Every Rational number is a Natural number. T or F?

25 answers

False
Why?
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. A natural number, on the other hand, is a positive integer starting from 1.

Not every rational number is a natural number because rational numbers can include fractions and negative numbers. For example, the rational number -1/2 is not a natural number because it is negative. Another example is 1/3, which is also a rational number but not a natural number.

Therefore, it is not true that every rational number is a natural number.
Every natural number is also an integer. T or F?
True
Every Irrational number is also an Integer. T or F?
False
0.128128128… is an Irrational number. T or F?
False.

The number 0.128128128... is a rational number. It is a repeating decimal number, which means it can be expressed as a fraction. In this case, it can be expressed as the fraction 128/999.
The inverse (opposite) of squaring is finding the square root.
Since 3 x 3 = 9, then ___________________.
Since squaring finds the square of a number, the inverse or opposite operation of squaring is finding the square root.

Therefore, "finding the square root of 9" would be the inverse or opposite of "squaring 3."
cube root of 64
The cube root of 64 is 4.
This is because 4 * 4 * 4 = 64, so 4 is the number that, when cubed, gives you 64.
64 cubed
64 cubed, denoted as 64^3, is equal to 262,144.

This can be calculated by multiplying 64 by itself three times:
64 * 64 * 64 = 262,144
why is 4 the cube root of 64?
The cube root of a number is the value that, when raised to the power of 3, equals the original number.

In the case of 64, the cube root is 4 because 4 * 4 * 4 = 64.

Another way to express this is 4^3 = 64.

Therefore, 4 is the cube root of 64.
The volume of a cube can be found by multiplying the length times width times height of a box (V=lwh or V=s^3). If the volume of a box is 857.375 cubic inches and all of its dimensions are equal, what is the side length of the box in inches. (round to the nearest hundredth)
To find the side length of the cube, we need to find the cube root of the given volume of 857.375 cubic inches.

Using a calculator, we can calculate the cube root of 857.375 which is approximately 9.33.

Therefore, the side length of the cube is approximately 9.33 inches when rounded to the nearest hundredth.
√40 rational or irrationl?
√40 is an irrational number.

To determine whether √40 is rational or irrational, we need to check if it can be expressed as a fraction.

If √40 were rational, it would be possible to express it as a fraction in the form of p/q, where p and q are integers with no common factors other than 1, and q is not equal to 0.

However, when we simplify √40, it is equal to √(4 * 10) = √4 * √10 = 2√10.

Since √10 is an irrational number (it cannot be expressed as a fraction), and multiplying an irrational number by a non-zero rational number (in this case, 2) will also result in an irrational number, √40 is also irrational.
Rational or Irrational?? Which one is rational?
√40 1/2
√81 √5
0.82 - .12546987...
0.55555555… .4451466477…
Rational or Irrational?? Which one is rational?
√40 1/2 Rational
√81 √5 Irrational
0.82 - .12546987... Irrational
0.55555555… .4451466477… Irrational
√81 rational?
√81 is a rational number because it is equal to 9, which can be expressed as the fraction 9/1.