Classify the following number. select all that apply. -3 irrational rational integer whole natural

Answers: Rational, Integer

A rational number is anything we can write as a ratio or fraction of two whole numbers. In this case, -3 = -3/1 is the fraction of -3 over 1. This is why -3 is rational. This means it is not irrational. The literal definition of "irrational" means "not rational", which contradicts the previous statement of it being rational.

An integer is any positive or negative whole number. The value 0 is included as well. So -3 is also an integer. Any integer is a rational number, but not the other way around (eg: 2/3 is rational but not an integer).

The set of whole numbers is usually defined in your book to be {0, 1, 2, 3, 4, ...} which is the set of positive numbers without any decimal or fractional parts. The value 0 is included. We see that -3 is not in this set. So -3 is not in the set of whole numbers.

The set of natural numbers is {1, 2, 3, 4, ...} which is essentially the set of whole numbers, but kick out 0. This set is also known as the set of counting numbers. Like before, we don't see -3 in here so -3 is not in the set of natural numbers.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl