What is (5\times 10^3)/(-6\times 10^1) ?

The solution to (5\times 10^3)/(-6\times 10^1) is -83 1/3

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Popular >

(5\times 10^3)/(-6\times 10^1)

Solution

(5 \times 1 0^{3}) / (- 6 \times 1 0^{1})

Solution

- 83 \frac{1}{3}

Solution steps

(5 \times 1 0^{3}) / (- 6 \times 1 0^{1})

Follow the PEMDAS order of operations

Calculate within parentheses

(5 \times 1 0^{3}) : 5000

5 \times 1 0^{3}

Calculate exponents

1 0^{3} : 1000

1 0^{3}

1 0^{3} = 1000

= 1000

= 5 \times 1000

Multiply and divide (left to right)

5 \times 1000 : 5000

5 \times 1000

5 \times 1000 = 5000

= 5000

= 5000

= 5000/ (- 6 \times 1 0^{1})

Calculate within parentheses

(- 6 \times 1 0^{1}) : - 60

- 6 \times 1 0^{1}

Calculate exponents

1 0^{1} : 10

1 0^{1}

1 0^{1} = 10

= 10

= - 6 \times 10

Multiply and divide (left to right)

- 6 \times 10 : - 60

- 6 \times 10

- 6 \times 10 = - 60

= - 60

= - 60

= 5000/ (- 60)

Multiply and divide (left to right)

5000/ (- 60) : \frac{5000}{( - 60 )}

5000/ (- 60)

Apply rule

a / (- b) = - a / b

5000/ (- 60) = - 5000/60 = \frac{5000}{( - 60 )}

= \frac{5000}{( - 60 )}

= \frac{5000}{( - 60 )}

Simplify

\frac{5000}{( - 60 )} : - 83 \frac{1}{3}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{5000}{60}

Cancel the common factor:

20

= - \frac{250}{3}

Convert improper fractions to mixed numbers:

\frac{250}{3} = 83 \frac{1}{3}

\frac{250}{3} = 83

Remainder

1

\frac{250}{3}

Write the problem in long division format

3 \overline{∣ 250}

Divide

25

3

to get

8

Divide

25

3

to get

8

8 3 \overline{∣ 250}

Multiply the quotient digit

(8)

by the divisor

3

8 3 \overline{∣ 250} \underline{24}

Subtract

24

from

25

8 3 \overline{∣ 250} \underline{24} 1

Bring down the next number of the dividend

8 3 \overline{∣ 250} \underline{24} 10

8 3 \overline{∣ 250} \underline{24} 10

Divide

10

3

to get

3

Divide

10

3

to get

3

83 3 \overline{∣ 250} \underline{24} 10

Multiply the quotient digit

(3)

by the divisor

3

83 3 \overline{∣ 250} \underline{24} 10 \underline{9}

Subtract

9

from

10

83 3 \overline{∣ 250} \underline{24} 10 \underline{9} 1

83 3 \overline{∣ 250} \underline{24} 10 \underline{9} 1

The solution for Long Division of

\frac{250}{3}

83

with remainder of

1

83 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{250}{3} = 83 \frac{1}{3}

= 83 \frac{1}{3}

= - 83 \frac{1}{3}

Popular Examples

-5+8+7-9-8+17

- 5 + 8 + 7 - 9 - 8 + 17

2*(2)^2

2 \cdot (2)^{2}

5/5 \times 5(10/5+2)

\frac{5}{5} \times 5 (\frac{10}{5} + 2)

-2^2+16

- 2^{2} + 16

4\times 3-(12\div 6+1)

4 \times 3 - (12 \div 6 + 1)

Frequently Asked Questions (FAQ)

What is (5\times 10^3)/(-6\times 10^1) ?
The solution to (5\times 10^3)/(-6\times 10^1) is -83 1/3