Answer:
[tex](2\times 10^{-3})\times (4\times 10^4)=4\times 10^1[/tex]
Step-by-step explanation:
We have been given that a mustard seed has a mass about 0.002 gm. A glass jar contains about [tex]4.3602\times 10^4[/tex] seeds. We are asked to find the mass of mustard seeds in the jar.
First of all, we will convert the mass of mustard seed in scientific notation.
[tex]0.002=2\times 10^{-3}[/tex]
To find the mass of seeds in jar, we will multiply number of seeds by mass of one seed.
[tex]\text{Mass of seeds in jar}=2\times 10^{-3}\times 4.3602\times 10^4[/tex]
Using exponent property [tex]a^b\cdot a^c=a^{b+c}[/tex], we will get:
[tex]\text{Mass of seeds in jar}=2\times 4.3602\times 10^{-3+4}[/tex]
[tex]\text{Mass of seeds in jar}=8.7204\times 10^{1}[/tex]
Therefore, option C is the correct choice.
