Answer:
Step-by-step explanation:
Given the expression [tex]\frac{720,800}{x} = 7.208[/tex], we are to find the value of with powers of 10.
From the equation:
[tex]\frac{720,800}{x} = 7.208[/tex]
cross multiply
[tex]720,800 = 7.208x\\7.208x = 720,800[/tex]
divide both sides by 7.208
[tex]\frac{7.208x}{7.208} = \frac{720,800}{7.208} \\x = 100,000[/tex]
express x in powers of 10
[tex]x = 10 * 10 * 10 * 10* 10\\x = 10^5[/tex]
Similarly given the equation [tex]\frac{720,800}{y} = 72.08[/tex]
From the equation:
[tex]\frac{720,800}{x} = 72.08[/tex]
cross multiply
[tex]720,800 = 72.08x\\72.08x = 720,800[/tex]
divide both sides by 7.208
[tex]\frac{72.08x}{72.08} = \frac{720,800}{72.08} \\x = 10,000[/tex]
express x in powers of 10
[tex]x = 10 * 10 * 10 * 10\\x = 10^4[/tex]
For the equation [tex]\frac{720,800}{z} = 720.8[/tex]
From the equation:
[tex]\frac{720,800}{z} = 720.8[/tex]
cross multiply
[tex]720,800 = 720.8z\\720.8z = 720,800[/tex]
divide both sides by 7.208
[tex]\frac{72.08z}{720.8} = \frac{720,800}{720.8} \\z = 1,000[/tex]
express x in powers of 10
[tex]z = 10 * 10 * 10\\z = 10^3[/tex]
