Yi Ting's height is 1.49 m. Express this measurement in millimeters. Explain your thinking.Include equation with an exponent in your explanation.
![Yi Tings height is 149 m Express this measurement in millimeters Explain your thinkingInclude equation with an exponent in your explanation class=](https://us-static.z-dn.net/files/dfa/771f7169b92b4a7b36000ebf8d56c86b.jpg)
The height of Yi ting is [tex]\fbox{\bf1490\,{\text{mm}}}[/tex].
Further explanation:
The metric system of a measurement of the system is the standard that is used by most of the system. These systems is based upon measures of distance (in meters, centimetres), volume (in litres, millilitres), and mass (in grams, kilograms). The scales of measurement of the system is increase or decrease as multiples of ten that is used to facilitates expression of measurement values by the use of decimal system.
As it is known that the height of Yi ting is 1.49m.
And we have to convert the height of Yi ting in millimetres that is mm. then first we have to find the relation between meter and millimetre.
As we know that,
1m is equal to 100cm that is 100 centimetres, it is written as,
[tex]1{\text{m}}=100{\text{cm}}[/tex] ……(1)
And it is known that 1cm is equal to 10mm, it is written as,
[tex]1{\text{cm}}=10{\text{mm}}[/tex] ……(2)
From equation (1) and (2) it can be obtained as,
[tex]1{\text{m}}=1000{\text{mm}}[/tex]
So we have given the height of Yi ting is 1.49m. then it is expressed in mm as,
[tex]\begin{aligned}1.49{\text{m}}&=\frac{{149}}{{{{10}^2}}}\times{10^3}{\text{mm}}\\&{\text{=149}}\times{\text{1}}{{\text{0}}^{3-2}}{\text{mm}}\\&{\text{=149}}\times{\text{1}{{\text{0}}^1}{\text{mm}}\\&=1490{\text{mm}}\\\end{aligned}[/tex]
Thus, the height of Yi ting is [tex]\fbox{\bf1490\,{\text{mm}}}[/tex].
Learn more:
1. Learn more about the quantity in meters expressed in centimeters https://brainly.com/question/2867118
2. Learn more about the 3 digits in the units periodhttps://brainly.com/question/558692
3. Learn more about the definition of an angle uses the undefined term https://brainly.com/question/3413207
Answer detail:
Grade:Middle school.
Subject: Mathematics
Chapter: Mensuration.
Keywords: Yi, ting, m, mm, meters, millimetres, height, measurement, conversion meter to millimetres, mensuration, relation between meter and millimetres.