+
7
*
3
2
5
=
=
√5 * √5 =
π+2=
Word Problem Logic:
Suppose we measure the height of every
person in the class and rounded to the
nearest inch. If we added all the heights
together would the number be rational or
irrational? Explain.
Suppose we measured the length and
width of a rectangular room and rounded
to the nearest half inch. Would the area
be rational or irrational? Explain.