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

2 Answers
Apr 11, 2017

Answer:

#y# = 10,000,000,000

Explanation:

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

Apr 11, 2017

Answer:

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".#

Explanation:

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"#