Respuesta :
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.
The thousandth’s place of [tex]\$ {\text{4}}{\text{.08233133}}/{\text{lb}}[/tex] is 2 and the nearest hundredth is [tex]\boxed{{\mathbf{\$ 4}}{\mathbf{.08/lb}}}[/tex].
Further explanation:
The problem can be solved by the unit conversion and by the concept of nearest thousand.
Given:
The cost of [tex]15{\text{ - kilogram ham}}[/tex] is [tex]\$ 9/{\text{kg}}[/tex].
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 [tex]{\text{lb}}[/tex] and the unit of kilogram can be written as [tex]{\text{kg}}[/tex].
The relation between number of pound and the kilograms is [tex]1{\text{ lb}} = 0.45359237[/tex].
Step 2:
It is given that the cost of [tex]15{\text{ - kilogram ham}}[/tex] is [tex]\$ 9/{\text{kg}}[/tex].
Now multiply [tex]0.45359237[/tex] with [tex]\$ 9/kg[/tex] to obtain the cost per pound as,
[tex]\begin{aligned}\$ 9/kg &= \left( {0.45359237 \times 9} \right)\$ /{\text{lb}}\\&= \$ {\text{4}}{\text{.08233133}}/{\text{lb}}\\\end{aligned}[/tex]
Therefore, the cost per pound is [tex]\$ {\text{4}}{\text{.08233133}}/{\text{lb}}[/tex].
Step 3:
Now determine the cost [tex]\$ {\text{4}}{\text{.08233133}}/{\text{lb}}[/tex] 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 [tex]0,1,2,3{\text{ or 4}}[/tex].
Round up the number if the thousandth’s place of the given number is [tex]0,1,2,3{\text{ or 4}}[/tex].
It can be better explained through an example.
Consider an example [tex]2487.3493{\text{ and 8754}}{\text{.9213}}[/tex].
In the number [tex]2487.3493[/tex], the thousandth’s place is 9 that we need to round up.
The rounded hundredth number of [tex]2487.3493[/tex] is [tex]2487.35[/tex].
In the number [tex]{\text{8754}}{\text{.9213}}[/tex], the thousandth’s place is 1 that we need to round down.
The rounded hundredth number of [tex]{\text{8754}}{\text{.9213}}[/tex] is [tex]{\text{8754}}{\text{.920}}[/tex].
Similarly in this way the nearest hundredth of [tex]\$ {\text{4}}{\text{.08233133}}/{\text{lb}}[/tex] can be found.
As we can the thousandth’s place of [tex]\$ {\text{4}}{\text{.08233133}}/{\text{lb}}[/tex] is 2 therefore, the nearest hundredth is [tex]\$ {\text{4}}{\text{.08}}/{\text{lb}}[/tex]
Learn more:
- Learn more about the distance between the points https://brainly.com/question/6278187
- Learn more about the equivalent fractionhttps://brainly.com/question/952259
- Learn more about midpoint of the segment https://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.
