Use long division to convert 6715 to a decimal.(1 point) Responses 6.715 6.715 ≈0.46 approximately equals 0.46 ≈6.14285 approximately equals 6.14285 ≈6.47
To convert 6715 to a decimal using long division, we divide 6715 by 1000 (since there are three decimal places).
First, we divide 6715 by 1000:
_______
1000 | 6715
-6000
______
715
Next, we bring down the next digit (0) from the dividend and divide again:
_______
1000 | 6715
-6000
______
7150
-7000
______
150
We continue this process until we reach the desired level of accuracy or until we notice a pattern:
_______
1000 | 6715
-6000
______
7150
-7000
______
1500
-1000
_______
5000
- 4000
________
1000
-1000
________
0
Since we have a remainder of 0, the result is exact. Therefore, 6715 as a decimal is 6.715.
To convert 6715 to a decimal using long division, you can follow these steps:
1. Start by writing down the number you want to convert, which is 6715, as the dividend.
2. Choose a divisor. Let's use 1000 as the divisor in this case since we want to convert to three decimal places.
3. Divide 6715 by 1000. The quotient will be the whole number part of the decimal, and the remainder will be used for the decimal part.
4. The quotient is 6. We can write this as 6.000.
5. Now, multiply the remainder of the division (715) by 10. This will allow us to bring down the next digit to continue the division.
6. Divide the new number (7150) by 1000. The quotient, in this case, will be the decimal part.
7. The quotient is 7. We can write this as 0.007.
8. Combine the whole number part and the decimal part.
6 + 0.007 = 6.007.
Therefore, 6715 is equal to 6.007 in decimal form.
To convert 6715 to a decimal using long division, follow these steps:
1. Start by placing the dividend (6715) inside the division symbol ÷.
2. Choose a divisor. Since we are converting a whole number to a decimal, we need to divide by a power of 10. In this case, our divisor will be 10.
3. Divide the first digit of the dividend (6) by the divisor (10). In this case, 6 divided by 10 equals 0 remainder 6.
4. Bring down the next digit (7) to the right of the remainder. This gives us 67.
5. Divide 67 by 10, the result is 6 remainder 7. Repeat the process by bringing down the next digit (1) to the right of the remainder. This gives us 71.
6. Divide 71 by 10, the result is 7 remainder 1. Repeat the process by bringing down the next digit (5) to the right of the remainder. This gives us 15.
7. Divide 15 by 10, the result is 1 remainder 5.
8. Since the remainder (5) is not zero and we have reached the decimal point, continue by adding a decimal point to the quotient.
9. Divide the remainder (5) by 10, which gives us 0.5. This completes the division.
So, when you convert 6715 to a decimal using long division, the answer is approximately 6.715.