By definition, a rational number is a precise number: or in other terms, we know its exact value. Irrational numbers are number that has endless digits on the right of the decimal points: in other terms, we can't know its exact value.
First question: √2.5 = 1.58113.... It's endless, so irrational. -√64 = -8 it's a whole number, so rational. 4√5 = 8.94427.... Endless, so irrational. √14.4 = 3.7947... Endless so irrational.
So -√64 is the rational number.
Second: 7.885 is rational because has a defined number of digits after the decimal points. π² = 9.8696.... Endless, so irrational. √0.144 = 0.3794.... Endless, so irrational √91 = 9.5393.... Endless, so irrational
So 7.885 is the rational number.
Third: -7.8 bar: You can notice the line over the 8, this means that there's an infinite number of 8 after the decimal points. So it's 7.88888888888.... Endless, so irrational. √25 = 5, whole number so rational 25.8125 Has a definite number of digits after the decimal point, so is rational. √0.025 = 0.1581... Endless, so irrational.
So -7.8 bar and √0.025 are irrational.
Fourth: π= 3.1415... Endless, so irrational. 1.425 has a definite number of digits after the decimal point, so rational. √50 = 7.0710.... Endless, so irrational √-4 Doesn't exist. Finding the square root of a negative number is mathematically impossible.
So 1.425 is the rational number.
Fifth: √10 = 3.1622..... Endless, so irrational. √100 = 10, a whole number so rational. √1000 = 31.6227..... Endless, so irrational √100000 = 316.2277...... Endless, so irrational.
√100 is the rational number.
Hope this helps!! :D And I hope you understood the lesson a bit more xD
The area is 16 inches squared and the perimeter is also 16 inches
Step-by-step explanation:
To find the area, you must multiply the length by the width. Since this is a square, you have to multiply one adjacent side by the other. For perimeter, you can either multiply one side by 4 or add all 4 sides.
Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.
in the 1st row, one x^2 is positive while the other is negitive, making the total zero. also in the top row 8x+(-6x) = 2x, but in the 2nd row is says -2x, showing they are not the same. Also there is no -1/2 in the 2nd row like there is in the 1st row