Answer:
The length of the insect appear 9.5 centimeters.
Step-by-step explanation:
Consider the provided information.
A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece.
It is given that the length of tiny insect is 0.095 cm
Now to find the length of the insect through microscope, simply multiply the number 0.095 with 100.
0.095×100
Shift the decimal point to the right as many places as the factor contains zeros.
Here the factor contains 2 zero so move decimal point 2 place right.
0.095×100=9.5
Thus, the length of the insect appear 9.5 centimeters.
The length of the insect in the final image is [tex]\boxed{9.5\text{ centimeter}}[/tex].
Further explanation:
In the question it is given that if an object is viewed under a microscope then the object appears [tex]100[/tex] times large than its original size.
It is given that the length of a insect is [tex]0.095[/tex] centimeter.
This question is based on the concept of multiplication of decimals.
Consider the length of the insect as [tex]x\text{ cm}[/tex].
Since, the length of insect is [tex]0.095[/tex] centimeter so, trhe value of [tex]x[/tex] is [tex]0.095[/tex].
As per the question the size of the final image is [tex]100[/tex] times large as the original size so, the size of final image is calculated as follows:
[tex]\boxed{S=x\times 100}[/tex]
Substitute [tex]0.095[/tex] for [tex]x[/tex] in the above equation.
[tex]\boxed{\begin{aligned}S&=x\times 100\\&=0.095\times 100\\&=9.5\end{aligned}}[/tex]
From the above calculation it is concluded that the length of the insect in the final image is [tex]9.5\text{ centimeter}[/tex].
Therefore, the length of the insect in the final image is [tex]\boxed{9.5\text{ centimeter}}[/tex].
Learn more:
1. Learn more about numbers https://brainly.com/question/4736384
2. Learn more about scientific notation of numbers https://brainly.com/question/4736384
Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Simplification
Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.
