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
<span>Quin is adding the compensation needed instead of subtracting. First she calculated 40x4. She is trying to find 37x4. To do this, she would have to instead gather all the data:
3x4 = 12
40x4 = 160
Subtract instead of add:
40x4 - 3x4 = ?
160 - 12 = 148
The answer is 148.</span>
1. 9(60) = 540 minutes.
2. There is 0.5 pints = 1 cup, so three cups. :)
3. 4(2) = 8 pints.
4. 1,00 millimeters = 1 meter, so 9 meters.
Hope it helps! :)
Answer: The slope is 1/4.
Step-by-step explanation:
To find the slope, find two points on the line and find the difference in their y coordinates and divide it by the difference in their x coordinates .
(0,20) and (40,30)
Difference in y: 30 - 20 = 10
Difference in x: 40 - 0 = 40
Slope: 10/ 40 = 1/4
Look up the answers with mathcam.
