Question

13. a) Visualise 3.894 on the number line, using successive magnification.​

Answer 1

Answer:

Visualize 3.765 on the number line, using successive magnification

Solution:

i) 3.7 lies between 3 & 4. So, we divide the portion between 3 & 4 on the number line into 10 equal parts

Visualize 3.765 on the number line, using successive magnification

ii) 3.76 lies between 3.7 and 3.8. So, we divide the portion between 3.7 and 3.8 on the number line into 10 equal parts.

Visualize 3.765 on the number line, using successive magnification

iii) 3.765 lies between 3.76 and 3.77. So in the final step, we divide the portion between 3.76 and 3.77 on the number line into 10 equal parts.

Step-by-step explanation:

Answer 2

Answer: Visualize $3.894$ on the number line, using successive magnification

Successive magnification:

Successive magnification is the visualisation and display of actual numbers on a number line using a magnifying glass.

Step-by-step explanation:

• $3.8$ lies between $3$ and $4$. So, we divide the portion between $3$ and $4$ on the number line into 10 equal parts
  
  Visualize $3.894$ on the number line, using successive magnification
  
• $3.8$ lies between $3.8$ and $3.9$. So, we divide the portion between $3.8$ and $3.9$ on the number line into $10$ equal parts.
  
  Visualize $3.894$ on the number line, using successive magnification
  
• $3.894$ lies between $3.89$ and $3.90$. So in the final step, we divide the portion between $3.89$ and $3.90$ on the number line into $10$ equal parts.
  

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