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Popular Pre Algebra >

2000-13/100+1820(2)

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Solution

2000−10013​+1820(2)

Solution

563910087​
+1
Decimal
5639.87
Solution steps
2000−10013​+1820(2)
Follow the PEMDAS order of operations
Multiply and divide (left to right) 1820(2):3640
1820(2)
Apply rule: (a)=a(2)=2=1820⋅2
Multiply the numbers: 1820⋅2=3640=3640
=2000−10013​+3640
Add and subtract (left to right) 2000−10013​+3640:100563987​
2000−10013​+3640
2000−10013​=100199987​
2000−10013​
Convert element to fraction: 2000=1002000⋅100​=1002000⋅100​−10013​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=1002000⋅100−13​
2000⋅100−13=199987
2000⋅100−13
Multiply the numbers: 2000⋅100=200000=200000−13
Subtract the numbers: 200000−13=199987=199987
=100199987​
=100199987​+3640
100199987​+3640=100563987​
100199987​+3640
Convert element to fraction: 3640=1003640⋅100​=1003640⋅100​+100199987​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=1003640⋅100+199987​
3640⋅100+199987=563987
3640⋅100+199987
Multiply the numbers: 3640⋅100=364000=364000+199987
Add the numbers: 364000+199987=563987=563987
=100563987​
=100563987​
=100563987​
Convert improper fractions to mixed numbers:100563987​=563910087​
100563987​=5639Remainder87
100563987​
Write the problem in long division format100∣563987​​
Divide 563by 100to get 5
Divide 563by 100to get 55100∣563987​​
Multiply the quotient digit (5)by the divisor 1005100∣563987​500​​
Subtract 500from 5635100∣563987​500​63​
Bring down the next number of the dividend5100∣563987​500​639​
5100∣563987​500​639​
Divide 639by 100to get 6
Divide 639by 100to get 656100∣563987​500​639​
Multiply the quotient digit (6)by the divisor 10056100∣563987​500​639600​​
Subtract 600from 63956100∣563987​500​639600​39​
Bring down the next number of the dividend56100∣563987​500​639600​398​
56100∣563987​500​639600​398​
Divide 398by 100to get 3
Divide 398by 100to get 3563100∣563987​500​639600​398​
Multiply the quotient digit (3)by the divisor 100563100∣563987​500​639600​398300​​
Subtract 300from 398563100∣563987​500​639600​398300​98​
Bring down the next number of the dividend563100∣563987​500​639600​398300​987​
563100∣563987​500​639600​398300​987​
Divide 987by 100to get 9
Divide 987by 100to get 95639100∣563987​500​639600​398300​987​
Multiply the quotient digit (9)by the divisor 1005639100∣563987​500​639600​398300​987900​​
Subtract 900from 9875639100∣563987​500​639600​398300​987900​87​
5639100∣563987​500​639600​398300​987900​87​
The solution for Long Division of 100563987​is 5639with remainder of 875639Remainder87
Convert to mixed number: QuotientDivisorRemainder​100563987​=563910087​
=563910087​
=563910087​

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Frequently Asked Questions (FAQ)

  • What is 2000-13/100+1820(2) ?

    The solution to 2000-13/100+1820(2) is 5639 87/100

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