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Question
a newborn baby has about 26,000,000,000 cells. an adult has about 4.94×10^13 cells. how many times as many cells does an adult have than a newborn? enter your answer in scientific notation. an adult has about times more cells than a newborn baby.
Step1: Write the number of baby's cells in scientific notation
The number of cells in a newborn baby is 26,000,000,000. In scientific - notation, it is $2.6\times10^{10}$.
Step2: Calculate the ratio of adult's cells to baby's cells
We want to find out how many times more cells an adult has than a baby. We divide the number of adult's cells by the number of baby's cells. Let $A = 4.94\times10^{13}$ (number of adult's cells) and $B = 2.6\times10^{10}$ (number of baby's cells). The ratio $r=\frac{A}{B}=\frac{4.94\times10^{13}}{2.6\times10^{10}}$.
Using the rule of exponents $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we have $\frac{4.94}{2.6}\times10^{13 - 10}$.
$\frac{4.94}{2.6}=1.9$, and $13-10 = 3$. So $r = 1.9\times10^{3}$.
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$1.9\times10^{3}$