Create a division problem where the divisor is a whole number and the dividend is a decimal. The quotient must be greater than 5 but less than 6.
Dividend: 31.8
Divisor: 5
Quotient: 6.36
okay, but how would i do that in standard algorithm?
To perform division using the standard algorithm, follow these steps using the given example:
1. Place the dividend (31.8) inside the division bracket and the divisor (5) outside the bracket.
______
5 │ 31.8
2. Determine how many times the divisor can go into the first digit of the dividend without exceeding it. In this case, 5 can go into 3 zero times, so write 0 on top of the division bracket above the line.
______
5 │ 31.8
- 0
3. Bring down the next digit of the dividend, which is 1, and append it to the right of the previous result of 0. This gives us 01.
______
5 │ 31.8
- 01
4. Determine how many times the divisor can go into 01 without exceeding it. Since 5 can go into 1 zero times, write 0 above the line next to the previous 0.
______
5 │ 31.8
- 01
- 0
5. Bring down the next digit of the dividend, which is 8, and append it to the right of the previous result of 00. This gives us 008.
______
5 │ 31.8
- 01
- 00
______
008
6. Determine how many times the divisor can go into 008 without exceeding it. Since 5 can go into 8 once, write 1 above the line next to the previous 0.
______
5 │ 31.8
- 01
- 00
______
008
- 5
7. Multiply the divisor (5) by the quotient (1). 5 * 1 = 5. Write the result (5) below the line and subtract it from 008.
______
5 │ 31.8
- 01
- 00
______
008
- 5
______
003
8. Bring down the next digit of the dividend, which is 0, and append it to the right of the previous result of 5. This gives us 50.
______
5 │ 31.8
- 01
- 00
______
008
- 5
______
003
05
9. Determine how many times the divisor can go into 50 without exceeding it. In this case, 5 can go into 50 ten times, so write 10 above the line next to the previous 1.
______
5 │ 31.8
- 01
- 00
______
008
- 5
______
003
10
______
002
10. Multiply the divisor (5) by the quotient (10). 5 * 10 = 50. Write the result (50) below the line and subtract it from 050.
______
5 │ 31.8
- 01
- 00
______
008
- 5
______
003
10
______
002
- 2
______
00
11. Since there are no more digits in the dividend, the division process is completed.
The quotient is 6 (the digit written above the line).
Therefore, the division problem where the divisor is a whole number and the dividend is a decimal, and the quotient is greater than 5 but less than 6, is:
Dividend: 31.8
Divisor: 5
Quotient: 6
you didn't give me the same answer as before-
Apologies for the confusion. Let's try again with a different division problem.
Dividend: 31.5
Divisor: 5
Quotient: 6.3
Using the standard algorithm, the steps are as follows:
1. Place the dividend (31.5) inside the division bracket and the divisor (5) outside the bracket.
______
5 │ 31.5
2. Determine how many times the divisor can go into the first digit of the dividend without exceeding it. In this case, 5 can go into 3 zero times, so write 0 on top of the division bracket above the line.
______
5 │ 31.5
- 0
3. Bring down the next digit of the dividend, which is 1, and append it to the right of the previous result of 0. This gives us 01.
______
5 │ 31.5
- 01
4. Determine how many times the divisor can go into 01 without exceeding it. In this case, 5 can go into 1 zero times, so write 0 above the line next to the previous 0.
______
5 │ 31.5
- 01
- 0
5. Bring down the next digit of the dividend, which is 5, and append it to the right of the previous result of 00. This gives us 005.
______
5 │ 31.5
- 01
- 00
______
005
6. Determine how many times the divisor can go into 005 without exceeding it. In this case, 5 can go into 5 one time, so write 1 above the line next to the previous 0.
______
5 │ 31.5
- 01
- 00
______
005
- 5
7. Multiply the divisor (5) by the quotient (1). 5 * 1 = 5. Write the result (5) below the line and subtract it from 005.
______
5 │ 31.5
- 01
- 00
______
005
- 5
______
00
8. Since there are no more digits in the dividend, the division process is completed.
The quotient is 6.3 (the digit written above the line).
Therefore, the division problem where the divisor is a whole number and the dividend is a decimal, and the quotient is greater than 5 but less than 6, is:
Dividend: 31.5
Divisor: 5
Quotient: 6.3