Question

a newborn baby has about 26,000,000,000 cells. an adult has about 4.94 × 10¹³ 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.

Explanation:

Step1: Convert the number of cells of a newborn to scientific notation

The number of cells of a newborn is \(26,000,000,000 = 2.6\times10^{10}\)

Step2: Calculate the ratio of the number of cells of an adult to that of a newborn

We need to find \(\frac{4.94\times 10^{13}}{2.6\times 10^{10}}\)
Using the rule of exponents \(\frac{a\times10^{m}}{b\times 10^{n}}=\frac{a}{b}\times10^{m - n}\)
Here \(a = 4.94\), \(b=2.6\), \(m = 13\), \(n = 10\)
First, calculate \(\frac{4.94}{2.6}=1.9\)
Then, calculate \(10^{13-10}=10^{3}\)

So \(\frac{4.94\times 10^{13}}{2.6\times 10^{10}}=1.9\times10^{3}\)

Answer:

\(1.9\times 10^{3}\)