What is 37-45-5\times 8-6\times 2^3\div 10+20^2 ?

The solution to 37-45-5\times 8-6\times 2^3\div 10+20^2 is 347 1/5

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Popular >

37-45-5\times 8-6\times 2^3\div 10+20^2

Solution

37 - 45 - 5 \times 8 - 6 \times 2^{3} \div 10 + 2 0^{2}

Solution

347 \frac{1}{5}

Solution steps

37 - 45 - 5 \times 8 - 6 \times 2^{3} \div 10 + 2 0^{2}

Follow the PEMDAS order of operations

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 37 - 45 - 5 \times 8 - 6 \times 8 \div 10 + 2 0^{2}

Calculate exponents

2 0^{2} : 400

2 0^{2}

2 0^{2} = 400

= 400

= 37 - 45 - 5 \times 8 - 6 \times 8 \div 10 + 400

Multiply and divide (left to right)

5 \times 8 : 40

5 \times 8

5 \times 8 = 40

= 40

= 37 - 45 - 40 - 6 \times 8 \div 10 + 400

Multiply and divide (left to right)

6 \times 8 \div 10 : \frac{48}{10}

6 \times 8 \div 10

6 \times 8 = 48

= 48 \div 10

48 \div 10 = \frac{48}{10}

= \frac{48}{10}

= 37 - 45 - 40 - \frac{48}{10} + 400

Add and subtract (left to right)

37 - 45 - 40 - \frac{48}{10} + 400 : \frac{1736}{5}

37 - 45 - 40 - \frac{48}{10} + 400

37 - 45 = - 8

= - 8 - 40 - \frac{48}{10} + 400

- 8 - 40 = - 48

= - 48 - \frac{48}{10} + 400

- 48 - \frac{48}{10} = - \frac{264}{5}

= - \frac{264}{5} + 400

- \frac{264}{5} + 400 = \frac{1736}{5}

- \frac{264}{5} + 400

Convert element to fraction:

400 = \frac{400 \cdot 5}{5}

= \frac{400 \cdot 5}{5} - \frac{264}{5}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{400 \cdot 5 - 264}{5}

400 \cdot 5 - 264 = 1736

400 \cdot 5 - 264

Multiply the numbers:

400 \cdot 5 = 2000

= 2000 - 264

Subtract the numbers:

2000 - 264 = 1736

= 1736

= \frac{1736}{5}

= \frac{1736}{5}

= \frac{1736}{5}

Convert improper fractions to mixed numbers:

\frac{1736}{5} = 347 \frac{1}{5}

\frac{1736}{5} = 347

Remainder

1

\frac{1736}{5}

Write the problem in long division format

5 \overline{∣ 1736}

Divide

17

5

to get

3

Divide

17

5

to get

3

3 5 \overline{∣ 1736}

Multiply the quotient digit

(3)

by the divisor

5

3 5 \overline{∣ 1736} \underline{15}

Subtract

15

from

17

3 5 \overline{∣ 1736} \underline{15} 2

Bring down the next number of the dividend

3 5 \overline{∣ 1736} \underline{15} 23

3 5 \overline{∣ 1736} \underline{15} 23

Divide

23

5

to get

4

Divide

23

5

to get

4

34 5 \overline{∣ 1736} \underline{15} 23

Multiply the quotient digit

(4)

by the divisor

5

34 5 \overline{∣ 1736} \underline{15} 23 \underline{20}

Subtract

20

from

23

34 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 3

Bring down the next number of the dividend

34 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 36

34 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 36

Divide

36

5

to get

7

Divide

36

5

to get

7

347 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 36

Multiply the quotient digit

(7)

by the divisor

5

347 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 36 \underline{35}

Subtract

35

from

36

347 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 36 \underline{35} 1

347 5 \overline{∣ 1736} \underline{15} 23 \underline{20} 36 \underline{35} 1

The solution for Long Division of

\frac{1736}{5}

347

with remainder of

1

347 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1736}{5} = 347 \frac{1}{5}

= 347 \frac{1}{5}

= 347 \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is 37-45-5\times 8-6\times 2^3\div 10+20^2 ?
The solution to 37-45-5\times 8-6\times 2^3\div 10+20^2 is 347 1/5