Solve the inequality and graph the solution on a number line 2x 5 3 Answer x 4 Lesson 63 Rational Numbers NonTerminating Decimals and Percents Fractions with Negative Exponents ID: 421092
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Slide1
Bell Work:
Solve the inequality and graph the solution on a number line.
2x – 5 ≤ 3Slide2
Answer:
x ≤ 4Slide3
Lesson 63:
Rational Numbers, Non-Terminating Decimals and
Percents
, Fractions with Negative ExponentsSlide4
Recall that every rational number can be expressed as a ratio of two integers. Converting the ratio to a decimal number results in a decimal that terminates (ends) or does not terminate but has repeating digits. Slide5
Terminating: 1/8 = 0.125
Non-Terminating but repeating:
1/11 = 0.09090909Slide6
We do not perform computations with a decimal number that has a bar over the
repetend
. Instead we use the fraction equivalent, or we round the decimal number to an appropriate number of decimal places. Slide7
Example:
Express 2/3 as an equivalent decimal and percent. Then express 2/3 as a decimal rounded to the thousandths place. Slide8
Answer:
Decimal: 0.6
Percent: 66 2/3%
Rounded: 0.667
___Slide9
Example:
Express 16 2/3% as a reduced fraction and as a decimal.Slide10
Answer:
16 2/3% =
16 2/3
100
50/3 x 1/100 = 1/6
1/6 = 0.16
____Slide11
Practice:
Arrange these numbers in order from least to greatest.
4/5, 83 1/3%, 0.83Slide12
Answer:
4/5, 0.83, 83 1/3%Slide13
Practice:
The incumbent received 41 2/3% of the 1260 votes cast in the town council election. Describe how to estimate the number of votes the incumbent received. Then calculate the exact number of votes. Slide14
Answer:
40% of 1260 will be a little more than 500.
41 2/3% = 125/300 = 5/12
5/12 x 1260 = 525 votesSlide15
Recall that the negative exponent indicates the reciprocal of the positive power of the base.
x =
1
3 =
1
x 3
-n -2
n 2Slide16
Also recall that with fractions we reverse the position of the numerator and the denominator to form the reciprocal.
the reciprocal of x/y = y/xSlide17
If the base of a negative exponent is a fraction, we make the exponent positive by replacing the fraction with its reciprocal.
(x)
=
(y)
(y) (x)
-n nSlide18
Example:
Simplify
(1)
(3)
-2Slide19
Answer:
9Slide20
HW: Lesson 63 #1-25