To determine how many times greater the mass of an adult male giant panda is compared to a newborn giant panda, follow these steps:
1. Identify the given masses:
- The mass of the newborn giant panda is [tex]\( 9.0 \times 10^{-2} \)[/tex] kilograms.
- The mass of the adult male giant panda is 99 kilograms.
2. Convert the masses for comparison:
- The mass of the newborn is already in scientific notation: [tex]\( 9.0 \times 10^{-2} \)[/tex] kilograms.
- The mass of the adult male giant panda is 99 kilograms, which can be expressed in scientific notation as [tex]\( 9.9 \times 10^1 \)[/tex] kilograms.
3. Calculate the ratio of the adult's mass to the newborn's mass to find how many times greater it is:
- Divide the mass of the adult male giant panda by the mass of the newborn giant panda:
[tex]\[
\text{times greater} = \frac{99 \ \text{kg}}{9.0 \times 10^{-2} \ \text{kg}}
\][/tex]
4. Perform the division:
- Simplify the calculation:
[tex]\[
\text{times greater} = \frac{99}{0.09}
\][/tex]
- Calculating this division:
[tex]\[
\text{times greater} = 1100
\][/tex]
5. Express the result in scientific notation:
- [tex]\( 1100 \)[/tex] can be written in scientific notation as [tex]\( 1.1 \times 10^3 \)[/tex].
Therefore, the mass of the adult male giant panda is [tex]\( 1.1 \times 10^3 \)[/tex] times greater than the mass of the newborn giant panda.
