If we perform long division with 71.82 divided by 7, we get:
_________
7 | 71.82
- 70
------
1.82
So, 71.82 divided by 7 is equal to 10.26
71.82/7 in long division
11 answers
as a sixth grader?
As a sixth grader, you may not have learned long division with decimal numbers like 71.82 divided by 7. In that case, you can convert the decimal into a fraction and then perform the division.
To convert the decimal 71.82 into a fraction, we can write it as 71 and 82 hundredths.
71.82 = 71 + 82/100
Simplifying the fraction, we have:
71.82 = 71 + (41/50)
Now, we can divide 71 by 7 and add it to the division of 41/50 by 7.
71 ÷ 7 = 10
41/50 ÷ 7 = (41 ÷ 50) ÷ 7 = (41 ÷ 50) x (1/7) = (41 x 1) ÷ (50 x 7) = 41 ÷ 350 = 41/350
Adding the results:
10 + 41/350
To simplify this further, we need to find a common denominator. The Least Common Multiple (LCM) of 350 and 50 is 350. So let's write 10 as 350/350:
350/350 + 41/350 = (350 + 41) / 350 = 391/350
So, 71.82 divided by 7, as a fraction, is equal to 391/350.
To convert the decimal 71.82 into a fraction, we can write it as 71 and 82 hundredths.
71.82 = 71 + 82/100
Simplifying the fraction, we have:
71.82 = 71 + (41/50)
Now, we can divide 71 by 7 and add it to the division of 41/50 by 7.
71 ÷ 7 = 10
41/50 ÷ 7 = (41 ÷ 50) ÷ 7 = (41 ÷ 50) x (1/7) = (41 x 1) ÷ (50 x 7) = 41 ÷ 350 = 41/350
Adding the results:
10 + 41/350
To simplify this further, we need to find a common denominator. The Least Common Multiple (LCM) of 350 and 50 is 350. So let's write 10 as 350/350:
350/350 + 41/350 = (350 + 41) / 350 = 391/350
So, 71.82 divided by 7, as a fraction, is equal to 391/350.
as a decimal for 6th grader
Apologies for any confusion. As a decimal, 71.82 divided by 7 is approximately 10.26.
step by step
Apologies for the confusion earlier. Here is the step-by-step process to divide 71.82 by 7 as a decimal for a 6th grader:
1. Write the division problem as a long division equation:
_________
7 | 71.82
2. Start by dividing the first digit of the dividend (7) by the divisor (7). In this case, 7 ÷ 7 = 1.
1
_________
7 | 71.82
3. Multiply the quotient (1) by the divisor (7): 1 x 7 = 7.
1
- 7
_________
7 | 71.82
4. Subtract the product (7) from the dividend (71.82). 71.82 - 7 = 64.82.
1
- 7
_________
7 | 71.82
- 64.82
5. Bring down the next digit from the dividend to continue the division. In this case, bring down the digit 8.
1
- 7
_________
7 | 71.82
- 64.82
8
6. Divide the new partial dividend (84.82) by the divisor (7). 84.82 ÷ 7 = 12.11.
1
- 7
_________
7 | 71.82
- 64.82
8
- 7 (digits added for clarity)
_________
1211
7. Continue the process if necessary by bringing down any remaining digits in the dividend and continuing to divide.
In this case, 1211 divided by 7 would be 173.
Therefore, 71.82 divided by 7 as a decimal is approximately 10.26.
1. Write the division problem as a long division equation:
_________
7 | 71.82
2. Start by dividing the first digit of the dividend (7) by the divisor (7). In this case, 7 ÷ 7 = 1.
1
_________
7 | 71.82
3. Multiply the quotient (1) by the divisor (7): 1 x 7 = 7.
1
- 7
_________
7 | 71.82
4. Subtract the product (7) from the dividend (71.82). 71.82 - 7 = 64.82.
1
- 7
_________
7 | 71.82
- 64.82
5. Bring down the next digit from the dividend to continue the division. In this case, bring down the digit 8.
1
- 7
_________
7 | 71.82
- 64.82
8
6. Divide the new partial dividend (84.82) by the divisor (7). 84.82 ÷ 7 = 12.11.
1
- 7
_________
7 | 71.82
- 64.82
8
- 7 (digits added for clarity)
_________
1211
7. Continue the process if necessary by bringing down any remaining digits in the dividend and continuing to divide.
In this case, 1211 divided by 7 would be 173.
Therefore, 71.82 divided by 7 as a decimal is approximately 10.26.
long division as 6th grader
Certainly! As a 6th grader, here's how you can perform long division with 71.82 divided by 7:
First, you will write the division problem in long division format, like this:
______
7 | 71.82
Next, you will begin dividing. Here are the steps:
1. Look at the first digit of the dividend, which is 7. Ask yourself, "How many times does 7 go into 7?" The answer is 1. Write this above the line as the quotient.
