Use long division to convert 6 to a decimal. 15
A 6.14285
B 6.47
C 6.715
D ≈ 0.46
To convert 6 to a decimal using long division, divide 6 by 15:
0.4
------------------
15 | 6.0
6. (subtract: 6 - 6 = 0)
The decimal representation of 6 ÷ 15 is 0.4. Therefore, the correct answer is D) ≈ 0.46.
Use long division to convert 6 7/15 to a decimal.
A 6.14285
B 6.47
C 6.715
D ≈ 0.46
To convert 6 7/15 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
6 7/15 = (6 * 15 + 7)/15 = 97/15
Step 2: Divide 97 by 15 using long division:
6.4
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15 | 97
90 (subtract: 97 - 90 = 7)
75 (subtract: 90 - 75 = 15)
0
Step 3: Place the decimal point and write the remainder as a decimal. The quotient (the number outside the division bar) is the whole number part of the mixed number.
Therefore, the decimal representation of 6 7/15 is approximately 6.4. Thus, the correct answer is B) 6.47
A pilot is flying an airplane. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane’s altitude. Give your answer to the nearest hundredth, and remember the plane is descending.(1 point) The quotient that best represents the rate of change in the plane’s altitude ANSWER is feet/minute.
To find the rate of change in the plane's altitude, we need to divide the change in altitude (4,000 feet) by the time it took to make that adjustment (3.5 minutes).
Rate of change = Change in altitude / Time
Rate of change = 4,000 feet / 3.5 minutes
To find this quotient to the nearest hundredth, we divide 4,000 by 3.5:
Rate of change = 1142.86 feet/minute (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the plane’s altitude is approximately 1142.86 feet/minute.
To convert 6 to a decimal using long division by 15, follow these steps:
1. Start by writing down 6 as the dividend.
2. Write down 15 as the divisor.
3. Now, divide the first digit of the dividend (6) by the divisor (15). The result is 0.
4. Multiply this result (0) by the divisor (15) and subtract it from the first digit of the dividend. The difference is 6.
5. Bring down the next digit of the dividend (0) and write it next to the difference (6). The new dividend is now 60.
6. Divide the new dividend (60) by the divisor (15). The result is 4.
7. Multiply this result (4) by the divisor (15) and subtract it from the new dividend. The difference is 0.
8. Since the new dividend is now 0, we have completed the division.
9. The answer is the combination of the quotient (4) and the remainder (0), which gives us 4. Therefore, the decimal form of 6 divided by 15 is 4.
Therefore, the correct answer is D) ≈ 0.46.
To convert 6 to a decimal using long division, you would divide 6 by 15. Here's how you can do it step-by-step:
Step 1: Write down the division problem:
Dividend: 6
Divisor: 15
Step 2: Set up the division:
Start by dividing the first digit (6) of the dividend by the divisor (15). Place the quotient on top of the division bar and write the remainder next to the next digit of the dividend.
_____
15 | 6
Step 3: Divide:
The divisor (15) cannot fit into 6, so we add a decimal point after the 6 and bring down a zero.
_____
15 | 6.0
Step 4: Continue dividing:
Now divide 60 by 15. The quotient is 4, and the remainder is 0.
_____
15 | 6.0
- 60
-----
0
Step 5: Write the final decimal:
The division process ends because there is no remainder and we have no more digits to bring down. The quotient is 4.
Therefore, 6 divided by 15 is equal to 0.4.
Comparing the potential answer choices, option D, which is approximately 0.46, is the closest to the correct answer.