???????????????????? :((
1 answer:
Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as . A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form
, where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers <em>cannot</em> be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither <em><u>terminating</u></em>, nor <em><u>repeating</u></em>. A couple examples of irrational numbers are: π and , as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. <u>Real numbers</u> comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
You might be interested in
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
