MATHEMATICS (PAPER 1) 3 GRADE 9 ECTION A QUESTION 1 Answer questions \( 1.1-1.5 \) by choosing the correct answer. Circle the letter next to the correct nswer. Which of the options below contains rational numbers only? A \( \frac{1}{4} ; \sqrt{\frac{4}{0}} ; \frac{22}{7} \) B \( \quad-2,5401 ; \sqrt{89} ; 4,3891016 \) C \( \sqrt{-100} ; 0,25 ; 4 \) D \( \quad-8 ;-\sqrt{144} ; 5 \frac{7}{8} \) 1.2 To simplify \( \left(100 p^{a}\right)^{b} \ldots \) A add the exponents. B subtract the exponents. C multiply the exponents. D divide the exponents. (1) 1.3 Evaluate: \( \frac{4}{5} x-\frac{1}{3} x-\frac{1}{15} x \) A \( \frac{2}{15} \mathrm{x} \) B \( \frac{2}{5} x \) C \( \frac{7}{15} \mathrm{x} \) D \( \quad \frac{2}{2} x \)
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Did you know that rational numbers are any numbers that can be expressed as a fraction where both the numerator and the denominator are integers? That means things like \( \frac{1}{4} \) and \( -8 \) make the cut, but square roots of negative numbers like \( \sqrt{-100} \) certainly do not! Remember, if you can write it as a fraction, it’s rational! When tackling exponents, the key rule to remember is that raising a power to another power involves multiplying the exponents together! So for the algebraic expression \( (100 p^a)^b \), you would select option C: multiply the exponents. Keep this tip in your back pocket while simplifying—it's a mathematically fun way to keep things in order!
