What is the relationship between rational numbers and Integers?

Mathematics

2 answers:

miskamm [114]4 years ago

8 0

Answer:

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Step-by-step explanation:

A rational number such as 4/2 is also an integer: 2. A rational number such as 4/3 is not an integer. Hence, integers are a subset of rational numbers.

iragen [17]4 years ago

3 0

Answer:

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Step-by-step explanation:

3 is integer but it can be written as $\frac{3}{1} \ or \ \frac{6}{2},.. etc.$ which is rational form. Hence every integer can be express as Rational Number.

Thus the last option is correct.

Further, Integers can be defined as the whole numbers including zero and positive whole numbers. i.e. ......,-3, -2, -1, 0, 1, 2, 3,.....

Example: -546, 87855889, 0, etc.

Rational Number is the number in the form $\frac{p}{q}$ , where q≠0.

Example: $\frac{2}{9}, \frac{-1}{267}, \frac{875}{2}, 3, etc.$

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Justice lived in Germany and Hollands for a total of 24 months in order to learn German. He learned and average of 120 words per

lesantik [10]

Answer:

Justice lived in Germany for 15 months and he lived in Holland for 9 months.

Step-by-step explanation:

1. You must make a system of equations:

$\left \{ {{x+y=24} \atop {120x+220y=3780}} \right.$

Where $x$ is the number on months he lived in Germany and $y$ is the number on months he lived in Holland.

2. You can solve this system of equations by using the Elimination Method. If you multiply the first equation by -120, you can cancel the variable $x$ when you add both equations, and then you can calculate $y$ . When you obtain the value of $y$ , you can substitute it into one of the original equations and solve for $x$ . Then:

$\left \{ {{-120x-120=-2880} \atop {120x+220y=3780}} \right.$