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3 years ago

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

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

5 0

Answer:

$4.08/lb

Step-by-step explanation:

$9/kg × (0.45359237 kg/lb) = $4.08/lb

_____

<em>Comment on conversion factors</em>

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.

mina [271]3 years ago

4 0

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 $\$ {\text{4}}{\text{.08}}/{\text{lb}}$