What is longmult 146*74.5 ?

The solution to longmult 146*74.5 is 10877

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Popular Pre Algebra >

longmult 146*74.5

Solution

longmult

Solution

10877

Solution steps

146 \cdot 74.5

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

146 \cdot 745 = 108770

146 \cdot 745

Line up the numbers

\times 174465

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 174465

Mutliply the bold numbers:

6 \cdot 5 = 30

Carry

3

to the column on the left and write

0

in the result line

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

Add the carried number to the multiplication:

3 + 4 \cdot 5 = 23

Carry

2

to the column on the left and write

3

in the result line

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

Add the carried number to the multiplication:

2 + 1 \cdot 5 = 7

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

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

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

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 1 7 2 4 4 6 5}{7 3 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 1 1 7 2 4 4 6 5}{7 8 3 4 0}

Add the carried number to the multiplication:

1 + 1 \cdot 4 = 5

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

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

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

Mutliply the bold numbers:

6 \cdot 7 = 42

Carry

4

to the column on the left and write

2

in the result line

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

Add the carried number to the multiplication:

4 + 4 \cdot 7 = 32

Carry

3

to the column on the left and write

2

in the result line

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

Add the carried number to the multiplication:

3 + 1 \cdot 7 = 10

Carry

1

to the column on the left and write

0

in the result line

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

Add the carried digit,

1

, to the result

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

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

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

730 + 5840 + 102200 = 108770

+ 001000052782340000

Add the digits of the bolded column:

0 + 0 + 0 = 0

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

Add the digits of the bolded column:

3 + 4 + 0 = 7

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

Add the digits of the bolded column:

7 + 8 + 2 = 17

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

Carry

1

to the column on the left and write

7

in the bolded column

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

Add the digits of the bolded column:

1 + 0 + 5 + 2 = 8

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

Add the digits of the bolded column:

0 + 0 + 0 = 0

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

Add the digits of the bolded column:

0 + 0 + 1 = 1

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

= 108770

= 108770

146

has

0

decimal places

74.5

has

1

decimal place

= 10877.0

Refine

= 10877

Popular Examples

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Frequently Asked Questions (FAQ)

What is longmult 146*74.5 ?
The solution to longmult 146*74.5 is 10877

longmult 146*74.5

Solution

Solution

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Frequently Asked Questions (FAQ)

What is longmult 146*74.5 ?

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