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2.1143 × 10 is
  • a)
    0.21143
  • b)
    21.143
  • c)
    2114.3
  • d)
    2.11430
Correct answer is option 'B'. Can you explain this answer?
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2.1143 × 10 isa)0.21143b)21.143c)2114.3d)2.11430Correct answer i...
Understanding Scientific Notation
Scientific notation is a way to express large or small numbers conveniently. It is written in the form "a × 10^n," where "a" is a number between 1 and 10, and "n" is an integer.
Breaking Down the Problem
In this case, we have:
- Number: 2.1143
- Multiplier: 10 (which is equivalent to 10^1)
To find the value of 2.1143 × 10, we simply move the decimal point in 2.1143 one place to the right because multiplying by 10 increases the value by a factor of ten.
Calculating the Result
1. Start with 2.1143.
2. Move the decimal point one place to the right:
- 2.1143 becomes 21.143.
Thus, 2.1143 × 10 = 21.143.
Evaluating the Options
Now let's look at the options provided:
- a) 0.21143 - This is too small.
- b) 21.143 - This is the correct result.
- c) 2114.3 - This is too large.
- d) 2.11430 - This is not the result of the multiplication.
The correct answer is option b) 21.143.
Conclusion
Understanding how to manipulate numbers in scientific notation helps simplify calculations. Always remember that multiplying by 10 shifts the decimal point to the right, and this principle is key in these types of problems.
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2.1143 × 10 isa)0.21143b)21.143c)2114.3d)2.11430Correct answer i...
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