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Math and Arithmetic

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Kamryn Renner

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Cards in this guide (12)
Why the product of nonzero rational number and a rational number is an irrational

Actually the product of a nonzero rational number and another rational number will always be rational.

The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

Is an irrational number plus an irrational number rational

No.

The sum of an irrational number and any other [real] number is irrational.

Which of the following statements is true if p is an integer and q is a nonzero integer

Then p/q is a rational number.

The sum of a rational number and an irrational number is

The sum of a rational and irrational number must be an irrational number.

Which number produces a rational number when added to 0.25

Every rational number does.

What type of number cannot be written as a fraction pq where p and q are integers and q is not equal to zero

an irrational number

The number 0.4 can be written as 410 so it is a rational number

That is correct.

Which number produces a rational number when added to 15

Any rational number does.

How algebraic expression is a difference with two terms

An algebraic expression need not be a difference of two terms.

Can 0.2 can be written as so it is a rational number

0.2 is a rational number. It can be written as 2/10

What tule of number cannot be written as a fraction p\q where p and q are integers and q is not equal to zero

T

Which number produces an irrational number when multiplied by 1/3

J

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