Find four rational numbers between 1/4 and 2/3 Represent √3 on number line Show that 3.142 is a rational number About the author Adalyn
[tex]\huge\blue{\mid{\fbox{\tt{\:QUESTION}}\mid}}[/tex] Find four rational numbers between 1/4 and 2/3 [tex]\huge\underline\pink{answer} \: – [/tex] 1/4 and 2/3 – 1/4 × 3/3 , 2/3 × 4/4 – 3/12 , 8/12 – rational number between 1/4 and 2/3 are – 4/12 , 5/12 , 6/12 , 7/12 , [tex]\huge\blue{\mid{\fbox{\tt{\:QUESTION}}\mid}}[/tex] Steps to Locate √3 on number line. [tex]\huge\underline\pink{answer} \: – [/tex] Draw line AD of length 1 cm Draw line BD of length 1 cm, perpendicular to AD Join AB to get a line of length √2. AB will be of length √2, as per Pythagoras theorem on Right Triangle ABD, right angled at D Once we have length √2 defined (AB), we have to draw line BC of length 1 cm, perpendicular to AB. This is done to plot √3 Now join AC to get a line of length √3. AC will be of length √3, as per Pythagoras theorem on Right Triangle ABC, right angled at B Once we have length √3 defined (AC), we can plot it on number line using a compass. Adjust the compass, to keep the Metal point or Needle on point A & Pencil point to Point C. compass, you can now rotate the compass to plot the point on the number line. [tex]\huge\blue{\mid{\fbox{\tt{\:QUESTION}}\mid}}[/tex] Show that 3.142 is a rational number [tex]\huge\underline\pink{answer} \: – [/tex] yes 3.142 is the rational number hence 3.142 = 3142/1000 its is in the from of p/q where p – 3142 and q – 1000 so therefore 3.142 is the rational number . Reply
[tex]\huge\blue{\mid{\fbox{\tt{\:QUESTION}}\mid}}[/tex]
Find four rational numbers between 1/4 and 2/3
[tex]\huge\underline\pink{answer} \: – [/tex]
1/4 and 2/3
– 1/4 × 3/3 , 2/3 × 4/4
– 3/12 , 8/12
– rational number between 1/4 and 2/3 are
– 4/12 , 5/12 , 6/12 , 7/12 ,
[tex]\huge\blue{\mid{\fbox{\tt{\:QUESTION}}\mid}}[/tex]
Steps to Locate √3 on number line.
[tex]\huge\underline\pink{answer} \: – [/tex]
Draw line AD of length 1 cm
Draw line BD of length 1 cm, perpendicular to AD
Join AB to get a line of length √2. AB will be of length √2, as per Pythagoras theorem on Right Triangle ABD, right angled at D
Once we have length √2 defined (AB), we have to draw line BC of length 1 cm, perpendicular to AB. This is done to plot √3
Now join AC to get a line of length √3. AC will be of length √3, as per Pythagoras theorem on Right Triangle ABC, right angled at B
Once we have length √3 defined (AC), we can plot it on number line using a compass.
Adjust the compass, to keep the Metal point or Needle on point A & Pencil point to Point C.
compass, you can now rotate the compass to plot the point on the number line.
[tex]\huge\blue{\mid{\fbox{\tt{\:QUESTION}}\mid}}[/tex]
Show that 3.142 is a rational number
[tex]\huge\underline\pink{answer} \: – [/tex]
yes 3.142 is the rational number
hence 3.142 = 3142/1000
its is in the from of p/q
where p – 3142 and q – 1000
so therefore 3.142 is the rational number .
Answer:
1.5
The rational number between √2 and √3 is 1.5.