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Popular Pre Algebra >

Multiply Using Long Multiplication 64*3.14

  • Pre Algebra
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Solution

longmult

Solution

200.96
Solution steps
64⋅3.14
Multiply without the decimal points, then put the decimal point in the answer
64⋅314=20096
64⋅314
Line up the numbers×​3​61​44​
For convenience, place the longer number on top314⋅64
Line up the numbers×​3​16​44​
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×​3​16​44​
Mutliply the bold numbers: 4⋅4=16Carry 1 to the column on the left and write 6 in the result line​​​6​×​3​116​44​​
Add the carried number to the multiplication: 1+1⋅4=5​​5​6​×​3​116​44​​
Mutliply the bold numbers: 3⋅4=12Carry 1 to the column on the left and write 2 in the result line​​2​5​6​×​1​3​116​44​​
Add the carried digit, 1, to the result​1​2​5​6​×​1​3​116​44​​
Multiply the top number by the bolded digit of the bottom number​1​2​5​6​​×​3​16​44​​
Mutliply the bold numbers: 4⋅6=24Carry 2 to the column on the left and write 4 in the result line​1​2​54​6​​×​3​216​44​​
Add the carried number to the multiplication: 2+1⋅6=8​1​28​54​6​​×​3​216​44​​
Mutliply the bold numbers: 3⋅6=18Carry 1 to the column on the left and write 8 in the result line​18​28​54​6​×​1​3​216​44​​
Add the carried digit, 1, to the result1​18​28​54​6​×​1​3​216​44​​
Add the rows to get the answer. For simplicity, fill in trailing zeros 01​18​28​54​60​​×​3​16​44​​
1256+18840=20096
+​01​18​28​54​60​
Add the digits of the bolded column: 6+0=6+​​​​​6​+​01​18​28​54​60​​
Add the digits of the bolded column: 5+4=9+​​​​9​6​+​01​18​28​54​60​​
Add the digits of the bolded column: 2+8=10+​​​​9​6​+​01​18​28​54​60​​
Carry 1 to the column on the left and write 0 in the bolded column+​​​0​9​6​+​01​118​28​54​60​​
Add the digits of the bolded column: 1+1+8=10+​​​0​9​6​+​01​118​28​54​60​​
Carry 1 to the column on the left and write 0 in the bolded column+​​0​0​9​6​+​101​118​28​54​60​​
Add the digits of the bolded column: 1+0+1=2+​2​0​0​9​6​+​101​118​28​54​60​​
=20096
=20096
64 has 0 decimal places3.14 has 2 decimal places=200.96

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Frequently Asked Questions (FAQ)

  • What is longmult 64*3.14 ?

    The solution to longmult 64*3.14 is 200.96

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