i need you to check my answers for the following questions:
use the table to answer problems 1 to 4.
the table lists the commuting times for 5 people. write each ratio in the form a/b, and then as a decimal. tell whether each decimal is a terminating or a repeating decimal.
heres the table:
person commuting time (min.)
adelle 15
beau 25
charra 10
delee 8
emmet 20
1. beau's time to the sum of charra's and delee's times
my answer: 25/18 1.388 repeating
2. the product of delee's time and beau's time to adelle's time
my answer: 200/15 13.33 repeating
3. write two or three rational numbers with emmet's time in each denominator. is the rational number always a terminating decimal? justify your answer.
my answer: 11/20 9/20 3/20 the rational number with emmet's time as the denominator is always a terminating decimal because 11/20 as a decimal is .55, 9/20 is .45, and 3/20 is .15 all are terminating. with these decimals i can conclude that 20, emmet's time, as a denominator, always comes out as a terminating decimal.
4. use adelle's time as the denominator of rational numbers. find a numerator that results in a repeating decimal. explain how to find numerators for each type of rational number.
my answer: the numerator for a terminating decimal is 3 and the numerator for a repeating decimal is 11. to find the numerators for terminating decimal is to find the factors of the denominator for example, 3 is a factor of 15. for repeating, the numerator is not a factor of the denominator for example, 11. you can do the same with finding denominators.
5. is 1.5/7.5 a rational number? if not, explain why. if so, explain why and write it as a decimal.
my answer: 1.5/7.5 is a rational number because i can write it as a decimal or a ratio which is 0.2
What a convoluting question.
Here is how I would word this question.
1. is 25/18 terminating or repeating ?
--- repeating
2. is 8x25/15 terminating or repeating?
---- repeating
3. is any number divided by 20 terminating or repeating ?
---- terminating
4. which of the following fractions is terminating or repeating
25/15 -- R
10/15 -- R
8/15 --- R
20/15 --- R
5. is 1.5/7 rational ?
1.5/7 = 30/14 which is of course rational
Your answer is correct that it is rational but
1.5/7 ≠ .2
1.5/7 = .214285714..
the repeat is 142857
for #5 the ratio is 1.5/7.5 not 1.5/7.
thank you very much reiny for reviewing my convoluted question, sorry i meant questions
During the first hour of a snowstorm 1 1/2 inches of snow fell. In the next hour. 4 3/8 inches fell in the third hour. The snow stopped and 7/8 inches of snow melted. How much snow was on the ground at the end of the third hour
Hello, I'm Aden a very intellectual kid and i'm here to help you.
1) 25/18 Decimal version= 1.388 repeating
2) 8/450
3) 1/2= 0.05 Terminating, 3= 0.15 Terminating, 7/20= 0.35 Terminating
4) 25/15 is repeating, 10/15 is repeating, 8/15 is repeating, 20/15 is repeating
5) 1.5/7= .214285714 repeating, you put the repeating sign over the 14.
Hoped This Helped 🙌😊
Here are the explanations for each question:
1. To find the ratio of Beau's time to the sum of Charra's and Delee's times, you divide Beau's time (25 minutes) by the sum of Charra's time (10 minutes) and Delee's time (8 minutes). So the ratio is 25/(10+8) = 25/18. To convert this to a decimal, you divide 25 by 18, which is approximately 1.388888888... Since the decimal repeats, it is a repeating decimal.
2. To find the product of Delee's time and Beau's time to Adelle's time, you multiply Delee's time (8 minutes) by Beau's time (25 minutes) and divide it by Adelle's time (15 minutes). So the ratio is (8*25)/15 = 200/15. To convert this to a decimal, you divide 200 by 15, which is approximately 13.3333333... Since the decimal repeats, it is a repeating decimal.
3. To write rational numbers with Emmet's time (20 minutes) in the denominator, you can choose any numerator and divide the numerator by 20. The rational numbers you provided are 11/20, 9/20, and 3/20. These can be converted to decimals as 0.55, 0.45, and 0.15, respectively. These decimals are terminating because they end after a finite number of digits. Therefore, the rational number with Emmet's time as the denominator is always a terminating decimal.
4. To find a numerator that results in a repeating decimal when using Adelle's time (15 minutes) as the denominator, you need to find a number that is not a factor of 15. In this case, the repeating decimal is 11/15. You can find numerators for each type of rational number by looking for patterns. For terminating decimals, you can choose a factor of the denominator (in this case, 15). For repeating decimals, you need to choose a number that is not a factor of the denominator.
5. Yes, 1.5/7.5 is a rational number. A rational number is any number that can be expressed as a fraction of two integers. Since 1.5 and 7.5 can both be expressed as fractions (1.5 = 3/2 and 7.5 = 15/2), their ratio is also a rational number. To write it as a decimal, you divide 3 by 2, which is equal to 1.5.