Evaluate 28.4*9.78

28.4⋅9.78
Multiply using long multiplication.
Multiply 8 by 4. Place the ones digit (2) in the result line and carry the tens digit (3). There is one result line for each digit in 9.78.
 3 2 8 .4 ⨯ 9 .7 8 2
Multiply 8 by 8 and add the carried 3. Place the ones digit (7) in the result line and carry the tens digit (6). There is one result line for each digit in the 9.78.
 6 3 2 8 .4 ⨯ 9 0.7 8 7 2
Multiply 8 by 2 and add the carried 6. Place the ones digit (2) in the result line and carry the tens digit (2). There is one result line for each digit in the 9.78.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2
Multiply 7 by 4. Place the ones digit (8) in the result line and carry the tens digit (2). There is one result line for each digit in 9.78.
 2 2 8 .4 ⨯ 9 0.7 8 2 2 7 2 8
Multiply 7 by 8 and add the carried 2. Place the ones digit (8) in the result line and carry the tens digit (5). There is one result line for each digit in the 9.78.
 5 2 2 8 .4 ⨯ 9 0.7 8 2 2 7 2 8 8
Multiply 7 by 2 and add the carried 5. Place the ones digit (9) in the result line and carry the tens digit (1). There is one result line for each digit in the 9.78.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8
Multiply 9 by 4. Place the ones digit (6) in the result line and carry the tens digit (3). There is one result line for each digit in 9.78.
 3 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 6
Multiply 9 by 8 and add the carried 3. Place the ones digit (5) in the result line and carry the tens digit (7). There is one result line for each digit in the 9.78.
 7 3 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 5 6
Multiply 9 by 2 and add the carried 7. Place the ones digit (5) in the result line and carry the tens digit (2). There is one result line for each digit in the 9.78.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6
Add the numbers in each column. In this case, add 2+0+0, then place the 2 in the result line.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 2
Add the numbers in each column. In this case, add 7+8+0, then place the 5 in the result line and carry the 1.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 5 2
Add the numbers in each column. In this case, add 2+8+6+1, then place the 7 in the result line and carry the 1.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 7 5 2
Add the numbers in each column. In this case, add 2+9+5+1, then place the 7 in the result line and carry the 1.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 7 7 5 2
Add the numbers in each column. In this case, add 0+1+5+1, then place the 7 in the result line.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 7 7 7 5 2
Add the numbers in each column. In this case, add 0+0+2, then place the 2 in the result line.
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 2 7 7 7 5 2
 2 8 .4 ⨯ 9 .7 8 2 2 7 2 1 9 8 8 2 5 5 6 2 7 7 7 5 2
To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of 3, so the answer must have 3 decimal places as well.
277.752
Evaluate 28.4*9.78

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