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Place value is used to find the difference of 4.23 and 2.75 by allowing you to line up the ones place with the ones place, the tenths place with the tenths place, and the hundredths place with the hundredths place; afterwards, you subtract. 

Answer:

1.48

Step-by-step explanation:

We are given that 4.23 and 2.75

We have to explain how the place value be used to find the difference of 4.23 and 2.75

We subtract one's place from one's place ,tenth place from tenth place and hundredth place from hundredth place.

The place value of 4 in 4.23  =unit

The place  of 2 in 4.23 =Tenth

The place  of 3 in 4.23 =Hundredth

The place of 2 in 2.75=one's

The place  of 7 in 2.75=Tenth

The place  of 5 in 2.75=hundredth

Difference of 4.23 and 2.75=4.23-2.75

Difference of 4.23 and 2.75=1.48

3 is at hundredth place in 4.23 but less than 5 then it takes carry one from 2 and then subtract hundredth place 5 in 2.75 from this .

Then , we get [tex]\frac{13}{100}-\frac{5}{100}=\frac{8}{100}[/tex]

Now, 2 in 4.23 is at tenth place and 7 in 2.75 is at tenth place and 2 is less than 7 and after giving carry it becomes one and takes carry and then subtract tenth place of 2.75  from 4.23

[tex]\frac{11}{10}-\frac{7}{10}=\frac{4}{10}[/tex]

After giving carry the unit place 4 in 4.23 becomes 3

Then,  subtract unit place of 2.75 from unit place of 4.23

3-2=1

Difference of 4.23 and 2.75

[tex]1+\frac{4}{10}+\frac{8}{100}=1.48[/tex]

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