Question

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Answer 1

A kilogram is 100,000 times greater than a centigram

Step-by-step explanation:

The table representing the relationship between grams and its sub-units is the following:

Microgram ($\mu g$) = $10^{-6}$ grams (g)

Milligram (mg) = $10^{-3}$ grams (g)

Centigram (cg) = $10^{-2}$ grams (g)

Gram (g) = $10^0$ grams (g)

Kilogram (kg) = $10^3$ grams (g)

Let's now analyze the different statements given:

A microgram is 1,000 times greater than a milligram.  --> FALSE. In fact, a microgram is $\frac{10^{-6}}{10^{-3}}=0.001$ times a milligram, so it is 1000 times smaller than a milligram.

A milligram is 10 times greater than a centigram.  --> FALSE. In fact, a milligram is $\frac{10^{-3}}{10^{-2}}=0.1$ times a centigram, so it is 10 times smaller than a centigram.

A centigram is 100 times greater than a microgram.  --> FALSE. In fact, a centigram is $\frac{10^{-2}}{10^{-6}}=10^4=10,000$ times a microgram, so it is 10,000 greater than a microgram.

A kilogram is 100,000 times greater than a centigram. --> TRUE. In fact, a kilogram is $\frac{10^3}{10^{-2}}=10^5 = 100,000$ times a centigram.

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Answer 2

Answer:

d

Step-by-step explanation: