QQuestionMathematics
QuestionMathematics
Write the scientific notation for 127.5.
Also, explain the process so I can learn too.
10 months agoReport content
Answer
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Step 1:I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the Number
The number we need to convert to scientific notation is $$127.5$$.
Step 3:: Determine the Placement of the Decimal Point
127.5 = 1.275 \times 10^{2}
To convert to scientific notation, we need to move the decimal point until we have a number between 1 and 10. Explanation: - We moved the decimal point 2 places to the left - This gives us 1.275 as the coefficient - The exponent is 2 because we moved the decimal 2 places
Step 4:: Verify the Conversion
1.275 \times 10^{2} = 1.275 \times 100 = 127.5 \checkmark
Let's check our work:
Final Answer
The scientific notation for 127.5 is 1.275 \times 10^{2}. Key Insights: - Scientific notation always has a coefficient between 1 and 10 - The exponent tells you how many places the decimal moved - Positive exponents mean moving the decimal left - Negative exponents would mean moving the decimal right
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