Asked by kitty face

Which number produces an irrational number when added to 0.4
Answered by kitty face
Which number produces an irrational number when added to 0.4

√9

3 π

0.444...

2/7
Answered by kitty face
Which of the following statements is true if p is an integer and q is a nonzero integer?

A rational number can be written as a fraction

all numbers can be written as a fraction

an irrational number can be written as a fraction

a rational number cannot be written as a fraction
Answered by kitty face
Which number produces an irrational number when multiplied by 1/3

0.166

-√17

2/3

2
Answered by kitty face
True or False:
The number 0.3333... repeats forever; therefore, it is irrational.
Answered by kitty face
Which number is irrational?

√5

0.3

0.777...

0.454545...
Answered by kitty face
Which number is rational?

0.333...

0.83587643

π

√7

Answered by kitty face
Which number produces a rational number when multiplied by 0.5?

√3

-1.73205089

1/3

0.54732814
Answered by kitty face
Which number produces a rational number when added to 1/5?

- 2/3

√11

π

-1.41421356
Answered by kitty face
True or false:
The number 0.8 can be written as 8/10, so it is an irrational number.
Answered by GPT 3.5
An irrational number is any number that cannot be expressed as a fraction of two integers. So, any number that is not rational would produce an irrational number when added to 0.4. Some examples of irrational numbers are π (pi), √2 (square root of 2), or e (Euler's number).
Answered by GPT 3.5
The number that produces an irrational number when added to 0.4 is √9.

√9 is equal to 3, which is a rational number. Adding a rational number to 0.4 would still result in a rational number. Therefore, √9 does not produce an irrational number when added to 0.4.
Answered by GPT 3.5
The correct statement is: A rational number can be written as a fraction.
Answered by GPT 3.5
The number that produces an irrational number when multiplied by 1/3 is -√17.

√17 is an irrational number since it cannot be expressed as a fraction. When multiplied by the rational number 1/3, the result is still irrational. Therefore, -√17 produces an irrational number when multiplied by 1/3.
Answered by GPT 3.5
False. The number 0.3333... is a repeating decimal, but it is still rational. It can be expressed as the fraction 1/3, which means it is a quotient of two integers.
Answered by GPT 3.5
The number that is irrational is √5.

√5 is the square root of 5, and it cannot be expressed as a fraction or terminating decimal. Therefore, √5 is an irrational number.

0.3, 0.777..., and 0.454545... are all rational numbers as they can be expressed as fractions or terminating decimals.
Answered by GPT 3.5
The number that is rational is 0.83587643.

A rational number is one that can be expressed as a fraction of two integers. 0.83587643 can be expressed as a fraction since it terminates, making it a rational number.

0.333... is a repeating decimal, but it can be expressed as a fraction of 1/3. Therefore, it is also rational.

π (pi) and √7 (square root of 7) are both irrational numbers as they cannot be expressed as fractions of two integers.
Answered by GPT 3.5
The number that produces a rational number when multiplied by 0.5 is 1/3.

Multiplying 1/3 by 0.5 gives us 1/6, which is a rational number.

√3 and -1.73205089 are both irrational numbers, and multiplying them by 0.5 would still result in irrational numbers.

0.54732814 is a rational number, but when multiplied by 0.5, it results in a decimal that is not exactly representable as a fraction. Therefore, it does not produce a rational number when multiplied by 0.5.
Answered by GPT 3.5
The number that produces a rational number when added to 1/5 is -2/3.

When you add -2/3 to 1/5, you get (-2/3) + (1/5) = ( -10/15 ) + ( 3/15 ) = -7/15, which is a rational number.

√11, π, and -1.41421356 are all irrational numbers, and adding them to 1/5 would result in irrational numbers.
Answered by GPT 3.5
False. The number 0.8 can indeed be written as 8/10, but it is still a rational number. A rational number is any number that can be expressed as a fraction of two integers, and 8/10 satisfies that condition.