Download Rational numbers

Unit 1
Lesson 1
Elements. How to read
a
b
Fraction
Numerator
(Top number)
Denominator
(Bottom number)
3
4
“Three fourths”
“Three over four”
“Three divided by four”
Rational numbers
3
5
Proper fraction
3<5
Numerator is smaller than
denominator
Whole
number
6
3
7
Mixed number
11
3
Improper fraction
11>3
Numerator is greater than
denominator
Decimal Number
Fraction
number
0.56 / 0 56
Decimal point
Working out
24
18
3
5
2
2
6
10
3 10
,
5 8
1 9
,
4 14
3
3
21
35
4
3
4
3
30
50
LCM/LCD : Lowest Common
Multiple/Denominator
LCM(5,8)= 5x8=40
CD: Common Denominators
CD={40, 80, 120,...}
LCD(4,14)= 28
CD={28, 56, 84,...}
To cancel / To
simplify / To express
in simplest form
...
Producing
equivalent
fractions
24 80
,
40 40
7 18
,
28 28
Finding a
common
denominator
Working out
Rewrite a fraction as a percentage
3
5
3 100
60% because
5
60
Rewrite a mixed number as an improper fraction
5
2
3
2
5
3
6
3
5
3
11
3
Rewrite an improper fraction as a mixed number
25
7
25 7
4
4
3
7
3
ALSO: Convert from a ... to a ... / Change a ... to a ...
Expressions. How to read
x 1
2
, b, 34%, 7
3 2
5
y
4
,
3
7
4
y
12
“x over three”
“(One) half (of) b”
“Thirty-four percent”
“Seven and two fifths”
“y equals four thirds”
“Seven fourths equals y
over twelve”
“Zero point forty-five”
“78 point 3”
0· 45, 78· 3, 9· 666... 9· 6
Recurring/Repeating decimal.
“9 point recurring 6”
Comparing
5
7
1
2
2
7
“Five sevenths is BIGGER/
GREATER THAN two sevenths”
5
15
1
3
3
9
2
3
“One half is SMALLER/
LESS THAN two thirds”
“Five fifteenths, one
third and three
ninths are
EQUIVALENT”
Equations. How to read
3x
8
x
4
2
6
x
“3 eighths (of) x / (3 x over 8) minus a quarter (of) x /(x
over 4) equals 2 sixths minus x”
x
4
2
1 2x
3
3
2
“x minus 4 all over 2 EQUALS 1 minus 2x all over 3 plus 3
halves”