A newborn giant panda has a mass of [tex]$9.0 \times 10^{-2}$[/tex] 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.

In scientific notation, the mass of the adult male giant panda is [Choose...] times greater.



Answer :

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.