Use long division to convert 345 to a decimal.(1 point)
To convert 345 to a decimal using long division, we divide 345 by 1.
_____
1 | 345
The first step is to divide 3 by 1, which gives us 3. We then multiply 3 by 1 to get 3, and subtract it from 3, which gives us 0.
_____
1 | 345
- 3
-----
45
The next step is to bring down the next digit, which is 4. We then divide 4 by 1, which gives us 4. We multiply 4 by 1 to get 4, and subtract it from 4, which gives us 0.
_____
1 | 345
- 3
-----
45
- 4
-----
5
The last step is to bring down the final digit, which is 5. We divide 5 by 1, which gives us 5. We multiply 5 by 1 to get 5, and subtract it from 5, which gives us 0.
_____
1 | 345
- 3
-----
45
- 4
-----
5
- 5
-----
0
Since the remainder is 0, we can conclude that 345 is an exact decimal representation, and it can be written as 345.
sorry to tell you but thats wrong
Apologies for the mistake. Let me correct the calculation.
To convert 345 to a decimal using long division, we start by dividing 345 by 10 as there is no remainder.
34.5
_______
10 | 345
The first step is to divide 34 by 10, which gives us 3. We then multiply 3 by 10 to get 30, and subtract it from 34, which gives us 4.
34.5
_______
10 | 345
- 30
_______
15
The next step is to bring down the next digit, which is 5. We then divide 15 by 10, which gives us 1.5. We do not get a remainder.
34.5
_______
10 | 345
- 30
_______
15
- 10
_______
5
Finally, we bring down the decimal point and write 5.
34.5
Thus, 345 converts to the decimal 34.5.
To convert the whole number 345 to a decimal using long division, follow these steps:
1. Write the whole number 345 as the dividend inside the long division symbol (÷).
______
345 |
2. Start by dividing the first digit of the dividend (3) by the divisor (1). Write the result (3) above the line as the first digit of the quotient:
______
345 | 3
3. Multiply the first digit of the quotient (3) by the divisor (1) and subtract the result from the dividend:
1 × 3 = 3
345 - 3 = 342
4. Bring down the next digit from the dividend (4) and place it beside the remainder:
342
______
345 | 3
3
5. Divide the new number (34) by the divisor:
34 ÷ 1 = 34
6. Write the result (34) above the line as the next digit of the quotient:
342
______
345 | 34
3
7. Multiply the new digit (34) by the divisor (1) and subtract the result from the previous remainder:
1 × 34 = 34
342 - 34 = 308
8. Repeat steps 4-7 until there are no more digits in the dividend.
342
______
345 | 34
3
______
28
_______
9. Since there are no more digits in the dividend, the division process stops. The quotient is the result of the division, which is 34.
Therefore, converting 345 to a decimal using long division yields 34.
To convert the whole number 345 to a decimal using long division, follow these steps:
1. Represent the number 345 as a fraction: 345/1.
2. Write the whole number (345) as the dividend inside the long division symbol, and the divisor (1) on the left side.
_____________
1 | 345
3. Begin dividing: How many times does 1 go into 3? The answer is 3.
4. Multiply the quotient (3) by the divisor (1), and subtract it from the dividend (345).
_____________
1 | 345
- 3
5. Bring down the next digit, which is 4, to the right of the remainder, making it 45.
_____________
1 | 345
- 3
45
6. Divide again: How many times does 1 go into 45? The answer is 45.
7. Multiply the quotient (45) by the divisor (1), subtract it from the dividend (345), and bring down the next digit.
_____________
1 | 345
- 3
45
- 45
8. Divide once more: How many times does 1 go into 45? The answer is 45.
9. Multiply the quotient (45) by the divisor (1) and subtract it from the dividend (345).
_____________
1 | 345
- 3
45
- 45
0
10. The remainder is 0, which means the division is complete.
11. The decimal form of 345 is simply the quotient: 345/1 = 345.
Therefore, the whole number 345 is equivalent to the decimal number 345.