Respuesta :
The length of the rope that has been divided into 5 parts: 1.74 meters
Further explanation
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
[tex]\large{\boxed{\bold{\frac{a}{b} }}[/tex]
Decimal numbers can be changed into mixed or ordinary fractions
Mixed fractions consist of integers and ordinary fractions
Decimal numbers have numbers in the form of thousands. Hundreds, tens, thousandths, hundredths, tenths and ones
The results of the division of decimal numbers with numbers 10,100,1000, 10000 and so on can be determined by shifting the comma to the left according to the number of zeros
If you divide a decimal number, you try to make the divisor an integer
Decimal numbers divided equally will have the same parts
A rope with a length of 8.7 meters divided into 5 equal parts will have a length:
8.7: 5 = 1.74 meters
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Keywords: rope, decimal numbers, parts, fractions,

The length of each piece is [tex]\boxed{\bf 1.74\text{\bf meters}}[/tex].
Further explanation:
Given:
A rope that is [tex]8.7\text{ meters}[/tex] long and it is cut into [tex]5[/tex] equal pieces.
Calculation:
Division is one of the basic arithemetic operation. This is an operation which is used whenever we divide a quanity into equal number of parts and the result obtained after the division is the weightage of each part.
For example: There are two numbers then divide [tex]20[/tex] by [tex]5[/tex] as follows:
[tex]\boxed{\dfrac{20}{5}=4}[/tex]
Therefore, [tex]4[/tex] is the number obtained after division.
As it is given that the length of the rope is [tex]8.7\text{ m}[/tex] is cut into [tex]5[/tex] pieces and we need to find the length of each piece.
Here, [tex]8.7\text{ m}[/tex] is divided into five equal pieces that means a rope of length [tex]8.7\text{ meters}[/tex] is divided [tex]5[/tex] times.
In this problem we will the division method to obtain the length of each piece.
Then the length of each piece [tex](P)[/tex] is obtained as follows:
[tex]\begin{aligned}P&=\dfrac{8.7}{5}\\&=1.74\end{aligned}[/tex]
Therefore, the length of each piece is [tex]\boxed{\bf 1.74\text{\bf meters}}[/tex].
Learn more
1. Problem on the whole numbers are positive integers https://brainly.com/question/1852063.
2. Problem on the adding and simplifying the numbers https://brainly.com/question/894273.
3. Problem on the general form of the equation of the circle https://brainly.com/question/1506955.
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Multiplication and division
Keywords: Rope, piece, 5 times, 8.7 meters, 1.74 meters, cut, length, multiplication, division, addition, subtraction, real numbers, decimal numbers, arithmetic.