simplify 1000*9.8*pi/(16) — step-by-step solution

Let's simplify:

1000 \times 9.8 \times \frac{π}{16}

ⓘ Multiply without the decimal points, then put the point back by counting the decimals of both factors:

1000 \times 9.8

\frac{1000 \times 98}{10}

\frac{98,000}{10}

9800

■Multiplying a fraction by a number multiplies its numerator:

9800 \times \frac{π}{16}

\frac{9800 π}{16}

\frac{9800 π}{16}

The fraction:

\frac{9800}{16}

simplifies by the common factor:

8

into the new fraction:

\frac{1225}{2}

▶Simplified form:

\frac{1225 π}{2}

The numeric value of:

\frac{1225 π}{2}

equals:

\frac{1225 \times \approx 3.1416}{2}

\frac{\approx 3848.4510}{2}

▷

\approx 1924.2255