Question

the decimal expansion of 23457/2^3*5^4 will terminate after how many places of decimals?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$Decimal \: expansion \: terminates \: after\\4\: decimal \:places$

Step-by-step explanation:

$Given \:\frac{23447}{2^{3}\times 5^{4}}\\=\frac{23447\times 2}{2\times 2^{3}\times 5^{4}}\\=\frac{46894}{2^{4}\times 5^{4}}\\=\frac{46894}{(2\times 5)^{4}}\\=\frac{46894}{10^{4}}\\=4.6894$

Therefore.,

$Decimal \: expansion \: terminates \: after\\4\: decimal \:places$

•••♪