# Math Help - fun with numbers

1. ## fun with numbers

Find the value of 547527/82 if 547.527/0.0082 = x

options :

(1) x/10

(2) 10 x

(3) 100 x

(4) x/100

2. ## Re: fun with numbers

Originally Posted by sureshrju
Find the value of 547527/82 if 547.527/0.0082 = x

options :

(1) x/10

(2) 10 x

(3) 100 x

(4) x/100
I can see the value you want to find vary only in powers of 10 to x.

$547527 = 547.527 \times 10^3$ and $82 = 0.0082 \times 10^4$

Hence $\dfrac{547527}{82} = \dfrac{547.527}{0.0082} \times \dfrac{10^3}{10^4}$

You know what the first term is equal to so solve the powers of 10 and get the answer.

3. ## Re: fun with numbers

Hello, sureshrju!

Another approach . . .

$\text{Find the value of }\,\frac{547527}{82}\,\text{ if }\,\frac{547.527}{0.0082} \,=\, x$

. . $(1)\;\frac{x}{10} \qquad (2)\;10 x \qquad (3)\;100x \qquad (4)\;\frac{x}{100}$

We are given:. $\frac{547.527}{0.0082} \:=\:x$

Multiply by $\frac{10^4}{10^4}\!:\;\;\frac{10^4}{10^4} \cdot \frac{547.527}{0.0082} \:=\:x$

n . . . . . . . . . . . . . . $\frac{5475270}{82} \:=\:x$

. . . . . . . . . . . . . $\frac{547527\cdot 10}{82} \:=\:x$

n . . . . . . . . . . . . . . $\frac{547527}{82} \:=\:\frac{x}{10}$