QuestionIs it better to express a bull's weight as 1,700 pounds or $2.72 \times 10^{4}$ ounces? Justify your choice.

Studdy Solution

STEP 1

Assumptions1. The weight of the bull is1,700 pounds. . We need to compare the appropriateness of expressing the bull's weight in pounds or ounces. 3.1 pound is equal to16 ounces.

STEP 2

First, let's express the bull's weight in ounces. We can do this by multiplying the weight in pounds by the conversion factor from pounds to ounces.
$Weight\, in\, ounces = Weight\, in\, pounds \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the weight in pounds and the conversion factor to calculate the weight in ounces.
$Weight\, in\, ounces =1,700\, pounds \\times16\, ounces/pound$

STEP 4

Calculate the weight in ounces.
$Weight\, in\, ounces =1,700\, pounds \\times16\, ounces/pound =27,200\, ounces$

STEP 5

Now, let's express the weight in ounces in scientific notation. The format for scientific notation is $a \\times10^{b}$ , where $1 \leq a <10$ and $b$ is an integer.
$Weight\, in\, ounces =2.72 \\times10^{4}\, ounces$

STEP 6

Now that we have the bull's weight in both pounds and ounces (in scientific notation), we can compare the two expressions.
The weight in pounds is1,700 pounds, and the weight in ounces is $2.72 \\times10^{4}$ ounces.

STEP 7

In terms of appropriateness, it is more common and simpler to express the weight of large animals in pounds rather than ounces, especially in scientific notation. The number1,700 is also easier to understand at a glance than $2.72 \\times10^{4}$ .
Therefore, it is more appropriate to express the bull's weight as1,700 pounds.

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