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Pre Algebra Questions & Answers

Q:
Evaluate the expression without a calculato \[ \log _{6} \frac{1}{\sqrt{6}} \]
Q:
1.2 Rationalize the denominators in the following expression. (a) \( \frac{8}{\sqrt{2}} \) (b) \( \frac{4}{2+\sqrt{3}} \) (c) \( \frac{3 \sqrt{2}}{8-4 \sqrt{3}} \) (d) \( \frac{5-\sqrt{5}}{3+\sqrt{5}} \)
Q:
2. Ubica en la recta numérica los siguientes números. a. \( -5,2 ; \sqrt{3}, 0 \)
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Write the number in expanded form using exponents. 5. \( 74,271= \) 6. Number Sense Explain the difference between \( 4^{6} \) and \( 6^{4} \).
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\( R=\log \left(\frac{A}{A_{0}}\right) \) where \( A \) - the measure of the amplitude of the earthquake wave \( A_{0} \) the amplitude of the smallest detectable wave (or standard wave). An earthquake is measured with a wave amplitude 525 times as great as \( A_{0} \). What is the magnitude of this earthquake using the Richter scale, to the nearest tenth? The earthquake registered
Q:
What el común denominador de las fracciones.
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9. Halla el común denominador de las fracciones. \( \frac{8}{9} \) y \( \frac{3}{99} \)
Q:
QUESTION 3 3.1. Consider the sequence \( 5 ; \frac{7}{4} ; a ; b ; \frac{13}{25} ; c \) The general term for the sequence is \( T_{n}=\frac{2 n+3}{n^{2}} \), determine the values of \( a, b \) and \( c \)
Q:
The ratio of pencils to erasers is \( 4: 1 \). If there are 20 pencils, how many erasers are there?
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o. There are a total of 463,100 books in a library. What is the value of the exponent when is number is written in scientific notation?

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