rational & irrational number
Is -109 a rational number?
Explain.
Because it can be written as fraction or terminating decimals.
7
what is cube root 64
4
What is 0.666… as a fraction
2/3
compare -2 and -3, which one is bigger.
-2
Is 1.232342345... rational number.
Explain
23/234/2345
Give three examples of perfect cubes
1, 8,27,64,125,216,343,512,729,1000
If I have a number with one repeating decimal (e.g., 0.666..., 0.888...) and I want to convert to fractions, which number should I multiply by: 10, 100, or 1000? Explain.
10, Because there is only one repeating number.
compare (square root 35) and (square root 36), which one is bigger,
square root 36
Is square root 133 rational number?
Explain
No,
Because 133 is not a perfect square.
what is 152
225
Evaluate cube root -1
-1
If I have a number with two repeating decimal (e.g., 0.8787..., 0.2121...) and I want to convert to fractions, which number should I multiply by: 10, 100, or 1000? Explain.
100, because there are two repeating decimals.
compare (square root 123) and (11).
Explain.
What are three forms of rational numbers?
(rational number can be written as 3 forms...)
1. terminating decimals
2. repeating decimals
3. fraction
What are the two closest perfect squares to 11?
9 and 16
Evaluate cube root -27
-3
What is 0.8787... as a fraction.
Show your work.
x=0.8787...
100x=87.8787...
99x=87
x=87/99
Closer to 5, because 21 is closer to 52=25
Give 3 examples of irrational number.
pi, numbers are not repeating, terminating decimals, or non-perfect square under square root.
What are two closest perfect squares for 80
64, 81
give 2 numbers that are both perfect squares and perfect cubes
1,64
What is 1.2323... as a fraction.
Show your work.
x=1.2323...
100x=123.2323...
99x=122
x=122/99
Compare 3.5 and square root 12. Explain.
3.5 is bigger, because 3.52=12.25, so 3.5=square root 12.25, which is bigger than square root 12