(25−−√ 9 −−−√64−−√ are these rational
11 answers
Yes, since both √9 and √64 are integers (3 and 8, respectively), √9 and √64 are rational numbers. Thus, (25−−√, √9, and √64 are all rational numbers.
( -2.4, 0, 3.1, 81−−√ )
Among the given numbers, -2.4 and 3.1 are irrational because they are decimal numbers that cannot be expressed as fractions. On the other hand, 0 is a rational number since it can be written as 0/1.
As for the square root of 81, it is equal to 9, which is a rational number because it can be expressed as a fraction (9/1). So, the numbers in the given list that are rational are: 0 and the square root of 81.
As for the square root of 81, it is equal to 9, which is a rational number because it can be expressed as a fraction (9/1). So, the numbers in the given list that are rational are: 0 and the square root of 81.
(−2/3, 7/9, π/2
Among the given numbers, -2/3 and 7/9 are rational numbers because they can be expressed as fractions. -2/3 = -0.666... and 7/9 = 0.777..., both of which have repeating decimal representations, but they can still be written as ratios of integers.
On the other hand, π/2 (pi/2) is an irrational number. It is a non-repeating and non-terminating decimal, and cannot be expressed exactly as a fraction.
Therefore, among the given numbers, -2/3 and 7/9 are rational numbers, while π/2 is an irrational number.
On the other hand, π/2 (pi/2) is an irrational number. It is a non-repeating and non-terminating decimal, and cannot be expressed exactly as a fraction.
Therefore, among the given numbers, -2/3 and 7/9 are rational numbers, while π/2 is an irrational number.
12−−√, 11−−√, π
Among the given numbers, 12−−√ and 11−−√ are irrational numbers. They cannot be expressed exactly as fractions or as terminating or repeating decimals.
On the other hand, π (pi) is also an irrational number. It is a non-repeating and non-terminating decimal.
Therefore, all three given numbers, 12−−√, 11−−√, and π, are irrational numbers.
On the other hand, π (pi) is also an irrational number. It is a non-repeating and non-terminating decimal.
Therefore, all three given numbers, 12−−√, 11−−√, and π, are irrational numbers.
Match the number with the correct description.(5 points)
0.424242424...
16−−√
0.789
0.133134135...
101−−−√
Irrational because the decimal is non-terminating, non-repeating
Rational because the decimal repeats
Rational because it is the square root of a perfect square
Rational because the decimal terminates
Irrational because the decimal repeats
Irrational because it is the square root of a non-perfect square
Rational because the decimal does not terminate
0.424242424...
16−−√
0.789
0.133134135...
101−−−√
Irrational because the decimal is non-terminating, non-repeating
Rational because the decimal repeats
Rational because it is the square root of a perfect square
Rational because the decimal terminates
Irrational because the decimal repeats
Irrational because it is the square root of a non-perfect square
Rational because the decimal does not terminate
0.424242424... - Rational because the decimal repeats
16−−√ - Rational because it is the square root of a perfect square
0.789 - Rational because the decimal terminates
0.133134135... - Irrational because the decimal is non-terminating, non-repeating
101−−−√ - Irrational because it is the square root of a non-perfect square
16−−√ - Rational because it is the square root of a perfect square
0.789 - Rational because the decimal terminates
0.133134135... - Irrational because the decimal is non-terminating, non-repeating
101−−−√ - Irrational because it is the square root of a non-perfect square
Between which pair of rational numbers on a number line does 38−−√ lie?(1 point) Responses
Between 6.3 and 6.5
Between 19 and 19.2
Between 18.9 and 19.1
Between 6.1 and 6.2
Between 6.3 and 6.5
Between 19 and 19.2
Between 18.9 and 19.1
Between 6.1 and 6.2
To determine the pair of rational numbers between which 38−−√ lies, we can estimate its value to the nearest hundredth.
Using a calculator, we find that √38 is approximately equal to 6.164.
Hence, 38−−√ lies between 6.1 and 6.2.
Therefore, the correct option is: Between 6.1 and 6.2.
Using a calculator, we find that √38 is approximately equal to 6.164.
Hence, 38−−√ lies between 6.1 and 6.2.
Therefore, the correct option is: Between 6.1 and 6.2.