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# Math and Arithmetic

Al Leuschke

Lvl 10
2021-10-09 18:35:19
3.67
3 Reviews

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Cards in this guide (25)
Can you add an irrational number and a rational number

Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational.

1.a +b =c

Where a and c are rational and b is irrational.

2.b=c-a

Subtracting the same number a from each side.

3.b is irrational c-a is a rational number we arrived at a contradiction.

So the sum is an irrational number.

Is a rational number an irrational number

No rational number is an irrational number.

6.4 and 6.40 equivalent or not equivalent

yes these are equivalent

How do you determine whether an expression is rational algebraic expression or not

If the algebraic expression can be written in the form of a(x)/b(x) where a(x) and b(x) are polynomial functions of x and b(x) â‰  0, then the expression is a rational algebraic expression.

Is 6 a rational or irrational number

6 is a rational number.

Is 4.6 irrational or rational

4.6 is rational.

Would pie be an irrational number

Pie is an irrational number because it has infinite decimal places.

Why the sum difference and product of 2 rational numbers rational

A rational number is one that can be expressed as a/b

The sum of two rational numbers is:

a/b + c/d

=e/f

which is rational

The difference of two rational numbers is:

a/b - c/d

=ab/bd - bc/bd

=(ab-bc)/bd

=e/f

which is rational

The product of two rational numbers is:

(a/b)(c/d)

=ac/bd

=e/f

which is rational

Is 0.345 345 345 rational or irrational

0.345345345(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Is the square root of 5.777 rational or irrational
Irrational.

Irrational.

Irrational.

Irrational.
What type of number is 10 divided by 3

3.3333

Is the number 0.034134413444134 rational or irrational

Rational.

Rational.

Rational.

Rational.

What is 6 165ths as a whole number

6/165 is a rational fraction and there is no sensible way to express it as a whole number.

Is 3.33333 a rational or irrational number

Since the number 3.33333 can be expressed in a fraction form, it is a rational number.

Is the square root of 200 irrational or a rational number

It is an irrational number

Is square root of 101 rational or irrational

It is irrational.

Is the product of a rational number and an irrational number an irrational

Not necessarily. 0 times any irrational number is 0 - which is rational.

What number is 3.21 irrational

3.21 is rational, not irrational.

Is the square root of 22 irrational or rational

irrational

Which number produces an irrational number when multiplied by 0.4

Any irrational number will do.

Is 0.05 a rational or irrational number

It is a rational number.

Is 22 rational or irrational

Any whole number is RATIONAL, since you can write it as a fraction with a denominator 1. In this case, 22/1.

Is 28 squared rational or irrational

28 squared is 784 which is a rational number

Is a rational number times a irrational number

Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]

0 [rational] * sqrt(2) [irrational] = 0 [rational]

Is 4 32 rational or irrational

It is a rational number

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