Question

without actual division find the decimal expansion of 541/8000​

Answer 1

Given:

$\dfrac{541}{8000}$

To Find:

The decimal expansion

Solution:

$\dfrac{541}{8000} = \dfrac{541}{8 \times 1000}$

Rewrite 1000 as a power of 3:

$\dfrac{541}{8000} = \dfrac{541}{8 \times 10^3}$

Multiply both the numerator and denominator by 125:

$\dfrac{541}{8000} = \dfrac{541}{8 \times 10^3} \times \dfrac{125}{125}$

$\dfrac{541}{8000} = \dfrac{67625}{1000 \times 10^3}$

Rewrite 1000 as a power of 3:

$\dfrac{541}{8000} = \dfrac{67625}{10^3 \times 10^3}$

Combine the two exponents in the denominator:

$\dfrac{541}{8000} = \dfrac{67625}{10^6}$

$\dfrac{541}{8000} = \dfrac{67625}{1000000}$

Divide by moving the decimal points:

$\dfrac{541}{8000} =0.067625$

Answer: 0.067625

Answer 2

Answer:

hey mate ur ans is 0.67625