Chapter Test
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1day=24h=24* 60min= 24* 60* 60s
\WriteProd
Commutative Property of Multiplication
a^m*a^n=a^(m+n)
Multiply
Rewrite 1728 as 1.728* 10^3
Associative Property of Multiplication
a^m*a^n=a^(m+n)
In one day your body produces about 1.728* 10^(11) red blood cells.
y=t* (2* 10^6) Here y represents the number of red blood cells produced in t seconds. We want to determine how long it will take to replace the red blood cells lost by donating one pint of blood. There are 2.4* 10^(12) red blood cells in one pint of blood. Therefore, we want to know what t will be when y= 2.4* 10^(12).
y= 2.4* 10^(12)
.LHS /(2* 10^6).=.RHS /(2* 10^6).
Write as a product of fractions
Calculate quotient
a^m/a^n= a^(m-n)
Rearrange equation
\WriteProd
Commutative Property of Multiplication
Multiply
a* a=a^2
Rewrite 864 as 8.64* 10^2
Associative Property of Multiplication
a^m*a^n=a^(m+n)
Next we can form the conversion factor. 1day =8.64* 10^4sec ⇒ 1day/8.64* 10^4sec Finally, using this conversion factor we will convert 1.2* 10^6sec to days.
a*b/c= a* b/c
Cancel out common factors
Simplify quotient
a * 1=a
Write as a product of fractions
Use a calculator
a^m/a^n= a^(m-n)
Calculate power
Multiply
It will take your body about 14 days to replace the red blood cells lost by donating one pint of blood.