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Q: What is the result of multiplying a number by an integer?
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The result of multiplying a number by an integer?

Unless the number is zero, or the integer is 1, it is another number.


Is 21 a square number itself?

No, 21 is not a square number. A square number is the result of multiplying an integer by itself, and 21 cannot be expressed as the square of an integer.


Can a perfect square be a rational number?

yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.


When multiplying two numbers with different signs the result will be?

Multiplying a positive and negative number will give a negative result. The result is a negative number.


When you multiply two rational numbers will you always get a number that is smaller than the two factors?

No. A rational number is ANY number that can be represented as one integer over a second integer (which cannot be zero). There is no requirement that the top integer is less than the bottom integer (an improper fraction is still a rational number - all integers are rational numbers as they can be represented as an improper fraction with a 1 as the denominator). Only if both rational numbers are less than 1 will the result of multiplying them together be less than both of them. If one rational number is greater than 1 and the other less than 1, then the result of multiplying them together is greater than the number less than 1 and less than the number greater than 1. If both rational numbers are greater than 1, then the result of multiplying them together is greater than both of them.