QQuestionMathematics
QuestionMathematics
Find the mantissa of the following numbers:
mantissa of 893 is
mantissa of 0.089 is
mantissa of - 78 is
mantissa of - 0.0003 is
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Answer
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Step 1:: To find the mantissa of a given number, we first need to convert it into its normalized scientific notation.
In normalized scientific notation, the mantissa is a decimal number between 1 and 10 (exclusive of 10).
Step 2:: For the number 893, its scientific notation is 893 \times 10^0.
Dividing by 10 to normalize, we get $$8.93 \times 10^2$$.
Here, the mantissa is 8.93.
Step 3:: For the number 0.089, its scientific notation is 8.9 \times 10^{- 2}.
Here, the mantissa is 8.9.
Step 4:: For the number - 78, its scientific notation is - 7.8 \times 10^1.
Here, the mantissa is - 7.8.
Step 5:: For the number - 0.0003, its scientific notation is - 3 \times 10^{- 4}.
Here, the mantissa is - 3.
Final Answer
- For 893: 8.93 - For 0.089: 8.9 - For - 78: - 7.8 - For - 0.0003: - 3
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