Level 5 • 10/50 questions • 40 seconds per question.
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What type of real number is (0.125)?
B. परिमेय संख्याRational number
(0.125) समाप्त दशमलव है इसलिए यह परिमेय संख्या है। समाप्त दशमलव को भिन्न में बदला जा सकता है। / (0.125) is a terminating decimal, so it is rational. A terminating decimal can be changed into a fraction.
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If (0.1010010001...) has no repeating pattern, what is it?
C. अपरिमेय वास्तविक संख्याIrrational real number
असमाप्त और अनावर्ती दशमलव अपरिमेय होता है। ऐसे दशमलव भी वास्तविक संख्या रेखा पर आते हैं। / A non-terminating and non-repeating decimal is irrational. Such decimals also lie on the real number line.
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Where is the real number ( -0.6 ) on the number line?
B. ( -1 ) और (0) के बीचBetween ( -1 ) and (0)
( -0.6 ) शून्य से बाईं ओर और ( -1 ) से दाईं ओर है। इसलिए यह ( -1 ) और (0) के बीच है। / ( -0.6 ) is left of zero and right of ( -1 ). So it lies between ( -1 ) and (0).
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What is obtained by converting (1.25) into a fraction?
A. \( \frac{5}{4} \)
\(1.25=\frac{125}{100}=\frac{5}{4} \)। समाप्त दशमलव को (10) की घात वाले हर से लिखें। / \(1.25=\frac{125}{100}=\frac{5}{4} \). Write terminating decimals using denominators that are powers of (10).
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Which fraction is equal to (2.75)?
A. \( \frac{11}{4} \)
\(2.75=\frac{275}{100}=\frac{11}{4} \)। दशमलव को भिन्न में बदलकर सरल करें। / \(2.75=\frac{275}{100}=\frac{11}{4} \). Convert the decimal into a fraction and simplify.
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What is the decimal form of \( \frac{7}{8} \)?
A. (0.875)
(7) को (8) से भाग देने पर (0.875) मिलता है। भाग विधि से दशमलव रूप निकालें। / Dividing (7) by (8) gives (0.875). Use division to find decimal form.
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What is the decimal form of \( \frac{9}{4} \)?
A. (2.25)
\(9\div4=2.25\) होता है। हर (4) वाले भिन्न अक्सर समाप्त दशमलव देते हैं। / \(9\div4=2.25\). Fractions with denominator (4) often give terminating decimals.
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What type of number is \(0.\overline{12}\)?
B. परिमेय वास्तविक संख्याRational real number
\(0.\overline{12}\) आवर्ती दशमलव है इसलिए यह परिमेय है। हर परिमेय संख्या वास्तविक भी होती है। / \(0.\overline{12}\) is a repeating decimal, so it is rational. Every rational number is also real.
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What is the value of \( \sqrt{0.04} \)?
B. (0.2)
\(0.2^2=0.04\) इसलिए \( \sqrt{0.04}=0.2 \)। दशमलव के वर्गमूल में स्थान मान ध्यान रखें। / \(0.2^2=0.04\), so \( \sqrt{0.04}=0.2 \). Be careful with place value in decimal square roots.
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What is the value of \( \sqrt{0.25} \)?
A. (0.5)
\(0.5^2=0.25\) इसलिए \( \sqrt{0.25}=0.5 \)। वर्गमूल के लिए वर्ग करके जाँच सकते हैं। / \(0.5^2=0.25\), so \( \sqrt{0.25}=0.5 \). You can check a square root by squaring it.
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