Question

Yi Ting's height is 1.49 m. Express this measurement in millimeters. Explain your thinking.Include equation with an exponent in your explanation.

Answer 1

1 meter = 100 centimeter
1 centimeter = 10 millimeters 

1.49 times 100 equals to 149 centimeter.
So 1.49 meter is the same as 149 centimeter.

149 times 10 equals to 1490 millimeters.
So 1490 millimeters is the same as 1.49 meters. 

1.49m = 1490mm
If we move the decimal point in 1.49 to the right three times (which is the same as multiplying 1.49 by 1000), this makes 1490. 
So, 1.49 times by 10^3 = 1490

10^3 means 10 times by itself three times. (10 times 10 times 10 which makes 1000)

The equation would be 1.49*10^3= 1490
(Note that * means multiply)

Answer 2

The height of Yi ting is $\fbox{\bf1490\,{\text{mm}}}$.

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,  

$1{\text{m}}=100{\text{cm}}$                                                      ……(1)    

And it is known that 1cm is equal to 10mm, it is written as,  

$1{\text{cm}}=10{\text{mm}}$                                                      ……(2)    

From equation (1) and (2) it can be obtained as,  

$1{\text{m}}=1000{\text{mm}}$  

So we have given the height of Yi ting is 1.49m. then it is expressed in mm as,  

$\begin{aligned}1.49{\text{m}}&=\frac{{149}}{{{{10}^2}}}\times{10^3}{\text{mm}}\\&{\text{=149}}\times{\text{1}}{{\text{0}}^{3-2}}{\text{mm}}\\&{\text{=149}}\times{\text{1}{{\text{0}}^1}{\text{mm}}\\&=1490{\text{mm}}\\\end{aligned}$

Thus, the height of Yi ting is $\fbox{\bf1490\,{\text{mm}}}$.

Learn more:  

1. Learn more about the quantity in meters expressed in centimeters 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 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.