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use long division to convert 2 and 3 over 8 to a decimal
To convert 2 and 3 over 8 to a decimal using long division, follow these steps:
1. Write 2 as a whole number: 2 = 2.0
2. Divide 2.0 by 8 (the denominator):
__________________
8 | 2.0
-16
40
-40
0
3. Place the decimal point in the quotient above the division sign, above the decimal point in 2.0:
0.25
Therefore, 2 and 3 over 8 in decimal form is 0.25.
sorry i misread its 3 and 3 over 8
No problem! Let's convert 3 and 3 over 8 to a decimal using long division:
1. Write 3 as a whole number: 3 = 3.0
2. Divide 3.0 by 8 (the denominator):
__________________
8 | 3.0
-24
60
-56
40
-40
0
3. Place the decimal point in the quotient above the division sign, above the decimal point in 3.0:
0.375
Therefore, 3 and 3 over 8 in decimal form is 0.375.
what is 4 over 15 to a decimal use long division
To convert 4 over 15 to a decimal using long division, follow these steps:
1. Write 4 as a whole number: 4 = 4.0
2. Divide 4.0 by 15 (the denominator):
__________________
15 | 4.0
-30
10
- 0
3. Place the decimal point in the quotient above the division sign, above the decimal point in 4.0:
0.2666...
You can see that the division never ends and repeats with the decimal "26" repeating. So, 4 over 15 in decimal form is approximately 0.2666... or you can round it to 0.27.
what is 7 over 11
To convert 7 over 11 to a decimal without using long division, you can simply divide the numerator by the denominator:
7 ÷ 11 = 0.636363...
The division continues indefinitely, with the decimal repeating the sequence "63". Therefore, 7 over 11 in decimal form is approximately 0.63, or we can round it to 0.64.
what is 5 and 3 over 16
To convert 5 and 3 over 16 to a decimal using long division, follow these steps:
1. Write 5 as a whole number: 5 = 5.0
2. Add the fraction part to the whole number: 5.0 + 3/16
3. Multiply the denominator (16) by the whole number (5) and add the numerator (3):
16 * 5 + 3 = 80 + 3 = 83
4. Place the result from step 3 as the numerator and keep the same denominator (16):
83/16
5. Divide 83 by 16:
__________________
16 | 83
- 80
30
- 16
140
- 128
12
6. Place the decimal point in the quotient above the division sign, above the decimal point in 5.0:
5.1875
Therefore, 5 and 3 over 16 in decimal form is 5.1875.
A mountain goat is climbing to the top of a large cliff. The cliff is 50 feet higher than its starting point. If it takes the goat 22 minutes to climb this cliff, interpret the quotient to describe the rate of change in the goat’s elevation. Give your answer to the nearest hundredth
The quotient in this scenario would be the rate of change in the goat's elevation, which can be calculated by dividing the height of the cliff (50 feet) by the time it took to climb it (22 minutes).
Rate of change in elevation = height / time
Rate of change in elevation = 50 feet / 22 minutes
Rate of change in elevation ≈ 2.27 feet per minute (rounded to the nearest hundredth)
Therefore, the rate of change in the goat's elevation is approximately 2.27 feet per minute.
A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird’s altitude. Give your answer to the nearest hundredth and remember that the bird is descending
In this scenario, the quotient would represent the rate of change in the bird's altitude as it descends from an average altitude of 10 meters to settling on a branch at a height of 3 meters over 3 seconds.
Rate of change in altitude = change in altitude / time
Change in altitude = initial altitude - final altitude = 10 meters - 3 meters = 7 meters
Rate of change in altitude = 7 meters / 3 seconds ≈ 2.33 meters per second (rounded to the nearest hundredth)
Therefore, the rate of change in the bird's altitude as it descends is approximately 2.33 meters per second.
A whale is swimming at a current depth of 15 meters below the surface. It swims up toward the surface and arrives there 9.5 seconds later. Find the quotient that best describes the rate of change in the whale’s depth. Give your answer to the nearest hundredth
To find the rate of change in the whale's depth, we need to calculate the change in depth divided by the time taken.
The change in depth is from 15 meters below the surface to arriving at the surface, so it would be: 0 meters - (-15 meters) = 15 meters.
The time taken is given as 9.5 seconds.
Rate of change in depth = change in depth / time taken
Rate of change in depth = 15 meters / 9.5 seconds
Calculating this, we get:
Rate of change in depth ≈ 1.58 meters per second (rounded to the nearest hundredth)
Therefore, the rate of change in the whale's depth as it swims towards the surface is approximately 1.58 meters per second.
Solve using division of rational numbers. If a car’s value decreases by $2,500 in the first 6 months, how much does the value decrease per month? (Round to the nearest hundredth
To find the value decrease per month, we divide the total decrease in value ($2,500) by the number of months (6).
Value decrease per month = Total decrease in value / Number of months
Value decrease per month = $2,500 / 6
Calculating this, we get:
Value decrease per month ≈ $416.67 (rounded to the nearest hundredth)
Therefore, the car's value decreases by approximately $416.67 per month.
A restaurant uses a 15-pound bag of flour in 4 days. Each day, the bag of flour gets lighter as more flour is used. How much does the average amount of flour in the bag change each day? (Round to the nearest hundredth.
To find the average change in the amount of flour in the bag each day, we divide the total change in the amount of flour (15 pounds) by the number of days (4).
Average change in amount of flour per day = Total change in amount of flour / Number of days
Average change in amount of flour per day = 15 pounds / 4
Calculating this, we get:
Average change in amount of flour per day ≈ 3.75 pounds (rounded to the nearest hundredth)
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day.
Solve using division of rational numbers. If a car’s value decreases by $4,000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth
To find the value decrease per month, we divide the total decrease in value ($4,000) by the number of months (12).
Value decrease per month = Total decrease in value / Number of months
Value decrease per month = $4,000 / 12
Calculating this, we get:
Value decrease per month ≈ $333.33 (rounded to the nearest hundredth)
Therefore, the car's value decreases by approximately $333.33 per month.
It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?
To find out how much the amount of water in the canteen should change every 10 minutes, we need to determine the water consumption rate per minute.
Water consumption rate per minute = Water consumption rate per hour / 60 minutes
Water consumption rate per minute = 24 ounces / 60 minutes
Calculating this, we get:
Water consumption rate per minute = 0.4 ounces
Therefore, the amount of water in the canteen should decrease by approximately 0.4 ounces every 10 minutes.