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Answer :
To find the expression equivalent to 0.0000981, let's convert the number to scientific notation. Scientific notation has the form [tex]\( a \times 10^b \)[/tex], where [tex]\( 1 \leq a < 10 \)[/tex].
1. Identify the Significant Figures:
- The significant figures in 0.0000981 are 981.
2. Write in Scientific Notation:
- Move the decimal point in 0.0000981 four places to the right to get 9.81. Since we moved the decimal to the right four times, this implies a power of -5.
- This gives us the expression [tex]\( 9.81 \times 10^{-5} \)[/tex].
3. Match with the Given Options:
- Look at the options provided:
- [tex]\( 9.81 \times 10^{-5} \)[/tex]
- [tex]\( 9.81 \times 10^5 \)[/tex]
- [tex]\( 9.81 \times 10^{-6} \)[/tex]
- [tex]\( 98.1 \times 10^{-5} \)[/tex]
4. Select the Correct Option:
- The equivalent expression for 0.0000981 is [tex]\( 9.81 \times 10^{-5} \)[/tex].
Therefore, the expression that is equivalent to 0.0000981 is [tex]\( 9.81 \times 10^{-5} \)[/tex].
1. Identify the Significant Figures:
- The significant figures in 0.0000981 are 981.
2. Write in Scientific Notation:
- Move the decimal point in 0.0000981 four places to the right to get 9.81. Since we moved the decimal to the right four times, this implies a power of -5.
- This gives us the expression [tex]\( 9.81 \times 10^{-5} \)[/tex].
3. Match with the Given Options:
- Look at the options provided:
- [tex]\( 9.81 \times 10^{-5} \)[/tex]
- [tex]\( 9.81 \times 10^5 \)[/tex]
- [tex]\( 9.81 \times 10^{-6} \)[/tex]
- [tex]\( 98.1 \times 10^{-5} \)[/tex]
4. Select the Correct Option:
- The equivalent expression for 0.0000981 is [tex]\( 9.81 \times 10^{-5} \)[/tex].
Therefore, the expression that is equivalent to 0.0000981 is [tex]\( 9.81 \times 10^{-5} \)[/tex].
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