Rational numbers are numbers that can be expressed as a fraction (ratio). Irrational numbers can not be expressed like that (like sqrt(2)).
To prove your statement, assume the opposite until you have a contradiction.
If the result of adding them would be rational, then your irrational number can be expressed as the difference of two rational numbers, which itself is also a rational number. That cannot be, because it should be an irrational number. This contradiction forces that rational + irrational = irrational.
You can reason the same way for multiplication. Suppose rational * irrational = rational, you find that your irrational can be expressed as the fration of two rationals, which is a contradiction.
24-8b
24-(8*b)
i don’t know the exact way it is written on your test but it is something along those lines
5m + 3n + p
-5p + 3n
2n - m
Arrange them in like terms
5m + 3n + p
+ 3n - 5p
add; <u>-m + 2n
</u> 4m + 8n - 4p Choice No. 4.<u>
</u>
Answer:
12 grams
Step-by-step explanation:
- <em>Absolute error is the difference between the measured value and the actual value.</em>
We can see on the plot that absolute error is spread between zero and 12 grams.
The largest absolute error is approximately 12 grams as per plot on the top right. It gives the bag weight of 512 grams vs advertised 500 grams.