Question

Medal 1. Which of the following numbers is a rational?
A. 4/5
B. square root of 27
C. 4.02002000200002...
D. Square root of 31

2. Which type of number is shown below?
0.313311333111...

A. repeating decimal
B. rational
C. irrational
D. terminating decimal

3. Select all the rational numbers from the list.

A. square root of 2
B.8.21221112221111 ****
C. 8.333333333...
D. square root of 80
E. square root of 25

4. Select all the irrational numbers from the list.
A. square root of 16
B.square root of 7 *****
C. 813.1 ****
D. -9
E. 8.070070007...

Answer 1

I think 2 is c and 1 is c am I right and the ones with *** is my choice

Answer 2

rational means it can be expressed as a ratio of 2 integers

Answer 3

so is it a for 1

Answer 4

For 1, yes it is A.

Answer 5

Here are another couple of ways to identify rational numbers.
If the decimal terminates, then it will have a rational representation.
For example: \(\rm 12.78931146\) is a rational number because the decimal ends (terminates).

Alternatively, if the decimal does not terminate but goes on forever,
it will still be rational if part of the decimal repeats a pattern over and over.

Example: \(\large\rm 3.043131...\) is rational because the pattern 31 is repeating on forever.

Answer 6

is the rest of them right

Answer 7

Oh I didn't see your guesses :D haah

Answer 8

Problem 2 is correct.

In problem 3, notice that option B does not have a repeating pattern. The pattern keeps changing, more 2s and 1s as it goes along. So that won't be rational.

Answer 9

so is 3 c or d

Answer 10

There are several correct choices for problem 3.

sqrt 2 is not rational because 2 is not a perfect square.
sqrt 4 would be rational though, because 4 is 2^2.

Do any of the other square root options have perfect squares?
Use that information to figure out something about options D and E.

And what's going on with C?
Infinite decimal, but it has a repeating pattern.
So we agreed that would be a rational number, yes good.

Answer 11

so is it c or

Answer 12

can you tell me if im right or wrong

Answer 13

@Sila1453 can you help