To answer the first question, the rational number that represents a football team needing to gain 4 yards to score would be 4.
To place the given numbers in order on a number line:
-13.1, -2.99, 0.199, 5.6, 6 ½
To find the sum of -12.34 and -8.5, you simply add the two numbers together:
-12.34 + (-8.5) = -20.84
If the temperature was 10 degrees yesterday and it changed by -14 degrees overnight, you would subtract 14 degrees from 10:
10 - 14 = -4 degrees
To simplify the given expression:
11 2/9 - 10 - 1/9 - 8
First, convert the mixed numbers to improper fractions:
11 2/9 = 11 + 2/9 = 99/9 + 2/9 = 101/9
6 ½ = 6 + 1/2 = 6/1 + 1/2 = 13/2
Now, rewrite the expression:
101/9 - 10 - 1/9 - 8
To add or subtract fractions, they need to have the same denominator. In this case, the denominator is 9. So, rewrite the expression with a common denominator:
101/9 - 90/9 - 1/9 - 8
Combine the numerators while keeping the denominator the same:
(101 - 90 - 1)/9 - 8/1
Simplify the numerator:
10/9 - 8/1
To subtract fractions, they also need to have the same denominator. The revised expression becomes:
(10 - 72)/9
Simplify the numerator:
(-62)/9
The final answer, in simplest form, is -62/9.