math
posted by DJ on .
Double check please
Write each of the following as a common fraction or mixed number. Write your answer in lowest term
28. 15.35
Answer: 1535 / 100 = 307/20 = 15 35/100 is 15 7/20
Complete each of the following statement, using the symbol < or >
5/16 _0.313
Answer >

We have the decimal number:
15.35, which becomes 15(35/100).
The fractional part can be reduced.
What is the biggest number that can evenly fit into 35 and 100 without a remainder?
How about 5?
35/5 = 7
100/5 = 20
Final answer:
5_7/20
===============
The inequality symbols have names:
> means GREATER THAN
< means LESS THAN
The arrow ALWAYS points to the smaller number.
We have a fraction on the left and a decimal number on the right:
5/16 ___ 0.313
Which inequality symbol goes on the line?
When we divide 5 by 16, we get 0.3135, right?
Which is bigger?
0.3135 or 0.313?
Of course, 0.3135 is bigger.
Final answer:
5/16 > 0.313
Done! 
INEQUALITY AND GRAPH
5x7(x+1)>9
<++++++++++>
4321 0 1 2 3 4 5 
5 x  7 x  7 >9
2 x > 2
divide both sides by 2. When you multily both sides by a negative number, change direction of arrow.
x < 1
put an open circle around x =1 and an arrow to the left.
+++++++++++++++++++++++++++++
check, try x = 0
5*0  7*0  7 >9 ?
7 > 9 sure enough
try x = 1 (should be right on the edge)
5  7(2) > 9 ?
5  14 >9
9 >9 sure enough, this is the edge