What is longmult 28.4*9.78 ?

The solution to longmult 28.4*9.78 is 277.752

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Popular >

longmult 28.4*9.78

Solution

long multiplication

28.4 \cdot 9.78

Solution

277.752

Solution steps

28.4 \cdot 9.78

Multiply without the decimal points, then put the decimal point in the answer

284 \cdot 978 = 277752

284 \cdot 978

Line up the numbers

\times 298748

Multiply the top number by the bottom number one digit at a time starting with the ones digit (from right to left)

Multiply the top number by the bolded digit of the bottom number

\times 298748

Mutliply the bold numbers:

4 \cdot 8 = 32

Carry

3

to the column on the left and write

2

in the result line

\frac{\times 2 9 3 8 7 4 8}{2}

Add the carried number to the multiplication:

3 + 8 \cdot 8 = 67

Carry

6

to the column on the left and write

7

in the result line

\frac{\times 6 2 9 3 8 7 4 8}{7 2}

Add the carried number to the multiplication:

6 + 2 \cdot 8 = 22

Carry

2

to the column on the left and write

2

in the result line

\frac{\times 2 6 2 9 3 8 7 4 8}{2 7 2}

Add the carried digit,

2

, to the result

\frac{\times 2 6 2 9 3 8 7 4 8}{2 2 7 2}

Multiply the top number by the bolded digit of the bottom number

\frac{\times 2 9 8 7 4 8}{2 2 7 2}

Mutliply the bold numbers:

4 \cdot 7 = 28

Carry

2

to the column on the left and write

8

in the result line

\frac{\times 2 9 2 8 7 4 8}{2 2 7 8 2}

Add the carried number to the multiplication:

2 + 8 \cdot 7 = 58

Carry

5

to the column on the left and write

8

in the result line

\frac{\times 5 2 9 2 8 7 4 8}{2 2 8 7 8 2}

Add the carried number to the multiplication:

5 + 2 \cdot 7 = 19

Carry

1

to the column on the left and write

9

in the result line

\frac{\times 1 5 2 9 2 8 7 4 8}{2 9 2 8 7 8 2}

Add the carried digit,

1

, to the result

\frac{\times 1 5 2 9 2 8 7 4 8}{1 2 9 2 8 7 8 2}

Multiply the top number by the bolded digit of the bottom number

\frac{\times 2 9 8 7 4 8}{1 2 9 2 8 7 8 2}

Mutliply the bold numbers:

4 \cdot 9 = 36

Carry

3

to the column on the left and write

6

in the result line

\frac{\times 2 9 3 8 7 4 8}{1 2 9 2 8 6 7 8 2}

Add the carried number to the multiplication:

3 + 8 \cdot 9 = 75

Carry

7

to the column on the left and write

5

in the result line

\frac{\times 7 2 9 3 8 7 4 8}{1 2 9 5 2 8 6 7 8 2}

Add the carried number to the multiplication:

7 + 2 \cdot 9 = 25

Carry

2

to the column on the left and write

5

in the result line

\frac{\times 2 7 2 9 3 8 7 4 8}{1 5 2 9 5 2 8 6 7 8 2}

Add the carried digit,

2

, to the result

\frac{\times 2 7 2 9 3 8 7 4 8}{2 1 5 2 9 5 2 8 6 7 8 2}

Add the rows to get the answer. For simplicity, fill in trailing zeros

\frac{\times 2 9 8 7 4 8}{0 0 2 0 1 5 2 9 5 2 8 6 7 8 0 2 0 0}

2272 + 19880 + 255600 = 277752

+ 002015295286780200

Add the digits of the bolded column:

2 + 0 + 0 = 2

\frac{+ 0 0 2 0 1 5 2 9 5 2 8 6 7 8 0 2 0 0}{+ 2}

Add the digits of the bolded column:

7 + 8 + 0 = 15

\frac{+ 0 0 2 0 1 5 2 9 5 2 8 6 7 8 0 2 0 0}{+ 2}

Carry

1

to the column on the left and write

5

in the bolded column

\frac{+ 0 0 2 0 1 5 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 5 2}

Add the digits of the bolded column:

1 + 2 + 8 + 6 = 17

\frac{+ 0 0 2 0 1 5 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 5 2}

Carry

1

to the column on the left and write

7

in the bolded column

\frac{+ 0 0 2 0 1 5 1 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 7 5 2}

Add the digits of the bolded column:

1 + 2 + 9 + 5 = 17

\frac{+ 0 0 2 0 1 5 1 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 7 5 2}

Carry

1

to the column on the left and write

7

in the bolded column

\frac{+ 0 0 2 1 0 1 5 1 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 7 7 5 2}

Add the digits of the bolded column:

1 + 0 + 1 + 5 = 7

\frac{+ 0 0 2 1 0 1 5 1 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 7 7 7 5 2}

Add the digits of the bolded column:

0 + 0 + 2 = 2

\frac{+ 0 0 2 1 0 1 5 1 2 9 5 1 2 8 6 7 8 0 2 0 0}{+ 2 7 7 7 5 2}

= 277752

= 277752

28.4

has

1

decimal place

9.78

has

2

decimal places

= 277.752

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-2^2-4

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\frac{8}{2} \cdot 2 + 2

Frequently Asked Questions (FAQ)

What is longmult 28.4*9.78 ?
The solution to longmult 28.4*9.78 is 277.752