How do I solve $0.001 = "10,000,000"/y$ ?

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Answer 1 · 2017-04-11T18:26:22

$y$ = 10,000,000,000

Since y is at the bottom of the fraction, it can switch place with the 0.001.

$y$ = $(10,000,000)/0.001$

$y$ = 10,000,000,000

Answer 2 · 2017-04-11T20:07:31

Convert the numbers to powers of 10, and use the exponent laws: $10^a/10^b=10^(a-b).$

$y=10^10 = "10,000,000,000".$

Let's rewrite this question using powers of 10:

$0.001 = "10,000,000"/y$

$10^"-3"=(10^7)/y$

When we solve this for $y$ , we get

$y=(10^7)/10^"-3"$

The exponent rules tell us that $10^a/10^b$ is equal to $10^(a-b)$ . Using this, we get

$y=(10^7)/10^"-3"=10^(7-("-3"))$
$color(white)(y=(10^7)/10^"-3")=10^(7+3)$
$color(white)(y=(10^7)/10^"-3")=10^10" "="10,000,000,000"$

How do I solve 0.001 = "10,000,000"/y0.001 = "10,000,000"/y?