Math  /  Numbers & Operations

QuestionConsider the following operations on the number 5.46×1025.46 \times 10^{-2} Without using a calculator, decide which would give a significantly smaller value than 5.46×1025.46 \times 10^{-2}, which would give a significantly larger value, or which would give essentially the same value. 5.46×102+8.00×1065.46×1028.00×1065.46×102×8.00×1065.46×102÷8.00×106\begin{array}{l} 5.46 \times 10^{-2}+8.00 \times 10^{-6} \\ 5.46 \times 10^{-2}-8.00 \times 10^{-6} \\ 5.46 \times 10^{-2} \times 8.00 \times 10^{-6} \\ 5.46 \times 10^{-2} \div 8.00 \times 10^{-6} \end{array} \square \square \square \square

Studdy Solution
Summarize the results.
1. 5.46×102+8.00×1065.46 \times 10^{-2} + 8.00 \times 10^{-6} is essentially the same value.
2. 5.46×1028.00×1065.46 \times 10^{-2} - 8.00 \times 10^{-6} is essentially the same value.
3. 5.46×102×8.00×1065.46 \times 10^{-2} \times 8.00 \times 10^{-6} is significantly smaller.
4. 5.46×102÷8.00×1065.46 \times 10^{-2} \div 8.00 \times 10^{-6} is significantly larger.

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