unit 2 lesson9
U2L9: SAMPLE WORK
1. Football team needs to gain 4 yards to score. What rational number represents this?
2. Place in order as you’d see on a number line: 5.6, -2.99, -13.1, 6 ½, 0.199
3. Find the SUM of -12.34 and -8.5
4. It Was 10deg yesterday but the temperature changed -14 deg over night. What is temperature now?
5. 11 2/9 - 10 - 1/9 - 8 answer in simplest form
1. The rational number that represents gaining 4 yards to score in football is 4/1 or simply 4.
2. The numbers in order, as you would see on a number line, are -13.1, -2.99, 0.199, 5.6, 6 1/2.
3. The sum of -12.34 and -8.5 is -20.84.
4. The temperature now is -4 degrees. (10 - 14 = -4)
5. The answer to 11 2/9 - 10 - 1/9 - 8 in simplest form is 0.
1. To represent the football team needing to gain 4 yards, we can use the rational number 4/1. This is because the distance of 4 yards can be expressed as a fraction where the numerator represents the desired gain (4) and the denominator represents the unit of measurement (1 yard).
2. To place the given numbers in order on a number line, we start from the smallest value to the largest value. The order would be:
-13.1, -2.99, 0.199, 5.6, 6 ½
3. To find the sum of -12.34 and -8.5, we add the two numbers together. This can be done by aligning the decimal points and adding the corresponding place values:
-12.34
+ -8.5
-----------
-20.84
Therefore, the sum is -20.84.
4. If the temperature was 10 degrees yesterday and it changed by -14 degrees overnight, we can find the current temperature by subtracting 14 from 10.
10 - 14 = -4
The current temperature is -4 degrees.
5. To simplify the expression 11 2/9 - 10 - 1/9 - 8, we need to convert all the numbers to a common denominator before performing the subtraction.
First, let's convert 11 2/9 and 8 to fractions:
11 2/9 = (11 * 9 + 2)/9 = 101/9
8 = 8/1
Now, let's convert 10 and 1/9 to a fraction and subtract:
10 - 1/9 = (10 * 9/9) - 1/9 = 90/9 - 1/9 = 89/9
Finally, let's subtract the remaining fractions:
101/9 - 89/9 = (101 - 89)/9 = 12/9
The simplified answer is 12/9, which can be further reduced to 4/3.