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Answer :
Sure! Let's convert the number 145,000 to scientific notation step-by-step.
Step 1: Identify the Base Number
We need to express 145,000 as a product of a number between 1 and 10 and a power of 10. To do this, we move the decimal point to get a number between 1 and 10.
The number [tex]\(145,000\)[/tex] can be written as [tex]\(1.45\)[/tex] with the decimal point moved 5 places to the left.
Step 2: Determine the Power of 10
Since we moved the decimal point 5 places to the left, we raise 10 to the power of 5.
Step 3: Write the Number in Scientific Notation
Combining these results, 145,000 can be written in scientific notation as:
[tex]\[ 1.45 \times 10^5 \][/tex]
So the correct answer is:
[tex]\[ B. \, 1.45 \times 10^5 \][/tex]
This concludes the conversion of 145,000 to scientific notation.
Step 1: Identify the Base Number
We need to express 145,000 as a product of a number between 1 and 10 and a power of 10. To do this, we move the decimal point to get a number between 1 and 10.
The number [tex]\(145,000\)[/tex] can be written as [tex]\(1.45\)[/tex] with the decimal point moved 5 places to the left.
Step 2: Determine the Power of 10
Since we moved the decimal point 5 places to the left, we raise 10 to the power of 5.
Step 3: Write the Number in Scientific Notation
Combining these results, 145,000 can be written in scientific notation as:
[tex]\[ 1.45 \times 10^5 \][/tex]
So the correct answer is:
[tex]\[ B. \, 1.45 \times 10^5 \][/tex]
This concludes the conversion of 145,000 to scientific notation.
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