71.82/7 in long division
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
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.
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.
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.