High School

There are [tex]9.6 \times 10^6[/tex] grams of sugar in a container. The average mass of each grain of sugar is [tex]8 \times 10^{-4}[/tex] grams.

Use this information to calculate how many grains of sugar are in the container. Give your answer in standard index form.

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]