Use long division to convert 345 to a decimal
To convert 345 to a decimal using long division, follow these steps:
1) Write 345 as the dividend and 1 as the divisor.
_________
1 | 345
2) Start the long division process by dividing the first digit of the dividend (3) by the divisor (1). Write the quotient (3) on top of the line above the dividend.
3
_________
1 | 345
3) Multiply the quotient (3) by the divisor (1) and write the result (3) below the dividend.
3
_________
1 | 345
3
4) Subtract the result (3) from the first digit of the dividend (3) to get the remainder (0). Write the remainder (0) next to the result.
3
_________
1 | 345
3
-----
5) Bring down the next digit of the dividend (4) and write it next to the remainder (0).
3
_________
1 | 345
30
-----
6) Divide the new number (30) by the divisor (1) and write the quotient (30) below the line.
3
_________
1 | 345
30
-----
30
7) Multiply the new quotient (30) by the divisor (1) and write the result (30) below the number you just brought down.
3
_________
1 | 345
30
-----
30
8) Subtract the result (30) from the number you just brought down (30) to get the remainder (0). Write the remainder (0) next to the result.
3
_________
1 | 345
30
-----
30
----
9) Bring down the next digit of the dividend (5) and write it next to the remainder (0).
3
_________
1 | 345
30
-----
30
----
5
10) Divide the new number (5) by the divisor (1) and write the quotient (5) below the line.
3
_________
1 | 345
30
-----
30
----
5
11) Multiply the new quotient (5) by the divisor (1) and write the result (5) below the number you just brought down.
3
_________
1 | 345
30
-----
30
----
5
5
12) Subtract the result (5) from the number you just brought down (5) to get the remainder (0). Write the remainder (0) next to the result.
3
_________
1 | 345
30
-----
30
----
5
5
----
13) Since the remainder is 0 and there are no more digits to bring down, the process is complete.
The decimal representation of 345 is 345.0.
Use long division to convert 3 45 to a decimal
To convert 3 45 to a decimal using long division, follow these steps:
1) Write 345 as the dividend and 100 as the divisor, since we want to convert the whole number part (3) to decimal by dividing it by 100.
_________
100 | 345
2) Start the long division process by dividing the first digit of the dividend (3) by the divisor (100). Write the quotient (0) on top of the line above the dividend.
0
_________
100 | 345
3) Multiply the quotient (0) by the divisor (100) and write the result (0) below the dividend.
0
_________
100 | 345
0
4) Subtract the result (0) from the first digit of the dividend (3) to get the remainder (3). Write the remainder (3) next to the result.
0
_________
100 | 345
0
-----
5) Bring down the next digit of the dividend (4) and write it next to the remainder (3).
0
_________
100 | 345
03
6) Divide the new number (34) by the divisor (100) and write the quotient (0) below the line.
0
_________
100 | 345
03
-----
7) Multiply the new quotient (0) by the divisor (100) and write the result (0) below the number you just brought down.
0
_________
100 | 345
03
-----
0
8) Subtract the result (0) from the number you just brought down (0) to get the remainder (0). Write the remainder (0) next to the result.
0
_________
100 | 345
03
-----
0
---
9) Since the remainder is 0 and there are no more digits to bring down, the process is complete.
The decimal representation of 3 45 is 3.45.
To convert the whole number 345 to a decimal using long division, you can follow these steps:
1. Write 345 as the dividend and 1 as the divisor:
____
1 | 345
2. Divide the first digit of the dividend (3) by the divisor (1) and place the quotient (3) above the long division bar:
3
____
1 | 345
3. Multiply the divisor (1) by the quotient (3) and place the product (3) under the first digit of the dividend:
3
____
1 | 345
-3
4. Subtract the product (3) from the first digit of the dividend (3) and bring down the next digit (4):
3
____
1 | 345
-3
____
45
5. Repeat steps 2-4 by dividing the new dividend (45) by the divisor (1):
3
____
1 | 345
-3
____
45
6. Divide 45 by 1 and place the quotient (45) above the long division bar:
3
____
1 | 345
-3
____
45
____
45
7. Multiply the divisor (1) by the quotient (45) and place the product (45) under the dividend:
3
____
1 | 345
-3
____
45
____
45
-45
8. Subtract the product (45) from the dividend (45) and bring down the next digit (0):
3
____
1 | 345
-3
____
45
____
45
-45
____
0
9. Since there are no more digits to bring down and the remainder is 0, the long division process is complete.
The decimal representation of 345 is 345.000. However, since there is no fractional part, this can also be written as just 345.
To convert 345 to a decimal using long division, follow these steps:
1. Set up the long division problem with the dividend (345) inside the division symbol ("/") and the divisor (1) outside the division symbol, like this: 345 / 1.
2. Divide the first digit of the dividend (3) by the divisor (1). The quotient (result) is 3. Write this quotient above the division line.
3
_______
1 | 345
3. Multiply the quotient (3) by the divisor (1) and subtract the result from the first digit of the dividend (3 - 3 = 0). Write the result (0) below the line. Bring down the next digit of the dividend (4) next to the result.
3
_______
1 | 345
- 3
45
4. Divide the new number (45) by the divisor (1). The quotient is 45. Write this quotient above the division line.
3
_______
1 | 345
- 3
45
_______
1 | 45
5. Multiply the quotient (45) by the divisor (1) and subtract the result from the new number (45 - 45 = 0). Write the result (0) below the line.
3
_______
1 | 345
- 3
45
- 45
_______
1 | 0
6. Since the new number is now 0, the division is completed. The quotient, when written as a decimal, is 345.0.
Therefore, 345 can be written as 345.0 in decimal form.