1
______
7 | 71.82
2. Multiply the quotient (1) by the divisor (7), and write the product below the line.
1
x 7
______
7
3. Subtract the product (7) from the first portion of the dividend (71), and write the result below the line.
1
x 7
______
71
- 7
______
4. Now, bring down the next digit from the dividend, which in this case is 8.
1
x 7
______
71
- 7
______
81
5. Then, ask yourself, "How many times does 7 go into 81?" The answer is 11. Write this above the line next to the 1.
11
x 7
______
71
- 7
______
81
- 77
______
6. Multiply the new quotient (11) by the divisor (7), and write the product below the line.
11
x 7
______
71
- 7
______
81
- 77
______
7. Subtract the new product (77) from the portion of the dividend (81) for which you performed the division.
11
x 7
______
71
- 7
______
81
- 77
______
4
8. Since we have no more digits left in the dividend, we can stop here. The remainder is 4.
Therefore, when you divide 71.82 by 7 using long division, the quotient is 11 with a remainder of 4.
First, you will write the division problem in long division format, like this:
______
7 | 71.82
Next, you will begin dividing. Here are the steps:
1. Look at the first digit of the dividend, which is 7. Ask yourself, "How many times does 7 go into 7?" The answer is 1. Write this above the line as the quotient.
1
______
7 | 71.82
2. Multiply the quotient (1) by the divisor (7), and write the product below the line.
1
x 7
______
7
3. Subtract the product (7) from the first portion of the dividend (71), and write the result below the line.
1
x 7
______
71
- 7
______
4. Now, bring down the next digit from the dividend, which in this case is 8.
1
x 7
______
71
- 7
______
81
5. Then, ask yourself, "How many times does 7 go into 81?" The answer is 11. Write this above the line next to the 1.
11
x 7
______
71
- 7
______
81
- 77
______
6. Multiply the new quotient (11) by the divisor (7), and write the product below the line.
11
x 7
______
71
- 7
______
81
- 77
______
7. Subtract the new product (77) from the portion of the dividend (81) for which you performed the division.
11
x 7
______
71
- 7
______
81
- 77
______
4
8. Since we have no more digits left in the dividend, we can stop here. The remainder is 4.
Therefore, when you divide 71.82 by 7 using long division, the quotient is 11 with a remainder of 4.
6th grade long division with decimals
Sure! Here's how you can perform long division with decimals in 6th grade, using the example of dividing 71.82 by 7:
1. Begin by setting up the long division format with the dividend (71.82) inside the division symbol and the divisor (7) outside:
71.82 │ 7
2. Start with the leftmost digit of the dividend (7) and ask yourself, "How many times does 7 go into 7?" The answer is 1. Write this above the division symbol:
1
‾‾‾‾‾‾
7 │ 71.82
3. Multiply the quotient (1) by the divisor (7) and write the product (7) below the dividend, lining up the decimal point:
1
‾‾‾‾‾‾
7 │ 71.82
- 7
4. Subtract the product from the portion of the dividend above it and write the result below the line:
1
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
5. Bring down the next digit from the dividend (8) and bring it down after the result:
1
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
6. Repeat the process: ask yourself, "How many times does 7 go into 148?" The answer is 2. Write this above the line next to the 1:
11
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
‾‾‾‾‾‾
48
7. Multiply the new quotient (2) by the divisor (7) and write the product (14) below the line:
11
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
‾‾‾‾‾‾
48
- 42
8. Subtract the product (42) from the portion of the dividend above it and write the result below the line:
11
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
‾‾‾‾‾‾
48
- 42
‾‾‾‾‾‾‾
68
9. Since there are no more digits left in the dividend, we have obtained the entire quotient. The final result is 11.68.
Therefore, when you divide 71.82 by 7 using long division with decimals, the quotient is 11.68.
1. Begin by setting up the long division format with the dividend (71.82) inside the division symbol and the divisor (7) outside:
71.82 │ 7
2. Start with the leftmost digit of the dividend (7) and ask yourself, "How many times does 7 go into 7?" The answer is 1. Write this above the division symbol:
1
‾‾‾‾‾‾
7 │ 71.82
3. Multiply the quotient (1) by the divisor (7) and write the product (7) below the dividend, lining up the decimal point:
1
‾‾‾‾‾‾
7 │ 71.82
- 7
4. Subtract the product from the portion of the dividend above it and write the result below the line:
1
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
5. Bring down the next digit from the dividend (8) and bring it down after the result:
1
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
6. Repeat the process: ask yourself, "How many times does 7 go into 148?" The answer is 2. Write this above the line next to the 1:
11
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
‾‾‾‾‾‾
48
7. Multiply the new quotient (2) by the divisor (7) and write the product (14) below the line:
11
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
‾‾‾‾‾‾
48
- 42
8. Subtract the product (42) from the portion of the dividend above it and write the result below the line:
11
‾‾‾‾‾‾
7 │ 71.82
- 7
‾‾‾‾‾‾‾
18.82
-14
‾‾‾‾‾‾
48
- 42
‾‾‾‾‾‾‾
68
9. Since there are no more digits left in the dividend, we have obtained the entire quotient. The final result is 11.68.
Therefore, when you divide 71.82 by 7 using long division with decimals, the quotient is 11.68.
0 answers