Question

15-kilogram ham costs $9/kg. Find the cost per pound. Round to the nearest hundredth

Answer 1

Answer:

$4.08/lb

Step-by-step explanation:

$9/kg × (0.45359237 kg/lb) = $4.08/lb

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Comment on conversion factors

The conversion factor is chosen to have a value of 1, that is 0.45359237 kg = 1 lb (by definition). It is also chosen so that when we multiply by it, we cancel the units of kg and leave units of lb.

Answer 2

The thousandth’s place of $\ {\text{4}}{\text{.08233133}}/{\text{lb}}$ is 2 and the nearest hundredth is $\boxed{{\mathbf{\ 4}}{\mathbf{.08/lb}}}$.

Further explanation:  

The problem can be solved by the unit conversion and by the concept of nearest thousand.

Given:

The cost of $15{\text{ - kilogram ham}}$ is $\ 9/{\text{kg}}$.

Step by step explanation:

Step 1:

First we determine that the number of pounds in one kilogram.

The unit of pound can be written as ${\text{lb}}$ and the unit of kilogram can be written as ${\text{kg}}$.

The relation between number of pound and the kilograms is $1{\text{ lb}} = 0.45359237$.

Step 2:

It is given that the cost of $15{\text{ - kilogram ham}}$ is $\ 9/{\text{kg}}$.

Now multiply $0.45359237$ with $\ 9/kg$ to obtain the cost per pound as,

$\begin{aligned}\ 9/kg &= \left( {0.45359237 \times 9} \right)\ /{\text{lb}}\\&= \ {\text{4}}{\text{.08233133}}/{\text{lb}}\\\end{aligned}$  

Therefore, the cost per pound is $\ {\text{4}}{\text{.08233133}}/{\text{lb}}$.

Step 3:

Now determine the cost $\ {\text{4}}{\text{.08233133}}/{\text{lb}}$ to the nearest hundredth.

To round the number to nearest hundredth the following criteria has to be followed.

Round down the number if the thousandth’s place of the given number is $0,1,2,3{\text{ or 4}}$.

Round up the number if the thousandth’s place of the given number is $0,1,2,3{\text{ or 4}}$.

It can be better explained through an example.

Consider an example $2487.3493{\text{ and 8754}}{\text{.9213}}$.

In the number $2487.3493$, the thousandth’s place is 9 that we need to round up.

The rounded hundredth number of $2487.3493$ is $2487.35$.

In the number ${\text{8754}}{\text{.9213}}$, the thousandth’s place is 1 that we need to round down.

The rounded hundredth number of ${\text{8754}}{\text{.9213}}$ is ${\text{8754}}{\text{.920}}$.

Similarly in this way the nearest hundredth of $\ {\text{4}}{\text{.08233133}}/{\text{lb}}$ can be found.

As we can the thousandth’s place of $\ {\text{4}}{\text{.08233133}}/{\text{lb}}$ is 2 therefore, the nearest hundredth is $\ {\text{4}}{\text{.08}}/{\text{lb}}$  

Learn more:  

1. Learn more about the distance between the points brainly.com/question/6278187
2. Learn more about the equivalent fractionhttps://brainly.com/question/952259
3. Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Round off the numbers

Keywords: 15-kilogram ham, cost, pound, nearest hundredths, thousandths, multiply, place, round up, round down, unit, conversion, cost.