Match the vocabulary word to the proper definition.
1. rational number
2. irrational number
3. real number
4. infinite
a value which represents any quantity along a number line
a number which can be written as a ratio in fraction form
a number which, when in decimal form, does not terminate or repeat
increasing or decreasing without end
what number goes with what sentence?
To match the vocabulary words to their proper definitions, let's go through each definition:
1. A rational number is a number that can be written as a ratio in fraction form. To find examples of rational numbers, you can take any integer and divide it by another non-zero integer. For instance, 5/2, -3/4, and 7/1 are examples of rational numbers.
2. An irrational number is a number that, when expressed in decimal form, does not terminate or repeat. Examples of irrational numbers include π (pi), √2 (square root of 2), and e (Euler's number).
3. A real number is a value that represents any quantity along a number line. Real numbers include rational numbers, irrational numbers, and also integers and whole numbers. It basically includes every possible number you can think of.
4. Infinite refers to something that is increasing or decreasing without end. In mathematics, this term is often used to describe numbers that have no finite limit or are unbounded. For example, the set of all positive integers is infinite since there is no highest positive integer.
Now, let's match the vocabulary words to the appropriate definitions:
1. A rational number - a number which can be written as a ratio in fraction form
2. An irrational number - a number that, when in decimal form, does not terminate or repeat
3. A real number - a value which represents any quantity along a number line
4. Infinite - increasing or decreasing without end
I hope this helps clarify the match between the vocabulary words and their definitions!
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Better review the topic if you had trouble with these.