Mathematics, 28.01.2020 18:54 supiine1405

At the beginning of a lesson a piece of chalk is 4.875 inches long at the end of the lesson the chalk is 3.125 inches long write the two amounts and expanded form using fractions

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The expanded form of the lengths of chalk at the beginning and at the end of a lesson is $\boxed {\bf 4.875= 4+\dfrac{8}{10}+\dfrac{7}{100}+\dfrac{5}{1000}}$ and $\boxed {\bf 3.125= 3+\dfrac{1}{10}+\dfrac{2}{100}+\dfrac{5}{1000}}$ respectively.

Further explanation:

The length of the chalk at the beginning of a lesson is $\bf 4.875\text{ inches}$ and the length of the chalk at the end of the lesson is $\bf 3.125 \text{ inches}$ .

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 , second decimal place number can be written as a fraction value with denominator of 100 and so on.

The length of chalk at the beginning of a lesson can be expanded as sum of decimal values as,

4.875=4+0.8+0.07+0.005

Now, by the use of concept, the above decimal values can be written in fraction form as,

$\boxed { \begin{aligned} 4.875=4+0.8+0.07+0.005\\=4+\dfrac{8}{10}+\dfrac{7}{100}+\dfrac{5}{1000}\\\end{aligned}}$

Similarly, the length of chalk at the end of a lesson can be expanded as sum of decimal values as,

3.125=3+0.1+0.02+0.005

Now, by the use of concept, the above decimal values can be written in fraction form as,

$\boxed { \begin{aligned} 3.125=3+0.1+0.02+0.005\\=3+\dfrac{1}{10}+\dfrac{2}{100}+\dfrac{5}{1000}\\\end{aligned}}$

Thus, the expanded form of the lengths of chalk at the beginning and at the end of a lesson is $\boxed {\bf 4.875= 4+\dfrac{8}{10}+\dfrac{7}{100}+\dfrac{5}{1000}}$ and $\boxed {\bf 3.125= 3+\dfrac{1}{10}+\dfrac{2}{100}+\dfrac{5}{1000}}$ respectively.

Learn more:

1. Composite functions

2. To solve one variable linear equation

3. Fractional expression simplification

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.

Answer from: Quest

step-by-step explanation:

one day the were 5 ducks, and their king told them to multiply their kingdom. so each went their own seperate way and met 4 other ducks on their journey.

when the ducks returned to their kingdom, it was discovered that there were 5 groups of 5 ducks. when the kind counted the number of ducks in total (including the ones he sent out earlier) he counted 25.

therefore 5 times 5 is 25.

the end. : )

Answer from: Quest

question: match the eqaution with its graph -8x - 5y = 40

answer: 8 x 5 = 40

x= absiss

y= orderly

so you have a proportional graph

question answered by

(jacemorris04)

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At the beginning of a lesson a piece of chalk is 4.875 inches long at the end of the lesson the chal...