Mild
Classify 0.9 as an Whole, Ineger, Decimal (Terminating or Repeating), Rational, Irrational, Real.
0.9 is a Terminating Decimal, Rational and Real.
Why the square root of 81 is a rational number?
The square root of 81 is 9. Nine can be written as a fraction (9/1).
Is 0.3333333 rational?
Yes. 0.3333333 is a rational number because is a repeating decimal and it can be written as a fraction.
0.3333333 = 1/3
Is 1.1515151515... rational? Why or why not>
Yes. -1.1515151515... is a rational number, because it is a repeating decimal and also can be written as a fraction.
-1 15151515... = -1 25/99
What does it mean for a decimal to repeat?
The decimal has a pattern that goes on infinitely.
Is 31.4564778.....rational? Why or why not?
31.4564778..... is not a rational because is a decimal that doesn't repeat and doesn't end. It's irrational.
Is 21.2 rational? Why or why not?
21.2 is a rational number, because it is a terminating decimal and all terminating decimals can be written as fractions.
21.2 equals to 21 2/10 or 21 1/5
Is -8.... rational?
Yes. -8 is a rational number because it is an integer and it can be written as a fraction.
-8 = -8/1
Is 0.89 a rational? Why or why not?
Yes. 0.89 is a rational number because is a terminating decimal and can be written as a fraction.
0.89 = 89/100
What does it mean for a number to terminate?
The digits of the decimal do not go on forever.
Do irrational numbers terminate? Why or why not?
No. Irrational numbers are decimals that never end and never repeat.
Is -356 rational? Why or why not?
-356 is a rational number, because it is an integer. All integers can be written as fractions.
-356 = -356/1
Is 555 the same as 555.01?
No. 555 is a whole/integer number and 555.01 is a terminating decimal.
Is the square root of 144 a rational? why or why not?
Yes. The square root of 144 is a rational number because the square root of 144 is 12. 12 is a whole/integer and it can be written as a fraction.
12 = 12/1
True/False: 6.0 is the same as 6
True
Classify 55 as a Whole, Integer, Decimal (Terminating or Repeating), Rational, Irrational, Real.
55 is a Whole, Integer, Rational and Real.
Is 44.5555555555... rational?
44.5555555555 is a rational number, because it is a repeating decimal. All repeating decimals are rational numbers.
True/False: Irrational can be written as fractions.
Justify your answer.
False. Irrational numbers can't be written as fractions.
Is -3 and 1/6 a rational? What type?
Yes. -3 and 1/6 is a rational number, because it is a repeating decimal and also can be written as an improper fraction.
-3 1/6 = -3.166666... = -19/6
Is 5 times Pi number a rational number? why or why not?
No. 5 times Pi number is NOT a rational number, because Pi is an irrational number.
Classify the square root of 225 as a Whole, Integer, Decimal (Terminating or Repeating), Rational, Irrational, Real.
The square root of 225 is 15.
15 as a Whole, Integer, Rational and Real.
Is 55% rational? Why or why not?
55% is rational because 55% is the same as 55/100 or 11/20. All percentages can be written as a fraction.
It's 1/9 rational? What type?
Yes. 1/9 it's a rational number because 1/9 is a repeating decimal.
1/9 = 0.11111....
Is the square root of 500 a rational? why or why not?
No. The the square root of 500 is not a rational because there is not a perfect square that equals 500. The square root of 500 is an irrational number, because it's answer is a decimal that never ends and never repeats.
Is 11% rational? Why or why not?
Yes. 11% is a rational number because you can write it as a fraction.
11% = 11/100