What is longmult 324.45*98.4 ?

The solution to longmult 324.45*98.4 is 31925.88

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Popular >

longmult 324.45*98.4

Solution

long multiplication

324.45 \cdot 98.4

Solution

31925.88

Solution steps

324.45 \cdot 98.4

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

32445 \cdot 984 = 31925880

32445 \cdot 984

Line up the numbers

\times 32494854

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 32494854

Mutliply the bold numbers:

5 \cdot 4 = 20

Carry

2

to the column on the left and write

0

in the result line

\frac{\times 3 2 4 9 2 4 8 5 4}{0}

Add the carried number to the multiplication:

2 + 4 \cdot 4 = 18

Carry

1

to the column on the left and write

8

in the result line

\frac{\times 3 2 1 4 9 2 4 8 5 4}{8 0}

Add the carried number to the multiplication:

1 + 4 \cdot 4 = 17

Carry

1

to the column on the left and write

7

in the result line

\frac{\times 3 1 2 1 4 9 2 4 8 5 4}{7 8 0}

Add the carried number to the multiplication:

1 + 2 \cdot 4 = 9

\frac{\times 3 1 2 1 4 9 2 4 8 5 4}{9 7 8 0}

Mutliply the bold numbers:

3 \cdot 4 = 12

Carry

1

to the column on the left and write

2

in the result line

\frac{\times 1 3 1 2 1 4 9 2 4 8 5 4}{2 9 7 8 0}

Add the carried digit,

1

, to the result

\frac{\times 1 3 1 2 1 4 9 2 4 8 5 4}{1 2 9 7 8 0}

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

\frac{\times 3 2 4 9 4 8 5 4}{1 2 9 7 8 0}

Mutliply the bold numbers:

5 \cdot 8 = 40

Carry

4

to the column on the left and write

0

in the result line

\frac{\times 3 2 4 9 4 4 8 5 4}{1 2 9 7 8 0 0}

Add the carried number to the multiplication:

4 + 4 \cdot 8 = 36

Carry

3

to the column on the left and write

6

in the result line

\frac{\times 3 2 3 4 9 4 4 8 5 4}{1 2 9 7 6 8 0 0}

Add the carried number to the multiplication:

3 + 4 \cdot 8 = 35

Carry

3

to the column on the left and write

5

in the result line

\frac{\times 3 3 2 3 4 9 4 4 8 5 4}{1 2 9 5 7 6 8 0 0}

Add the carried number to the multiplication:

3 + 2 \cdot 8 = 19

Carry

1

to the column on the left and write

9

in the result line

\frac{\times 1 3 3 2 3 4 9 4 4 8 5 4}{1 2 9 9 5 7 6 8 0 0}

Add the carried number to the multiplication:

1 + 3 \cdot 8 = 25

Carry

2

to the column on the left and write

5

in the result line

\frac{\times 2 1 3 3 2 3 4 9 4 4 8 5 4}{1 5 2 9 9 5 7 6 8 0 0}

Add the carried digit,

2

, to the result

\frac{\times 2 1 3 3 2 3 4 9 4 4 8 5 4}{2 1 5 2 9 9 5 7 6 8 0 0}

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

\frac{\times 3 2 4 9 4 8 5 4}{2 1 5 2 9 9 5 7 6 8 0 0}

Mutliply the bold numbers:

5 \cdot 9 = 45

Carry

4

to the column on the left and write

5

in the result line

\frac{\times 3 2 4 9 4 4 8 5 4}{2 1 5 2 9 9 5 7 6 5 8 0 0}

Add the carried number to the multiplication:

4 + 4 \cdot 9 = 40

Carry

4

to the column on the left and write

0

in the result line

\frac{\times 3 2 4 4 9 4 4 8 5 4}{2 1 5 2 9 9 5 0 7 6 5 8 0 0}

Add the carried number to the multiplication:

4 + 4 \cdot 9 = 40

Carry

4

to the column on the left and write

0

in the result line

\frac{\times 3 4 2 4 4 9 4 4 8 5 4}{2 1 5 2 9 0 9 5 0 7 6 5 8 0 0}

Add the carried number to the multiplication:

4 + 2 \cdot 9 = 22

Carry

2

to the column on the left and write

2

in the result line

\frac{\times 2 3 4 2 4 4 9 4 4 8 5 4}{2 1 5 2 2 9 0 9 5 0 7 6 5 8 0 0}

Add the carried number to the multiplication:

2 + 3 \cdot 9 = 29

Carry

2

to the column on the left and write

9

in the result line

\frac{\times 2 2 3 4 2 4 4 9 4 4 8 5 4}{2 9 1 5 2 2 9 0 9 5 0 7 6 5 8 0 0}

Add the carried digit,

2

, to the result

\frac{\times 2 2 3 4 2 4 4 9 4 4 8 5 4}{2 2 9 1 5 2 2 9 0 9 5 0 7 6 5 8 0 0}

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

\frac{\times 3 2 4 9 4 8 5 4}{0 0 2 0 2 9 1 5 2 2 9 0 9 5 0 7 6 5 8 0 0 0 0 0}

129780 + 2595600 + 29200500 = 31925880

+ 002029152290950765800000

Add the digits of the bolded column:

0 + 0 + 0 = 0

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

Add the digits of the bolded column:

8 + 0 + 0 = 8

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

Add the digits of the bolded column:

7 + 6 + 5 = 18

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

Carry

1

to the column on the left and write

8

in the bolded column

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

Add the digits of the bolded column:

1 + 9 + 5 + 0 = 15

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

Carry

1

to the column on the left and write

5

in the bolded column

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

Add the digits of the bolded column:

1 + 2 + 9 + 0 = 12

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

Carry

1

to the column on the left and write

2

in the bolded column

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

Add the digits of the bolded column:

1 + 1 + 5 + 2 = 9

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

Add the digits of the bolded column:

0 + 2 + 9 = 11

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

Carry

1

to the column on the left and write

1

in the bolded column

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

Add the digits of the bolded column:

1 + 0 + 0 + 2 = 3

\frac{+ 1 0 0 2 0 2 9 1 1 5 2 1 2 9 0 1 9 5 0 7 6 5 8 0 0 0 0 0}{+ 3 1 9 2 5 8 8 0}

= 31925880

= 31925880

324.45

has

2

decimal places

98.4

has

1

decimal place

= 31925.880

Refine

= 31925.88

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Frequently Asked Questions (FAQ)

What is longmult 324.45*98.4 ?
The solution to longmult 324.45*98.4 is 31925.88