What is (2000^2-81)/(2001-1991) ?

The solution to (2000^2-81)/(2001-1991) is 399991 9/10

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Popular Pre Algebra >

(2000^2-81)/(2001-1991)

Solution

\frac{200 0 ^{2} - 81}{2001 - 1991}

Solution

399991 \frac{9}{10}

Decimal

399991.9

Solution steps

\frac{200 0 ^{2} - 81}{2001 - 1991}

Solve

200 0^{2} - 81 : 3999919

Follow the PEMDAS order of operations

Calculate exponents

200 0^{2} : 4000000

200 0^{2}

200 0^{2} = 4000000

= 4000000

= 4000000 - 81

Add and subtract (left to right)

4000000 - 81 : 3999919

4000000 - 81

4000000 - 81 = 3999919

= 3999919

= 3999919

Solve

2001 - 1991 : 10

2001 - 1991 = 10

= 10

= \frac{3999919}{10}

Convert improper fractions to mixed numbers:

\frac{3999919}{10} = 399991 \frac{9}{10}

\frac{3999919}{10} = 399991

Remainder

9

\frac{3999919}{10}

Write the problem in long division format

10 \overline{∣ 3999919}

Divide

39

10

to get

3

Divide

39

10

to get

3

3 10 \overline{∣ 3999919}

Multiply the quotient digit

(3)

by the divisor

10

3 10 \overline{∣ 3999919} \underline{30}

Subtract

30

from

39

3 10 \overline{∣ 3999919} \underline{30} 9

Bring down the next number of the dividend

3 10 \overline{∣ 3999919} \underline{30} 99

3 10 \overline{∣ 3999919} \underline{30} 99

Divide

99

10

to get

9

Divide

99

10

to get

9

39 10 \overline{∣ 3999919} \underline{30} 99

Multiply the quotient digit

(9)

by the divisor

10

39 10 \overline{∣ 3999919} \underline{30} 99 \underline{90}

Subtract

90

from

99

39 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 9

Bring down the next number of the dividend

39 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99

39 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99

Divide

99

10

to get

9

Divide

99

10

to get

9

399 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99

Multiply the quotient digit

(9)

by the divisor

10

399 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90}

Subtract

90

from

99

399 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 9

Bring down the next number of the dividend

399 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99

399 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99

Divide

99

10

to get

9

Divide

99

10

to get

9

3999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99

Multiply the quotient digit

(9)

by the divisor

10

3999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90}

Subtract

90

from

99

3999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 9

Bring down the next number of the dividend

3999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91

3999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91

Divide

91

10

to get

9

Divide

91

10

to get

9

39999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91

Multiply the quotient digit

(9)

by the divisor

10

39999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90}

Subtract

90

from

91

39999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 1

Bring down the next number of the dividend

39999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 19

39999 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 19

Divide

19

10

to get

1

Divide

19

10

to get

1

399991 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 19

Multiply the quotient digit

(1)

by the divisor

10

399991 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 19 \underline{10}

Subtract

10

from

19

399991 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 19 \underline{10} 9

399991 10 \overline{∣ 3999919} \underline{30} 99 \underline{90} 99 \underline{90} 99 \underline{90} 91 \underline{90} 19 \underline{10} 9

The solution for Long Division of

\frac{3999919}{10}

399991

with remainder of

9

399991 Remainder 9

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3999919}{10} = 399991 \frac{9}{10}

= 399991 \frac{9}{10}

= 399991 \frac{9}{10}

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Frequently Asked Questions (FAQ)

What is (2000^2-81)/(2001-1991) ?
The solution to (2000^2-81)/(2001-1991) is 399991 9/10

(2000^2-81)/(2001-1991)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (2000^2-81)/(2001-1991) ?

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