Respuesta :
If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).
As per the question statement, a box turtle Marcos found is 0.115m long.
We are required to find out the expanded form of the length.
To solve this question, we need to know the procedure to convert a decimal into a fraction:
First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as [tex]\frac{115}{1000}[/tex], since there are three digits after decimal point.
Now [tex]\frac{115}{1000}[/tex] can be written in the following manner as shown below.
[tex]\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005[/tex]
Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.
- Expanded Form (of a number or decimal): This is a format of writing a number as a summation of its individual digits multiplied by their place values.
To Learn more about Expanded Form, click on the link below.
https://brainly.com/question/17837892
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