Question

a newborn giant panda has a mass of $9.0 \times 10^{-2}$ kilograms. an adult male giant panda has a mass of 99 kilograms. how many times greater is the mass of the adult male giant panda than the mass of the newborn giant panda? use the drop - down menus to write the answer in scientific notation. click the arrows to choose an answer from each menu. in scientific notation, the mass of the adult male giant panda is choose... $\times$ choose... times greater.

Explanation:

Step1: Set up division equation

To find how many times greater the adult's mass is, divide the adult mass by the newborn mass:
$$\frac{99}{9.0 \times 10^{-2}}$$

Step2: Split the division

Separate the coefficient and the power of 10:
$$\frac{99}{9.0} \times \frac{1}{10^{-2}}$$

Step3: Calculate coefficient division

Compute $\frac{99}{9.0} = 11$

Step4: Simplify power of 10

Use exponent rule $\frac{1}{10^{-n}}=10^n$, so $\frac{1}{10^{-2}}=10^2$

Step5: Combine and convert to scientific notation

Multiply results, then rewrite 11 as $1.1 \times 10^1$:
$$11 \times 10^2 = 1.1 \times 10^1 \times 10^2 = 1.1 \times 10^{3}$$

Answer:

In scientific notation, the mass of the adult male giant panda is $1.1$ $\times$ $10^{3}$ times greater.