What is 5(17)^2/10^3 ?

The solution to 5(17)^2/10^3 is 1 89/200

5(17)^2/10^3

5 (17)^{2} /1 0^{3}

1 \frac{89}{200}

Decimal

1.445

Solution steps

5 (17)^{2} /1 0^{3}

Follow the PEMDAS order of operations

Calculate exponents

(17)^{2} : 289

(17)^{2}

(17)^{2} = 289

= 289

= 5 \cdot 289/1 0^{3}

Calculate exponents

1 0^{3} : 1000

1 0^{3}

1 0^{3} = 1000

= 1000

= 5 \cdot 289/1000

Multiply and divide (left to right)

5 \cdot 289/1000 : \frac{1445}{1000}

5 \cdot 289/1000

5 \cdot 289 = 1445

= 1445/1000

1445/1000 = \frac{1445}{1000}

= \frac{1445}{1000}

= \frac{1445}{1000}

Simplify

\frac{1445}{1000} : 1 \frac{89}{200}

Cancel the common factor:

5

= \frac{289}{200}

Convert improper fractions to mixed numbers:

\frac{289}{200} = 1 \frac{89}{200}

\frac{289}{200} = 1

Remainder

89

\frac{289}{200}

Write the problem in long division format

200 \overline{∣ 289}

Divide

289

200

to get

1

Divide

289

200

to get

1

1 200 \overline{∣ 289}

Multiply the quotient digit

(1)

by the divisor

200

1 200 \overline{∣ 289} \underline{200}

Subtract

200

from

289

1 200 \overline{∣ 289} \underline{200} 89

1 200 \overline{∣ 289} \underline{200} 89

The solution for Long Division of

\frac{289}{200}

1

with remainder of

89

1 Remainder 89

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{289}{200} = 1 \frac{89}{200}

= 1 \frac{89}{200}

= 1 \frac{89}{200}