Answer :
Answer:
[tex]1.2 \times 10^{10}[/tex]
Step-by-step explanation:
We are given:
- Total mass of sugar in the container:
[tex]9.6 \times 10^6[/tex] - Average mass of each grain of sugar:
[tex]8 \times 10^{-4}[/tex]
We are asked to determine the number of grains in the container
- Number of grains in container is calculated as follows
Total mass of sugar ÷ Average mass of each grain of sugar
[tex]= \dfrac{9.6 \times 10^6}{8 \times 10^{-4}}\\\\= \dfrac{9.6}{8} \cdot \dfrac{10^6}{10^{-4}}[/tex]
[tex]\quad \dfrac{9.6}{8} = 1.2[/tex]
[tex]\dfrac{10^6}{10^{-4}} = 10^{6 - (-4)} = 10^{10}[/tex] - Therefore
Number of grains of sugar in container = [tex]1.2 \times 10^{10}[/tex]
