An adult has 206 bones. Of those, approximately 2.9% are found in the inner ear. About how many bones in the human body are found in the inner ear?

Question

2545 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-14T04:19:24

#6# bones

The two steps to solving this problem are:

#1#. Converting #2.9%# into a fraction.
#2#. Multiplying the fraction form of #2.9%# by the total number of bones in the human body.

Rewriting 2.9% as a Fraction
Since #%# means "out of hundred," put #2.9# over #100#.

#2.9%#

#=2.9/100#

As there cannot be any decimals in a fraction, you must get rid of the decimal. You do this by multiplying the numerator and denominator by #10#.

#=2.9/100(10/10)#

#=29/1000#

Determining the Number of Bones Found in the Inner Ear
Multiply #206# bones by #29/1000#.

#206color(white)(i)"bones"*29/1000#

Since #206# and #1000# can be divided by a common factor of #2#, their values are reduced.

#=206color(red)(-:2)color(white)(i)"bones"*29/(1000color(red)(-:2))#

#=103color(white)(i)"bones"*29/500#

Solve.

#=5.974color(white)(i)"bones"#

#~~color(green)(|bar(ul(color(white)(a/a)color(black)(6color(white)(i)"bones")color(white)(a/a)|)))#