Worth 50 points 1 classify −0. in as many groups on the venn diagram as possible. a) integer b) irrational c) rational, integer d) irrational, integer 2integers are whole numbers. a) always b) sometimes c) always positive d) always negative 3 on the venn diagram, which set of real numbers includes −24.3? a) naturals b) integers c) irrationals d) rationals 4 on the venn diagram, which would be classified as a whole number? a) −2π b) 2. c) 12 d) 4 5 classify −17.3 in as many groups on the venn diagram as possible. a) integer b) rational c) irrational d) rational, integer 6 which of these numbers is a rational integer? a) −0.125 b) −50 c) π d) 7/10 7 where would you place 5/8on the venn diagram? a) integers b) natural numbers c) rational numbers d) irrational numbers 8 classify 72 in as many sets as possible on the venn diagram. a) integers b) whole numbers c) real, irrational d) real, rational 9 classify the number 85 in as many groups on the venn diagram as possible. a) rational b) irrational c) rational, integer d) rational, integer, whole 10 where does −12 belong on the venn diagram? a) integers b) natural numbers c) rational numbers d) irrational numbers
1) B irrational
2) B sometimes because a negative integer is not a whole number
3) C irrationals
4) C and D are whole numbers
5) C irrational
6) D 7/10 because a rational number is always a faction
7) C rational numbers
8) D real and rational
9) D rational, real, whole number
10) A integers
2. The statement "Every real number is a rational number." is false, since real numbers are composed of both rational and irrational numbers.
3. The number "8.52624 . . ." because this is the only non-terminating number, which makes it the only irrational number on the list.
4. "Irrational numbers cannot be classified as rational numbers." is the only correct statement. No irrational numbers can be rational numbers, and the opposite is also true.
5. Only the statement "Every irrational number is a real number." is true.
The statement is:
"The sum of two irrational numbers is always an irrational number."
We know that √2 is an irrational number.
Then the opposite number, (-1)*√2 is also an irrational number.
Then we can sum two irrational numbers like:
√2 + (-√2) = 0
and 0 is a rational number.
Then we have found a counter-example, which means that the statement is false.
its b. just took the test
-5 because the number is before zero which irrational number
I think it is c
The sum of two rational numbers is always rational. sqrt(9) + sqrt(25) = 3 + 5 which is rational. sqrt(16/100) = 4/10 = 2/5 is also rational. 3/28 is rational as well.
Those are irrational. sqrt(10) + pi = You cannot reduce this to any kind of fraction. Two irrationals always give a rational.
The irrational number controls the answer. 10 + sqrt(5) is irrational. The 10 is OK. It is raional, but sqrt(5) is not a rational number.