Respuesta :

8,915.632 in expanded form is:

8,000 + 900 + 10 + 5 + 0.6 + 0.03 + 0.002

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The expanded form of 8,915.632 is [tex]8,000+900+10+5+\frac{6}{10}+\frac{3}{100}+\frac{2}{1000}[/tex]

Solution:

Given that , we have to find what is 8,915.632 in expanded form

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits.

When numbers are separated into individual place values and decimal places they can also form a mathematical expression.

Now, take the number 8,915.632

[tex]\begin{array}{l}{\rightarrow 8,915.63+0.002} \\\\ {\rightarrow 8,915.6+0.03+\frac{2}{1000}}\end{array}[/tex]

[tex]\begin{array}{l}{\rightarrow 8,915+0.6+\frac{3}{100}+\frac{2}{1000}} \\\\ {\rightarrow 8,910+5+\frac{6}{10}+\frac{3}{100}+\frac{2}{1000}}\end{array}[/tex]

[tex]\begin{array}{l}{\rightarrow 8,900+10+5+\frac{6}{10}+\frac{3}{100}+\frac{2}{1000}} \\\\ {\rightarrow 8,000+900+10+5+\frac{6}{10}+\frac{3}{100}+\frac{2}{1000}}\end{array}[/tex]

Hence the expanded form is: [tex]8,000+900+10+5+\frac{6}{10}+\frac{3}{100}+\frac{2}{1000}[/tex]