To represent 9.3234 which of the following method would be used.a)By c...
Method of Successive Magnification to represent 9.3234
To represent the number 9.3234 using the method of successive magnification, we follow the following steps:
Step 1: Initial Construction
- Start by drawing a line segment of length 1 unit.
- Divide this line segment into 10 equal parts.
- Mark the point of division as 0.1, 0.2, 0.3, ..., 0.9, 1.0.
Step 2: Magnification
- Select the first division point, 0.3, and magnify it by 10 times.
- This will be represented as 3.0 on the number line.
Step 3: Further Magnification
- Divide the line segment between 3.0 and 3.1 into 10 equal parts.
- Mark the points of division as 0.01, 0.02, ..., 0.09, 0.1.
- Select the third division point, 0.02, and magnify it by 10 times.
- This will be represented as 0.2 on the number line.
Step 4: Final Magnification
- Divide the line segment between 0.2 and 0.3 into 10 equal parts.
- Mark the points of division as 0.001, 0.002, ..., 0.009, 0.01.
- Select the third division point, 0.002, and magnify it by 10 times.
- This will be represented as 0.02 on the number line.
Step 5: Combining the Magnifications
- Combine the magnifications obtained in steps 2, 3, and 4 to get the final representation.
- The final representation of 9.3234 using the method of successive magnification is 9.3234.
Explanation
The method of successive magnification is a technique used to represent decimal numbers on a number line. It involves magnifying different parts of the number line to accurately represent each digit of the decimal number.
In this case, we start by constructing a number line with divisions representing units, tenths, hundredths, and thousandths. Then, we magnify each digit of the decimal number by 10 times to accurately represent it on the number line. This process is repeated for each digit of the decimal number.
By following this method, we can accurately represent the decimal number 9.3234 on a number line. The successive magnifications help in accurately placing each digit of the decimal number on the number line, allowing for an accurate representation of the entire number.
Conclusion
The method of successive magnification is an effective way to represent decimal numbers on a number line. It allows for precise placement of each digit, ensuring an accurate representation of the decimal number. In this case, the number 9.3234 is represented using this method by magnifying each digit successively and placing them on the number line.
To represent 9.3234 which of the following method would be used.a)By c...
Option B because we can represent it on a number line by successive magnification by zooming the decimal digits after each other
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