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Popular Pre Algebra >

1000-(324+1/100)

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Solution

1000−(324+1001​)

Solution

67510099​
+1
Decimal
675.99
Solution steps
1000−(324+1001​)
Follow the PEMDAS order of operations
Calculate within parentheses (324+1001​):10032401​
324+1001​
324+1001​=10032401​
324+1001​
Convert element to fraction: 324=100324⋅100​=100324⋅100​+1001​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=100324⋅100+1​
324⋅100+1=32401
324⋅100+1
Multiply the numbers: 324⋅100=32400=32400+1
Add the numbers: 32400+1=32401=32401
=10032401​
=10032401​
=1000−10032401​
Add and subtract (left to right) 1000−10032401​:10067599​
1000−10032401​
1000−10032401​=10067599​
1000−10032401​
Convert element to fraction: 1000=1001000⋅100​=1001000⋅100​−10032401​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=1001000⋅100−32401​
1000⋅100−32401=67599
1000⋅100−32401
Multiply the numbers: 1000⋅100=100000=100000−32401
Subtract the numbers: 100000−32401=67599=67599
=10067599​
=10067599​
=10067599​
Convert improper fractions to mixed numbers:10067599​=67510099​
10067599​=675Remainder99
10067599​
Write the problem in long division format100∣67599​​
Divide 675by 100to get 6
Divide 675by 100to get 66100∣67599​​
Multiply the quotient digit (6)by the divisor 1006100∣67599​600​​
Subtract 600from 6756100∣67599​600​75​
Bring down the next number of the dividend6100∣67599​600​759​
6100∣67599​600​759​
Divide 759by 100to get 7
Divide 759by 100to get 767100∣67599​600​759​
Multiply the quotient digit (7)by the divisor 10067100∣67599​600​759700​​
Subtract 700from 75967100∣67599​600​759700​59​
Bring down the next number of the dividend67100∣67599​600​759700​599​
67100∣67599​600​759700​599​
Divide 599by 100to get 5
Divide 599by 100to get 5675100∣67599​600​759700​599​
Multiply the quotient digit (5)by the divisor 100675100∣67599​600​759700​599500​​
Subtract 500from 599675100∣67599​600​759700​599500​99​
675100∣67599​600​759700​599500​99​
The solution for Long Division of 10067599​is 675with remainder of 99675Remainder99
Convert to mixed number: QuotientDivisorRemainder​10067599​=67510099​
=67510099​
=67510099​

Popular Examples

3+6(9-5)-5(2)^212+(2^3\div 2/3)-23(-5)-118-3^2\div 3

Frequently Asked Questions (FAQ)

  • What is 1000-(324+1/100) ?

    The solution to 1000-(324+1/100) is 675 99/100

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