What is longmult 7.86*4.6 ?

The solution to longmult 7.86*4.6 is 36.156

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Popular >

longmult 7.86*4.6

Solution

long multiplication

7.86 \cdot 4.6

Solution

36.156

Solution steps

7.86 \cdot 4.6

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

786 \cdot 46 = 36156

786 \cdot 46

Line up the numbers

\times 78466

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 78466

Mutliply the bold numbers:

6 \cdot 6 = 36

Carry

3

to the column on the left and write

6

in the result line

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

Add the carried number to the multiplication:

3 + 8 \cdot 6 = 51

Carry

5

to the column on the left and write

1

in the result line

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

Add the carried number to the multiplication:

5 + 7 \cdot 6 = 47

Carry

4

to the column on the left and write

7

in the result line

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

Add the carried digit,

4

, to the result

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

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

\frac{\times 7 8 4 6 6}{4 7 1 6}

Mutliply the bold numbers:

6 \cdot 4 = 24

Carry

2

to the column on the left and write

4

in the result line

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

Add the carried number to the multiplication:

2 + 8 \cdot 4 = 34

Carry

3

to the column on the left and write

4

in the result line

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

Add the carried number to the multiplication:

3 + 7 \cdot 4 = 31

Carry

3

to the column on the left and write

1

in the result line

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

Add the carried digit,

3

, to the result

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

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

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

4716 + 31440 = 36156

+ 0341741460

Add the digits of the bolded column:

6 + 0 = 6

\frac{+ 0 3 4 1 7 4 1 4 6 0}{+ 6}

Add the digits of the bolded column:

1 + 4 = 5

\frac{+ 0 3 4 1 7 4 1 4 6 0}{+ 5 6}

Add the digits of the bolded column:

7 + 4 = 11

\frac{+ 0 3 4 1 7 4 1 4 6 0}{+ 5 6}

Carry

1

to the column on the left and write

1

in the bolded column

\frac{+ 0 3 1 4 1 7 4 1 4 6 0}{+ 1 5 6}

Add the digits of the bolded column:

1 + 4 + 1 = 6

\frac{+ 0 3 1 4 1 7 4 1 4 6 0}{+ 6 1 5 6}

Add the digits of the bolded column:

0 + 3 = 3

\frac{+ 0 3 1 4 1 7 4 1 4 6 0}{+ 3 6 1 5 6}

= 36156

= 36156

7.86

has

2

decimal places

4.6

has

1

decimal place

= 36.156

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Frequently Asked Questions (FAQ)

What is longmult 7.86*4.6 ?
The solution to longmult 7.86*4.6 is 36.156