Answer:
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24.357 in expanded form.
In fraction form
[tex](2\times10)+(4\times1)+(3\times\frac{1}{10} )+(5\times\frac{1}{100} )+(7\times\frac{1}{1000} )[/tex]
= [tex]20+4+0.3+0.05+0.007[/tex]
= 24.357
In decimal form:
[tex](2\times10)+(4\times1)+(3\times0.1)+(5\times0.01)+(7\times0.001)[/tex]
= [tex]20+4+0.3+0.05+0.007[/tex]
= 24.357
A number can be expanded from its original form.
The expanded forms of [tex]24.357[/tex] are:
[tex]20 + 4 + \frac 3{10} + \frac 5{100} + \frac{7}{1000}[/tex] ---- in fraction
[tex]20 + 4 + 0.3 + 0.05 + 0.007[/tex] --- in decimal
Given
[tex]24.357[/tex]
Expand the number using the addition operator
[tex]24.357 = 24 + 0.357[/tex]
Express 24 as tens and unit (i.e. 20 + 4)
[tex]24.357 = 20 + 4 + 0.357[/tex]
Express the decimal part with their place values
[tex]24.357 = 20 + 4 + 0.3 + 0.05 + 0.007[/tex]
Convert each decimal to fraction
[tex]24.357 = 20 + 4 + \frac 3{10} + \frac 5{100} + \frac{7}{1000}[/tex]
Hence, the expanded number is:
[tex]24.357 = 20 + 4 + \frac 3{10} + \frac 5{100} + \frac{7}{1000}[/tex] ---- in fraction
[tex]24.357 = 20 + 4 + 0.3 + 0.05 + 0.007[/tex] --- in decimal
Read more about expansions at:
https://brainly.com/question/12143808
