Which number produces an irrational number when added to 0.4
19 answers
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).
Which number produces an irrational number when added to 0.4
√9
3 π
0.444...
2/7
√9
3 π
0.444...
2/7
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.
√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.
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
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
The correct statement is: A rational number can be written as a fraction.
Which number produces an irrational number when multiplied by 1/3
0.166
-√17
2/3
2
0.166
-√17
2/3
2
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.
√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.
True or False:
The number 0.3333... repeats forever; therefore, it is irrational.
The number 0.3333... repeats forever; therefore, it is irrational.
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.
Which number is irrational?
√5
0.3
0.777...
0.454545...
√5
0.3
0.777...
0.454545...
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.
√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.
Which number is rational?
0.333...
0.83587643
π
√7
0.333...
0.83587643
π
√7
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.
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.
Which number produces a rational number when multiplied by 0.5?
√3
-1.73205089
1/3
0.54732814
√3
-1.73205089
1/3
0.54732814
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.
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.
Which number produces a rational number when added to 1/5?
- 2/3
√11
π
-1.41421356
- 2/3
√11
π
-1.41421356
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.
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.
True or false:
The number 0.8 can be written as 8/10, so it is an irrational number.
The number 0.8 can be written as 8/10, so it is an irrational number.
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.
3 answers