The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any 
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have 
so
Answer:
7.25
Step-by-step explanation:
2 7/8 + 3 2/8 * 1 1/8 = 7.25
Answer: The answer and explanation is in the image.
Answer:
102 cm2
Step-by-step explanation:
First you want to find the area of the entire rectangle by multiplying the 2 sides.
20cm x 6cm = 120
Then you want to find the area of the other two shapes (in this case the square and triangle). Also use the other sides to find the lengths of the triangle.
Square = 3 x 3 = 9
triangle = 6 x 3 = 18 / 2 = 9
So then all you have to do is subtract the squares and triangles area from the total rectangle.
120 - (9 + 9)
120 - 18
102 cm2
Hope this helps! Feel free to message me for anymore help!
A) because the decimal is repeating, 625.49 is irrational.
B) because 625.89 can be written as the ratio of two integers, 62589 and 100000, this is a rational number.
C) sqrt(90) can be factored: sqrt(9)*sqrt(10). sqrt(9) = 3 (rational), but sqrt(10) is irrational. Thus sqrt(90) is irrational.
D) You try this one yourself, OK?
