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Which is more, $9\,\text{grams}$ or $9,001\,\text{milligrams}$ ? $\newline$ Choices: $\newline$ (A) $9\,\text{grams}$ $\newline$ (B) $9,001\,\text{milligrams}$ $\newline$ (C) neither; they are equal $\newline$

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Convert and compare metric units

Full solution

Q. Which is more,

9\,\text{grams}

or

9,001\,\text{milligrams}

?

\newline

Choices:

\newline

(A)

9\,\text{grams}

\newline

(B)

9,001\,\text{milligrams}

\newline

(C) neither; they are equal

\newline

Convert to milligrams: Convert grams to milligrams to compare the two quantities directly. $1$ gram $=$ $1,000$ milligrams, so: $\newline$ $9$ grams $\times$ $1,000$ milligrams/gram $=$ $9,000$ milligrams.
Compare quantities: Compare the two quantities: $9,000$ milligrams (from $9$ grams) and $9,001$ milligrams.
Determine greater value: Determine which is greater: $\newline$ Since $9,001$ milligrams is $1$ milligram more than $9,000$ milligrams, $9,001$ milligrams is greater.

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