Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Sure! Let's convert the given number [tex]\( 0.065 \times 10^8 \)[/tex] into proper scientific notation step-by-step.
1. Understand the format of scientific notation:
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is generally written as:
[tex]\[ a \times 10^b \][/tex]
where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( b \)[/tex] is an integer.
2. Identify the number and its base:
The given number is [tex]\( 0.065 \times 10^8 \)[/tex].
3. Adjust the decimal place:
We need to convert [tex]\( 0.065 \)[/tex] into a number between 1 and 10. To do this, we move the decimal point one place to the right:
[tex]\[ 0.065 \rightarrow 6.5 \][/tex]
4. Adjust the exponent:
Since we moved the decimal one place to the right to convert [tex]\( 0.065 \)[/tex] to [tex]\( 6.5 \)[/tex], we counterbalance this by decreasing the exponent by the same amount (from [tex]\( 8 \)[/tex] to [tex]\( 7 \)[/tex]).
5. Combine the coefficient and the adjusted exponent:
Thus, the number in proper scientific notation is:
[tex]\[ 6.5 \times 10^6 \][/tex]
So, the coefficient [tex]\( a \)[/tex] is [tex]\( 6.5 \)[/tex] (this goes into the green box) and the exponent [tex]\( b \)[/tex] is [tex]\( 6 \)[/tex] (this goes into the yellow box).
1. Understand the format of scientific notation:
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is generally written as:
[tex]\[ a \times 10^b \][/tex]
where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( b \)[/tex] is an integer.
2. Identify the number and its base:
The given number is [tex]\( 0.065 \times 10^8 \)[/tex].
3. Adjust the decimal place:
We need to convert [tex]\( 0.065 \)[/tex] into a number between 1 and 10. To do this, we move the decimal point one place to the right:
[tex]\[ 0.065 \rightarrow 6.5 \][/tex]
4. Adjust the exponent:
Since we moved the decimal one place to the right to convert [tex]\( 0.065 \)[/tex] to [tex]\( 6.5 \)[/tex], we counterbalance this by decreasing the exponent by the same amount (from [tex]\( 8 \)[/tex] to [tex]\( 7 \)[/tex]).
5. Combine the coefficient and the adjusted exponent:
Thus, the number in proper scientific notation is:
[tex]\[ 6.5 \times 10^6 \][/tex]
So, the coefficient [tex]\( a \)[/tex] is [tex]\( 6.5 \)[/tex] (this goes into the green box) and the exponent [tex]\( b \)[/tex] is [tex]\( 6 \)[/tex] (this goes into the yellow box).
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.