Question

yi ting height is 1.49m. express this measurement in millimeters. explain your thinking. include an equation with an exponent in your explanation

Answer 1

Answer:

1490 mm

Step-by-step explanation:

It is given that Yi ting height is 1.49 m.

We need to express the measurement in millimeters. In order to do that we first need to find a relation between meters and millimeters.

As, $1\:\text{meter}=1000\:\text{millimeters}$

We can also express this relation in an exponent form as $1\:\text{m}=10^3\:\text{mm}$

So, $1.49\:\text{m}=1.49\times 10^3\:\text{mm}$

$1.49\:\text{m}=\frac{149}{10^2}\times 10^3\:\text{mm}$

$1.49\:\text{m}=149\times 10^{3-2} \:\text{mm}$

$1.49\:\text{m}=149\times 10 \:\text{mm}$

$1.49\:\text{m}=1490 \:\text{mm}$

Hence, 1.49 m is 1490 mm.

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, centimeters), volume (in liters, milli liters), and mass (in grams, kilograms). The scales of measurement of the system is increase or decrease as multiples of tenthat 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 millimeters that is mm. then first we have to find the relation between meter and millimeter.

As we know that,

1m is equal to 100cm that is 100 centimeters, 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 thequantity in meters expressed in centimetershttps://brainly.com/question/2867118

2. Learn more about the 3 digits in the units periodhttps://brainly.com/question/558692

3. Learn more aboutthe 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, millimeters, height, measurement, conversion meter to millimeters, mensuration, relation between meter and millimeters.