Respuesta :
The expanded form of the lengths of chalk at the beginning and at the end of a lesson is [tex]\boxed {\bf 4.875= 4+\dfrac{8}{10}+\dfrac{7}{100}+\dfrac{5}{1000}}[/tex] and [tex]\boxed {\bf 3.125= 3+\dfrac{1}{10}+\dfrac{2}{100}+\dfrac{5}{1000}}[/tex] respectively.
Further explanation:
The length of the chalk at the beginning of a lesson is [tex]\bf 4.875\text{ inches}[/tex] and the length of the chalk at the end of the lesson is [tex]\bf 3.125 \text{ inches}[/tex].
The numbers with decimal places can be written in the expanded form by the use of the fractions.
The first decimal place corresponds to tenth place, second decimal place corresponds to the hundredth place and third decimal place corresponds to the thousandth place.
Therefore, the first decimal place number can be written as a fraction value with denominator of [tex]10[/tex], second decimal place number can be written as a fraction value with denominator of [tex]100[/tex] and so on.
The length of chalk at the beginning of a lesson can be expanded as sum of decimal values as,
[tex]4.875=4+0.8+0.07+0.005[/tex]
Now, by the use of concept, the above decimal values can be written in fraction form as,
[tex]\boxed { \begin{aligned} 4.875=4+0.8+0.07+0.005\\=4+\dfrac{8}{10}+\dfrac{7}{100}+\dfrac{5}{1000}\\\end{aligned}}[/tex]
Similarly, the length of chalk at the end of a lesson can be expanded as sum of decimal values as,
[tex]3.125=3+0.1+0.02+0.005[/tex]
Now, by the use of concept, the above decimal values can be written in fraction form as,
[tex]\boxed { \begin{aligned} 3.125=3+0.1+0.02+0.005\\=3+\dfrac{1}{10}+\dfrac{2}{100}+\dfrac{5}{1000}\\\end{aligned}}[/tex]
Thus, the expanded form of the lengths of chalk at the beginning and at the end of a lesson is [tex]\boxed {\bf 4.875= 4+\dfrac{8}{10}+\dfrac{7}{100}+\dfrac{5}{1000}}[/tex] and [tex]\boxed {\bf 3.125= 3+\dfrac{1}{10}+\dfrac{2}{100}+\dfrac{5}{1000}}[/tex] respectively.
Learn more:
1. Composite functions https://brainly.com/question/2142762
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3. Fractional expression simplification https://brainly.com/question/894273
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Fractions
Keywords: chalk, lesson, piece, inches, 4.875 inches, 3.125 inches, two amounts, expanded form, beginning, end of lesson, end, beginning of lesson, piece of chalk.
