iGCSE Mathematics (0580) - C1.5 Ordering- Exam Style Questions Paper 1- New Syllabus
▶️ Answer/Explanation
Convert each number to its ordinary decimal form:
\(9.857 \times 10^{-2} = 0.09857\), \(\quad 3.5 \times 10^{2} = 350\), \(\quad 1.54 \times 10^{1} = 15.4\), \(\quad 6.5 \times 10^{-2} = 0.065\).
Ordering from smallest to largest: \(0.065 < 0.09857 < 15.4 < 350\).
✅ Answer: \(6.5 \times 10^{-2} \ < \ 9.857 \times 10^{-2} \ < \ 1.54 \times 10^{1} \ < \ 3.5 \times 10^{2}\)
▶️ Answer/Explanation
To compare these numbers accurately, let’s convert each fraction to a common denominator of $24$:
• $\frac{5}{8} = \frac{15}{24}$
• $\frac{11}{12} = \frac{22}{24}$
• $\frac{2}{3} = \frac{16}{24}$
• $\frac{3}{4} = \frac{18}{24}$
• $\frac{13}{24} = \frac{13}{24}$
Comparing the numerators ($13 < 15 < 16 < 18 < 22$), we can arrange them cleanly from smallest to largest.
✅ Answer: $\frac{13}{24}, \ \frac{5}{8}, \ \frac{2}{3}, \ \frac{3}{4}, \ \frac{11}{12}$
• $\frac{5}{8} = \frac{15}{24}$
• $\frac{11}{12} = \frac{22}{24}$
• $\frac{2}{3} = \frac{16}{24}$
• $\frac{3}{4} = \frac{18}{24}$
• $\frac{13}{24} = \frac{13}{24}$
Comparing the numerators ($13 < 15 < 16 < 18 < 22$), we can arrange them cleanly from smallest to largest.
✅ Answer: $\frac{13}{24}, \ \frac{5}{8}, \ \frac{2}{3}, \ \frac{3}{4}, \ \frac{11}{12}$
▶️ Answer/Explanation
To compare these numbers accurately, let’s convert them all into decimal values:
$\frac{1}{3} = 0.333…$
$34\% = 0.34$
$3.1 = 3.1$
$\pi \approx 3.14159…$
$3 \frac{3}{10} = 3.3$
Sorting these decimal values from smallest to largest gives us the order: $0.333… < 0.34 < 3.1 < 3.14159… < 3.3$. Translating back to the original forms yields the final list.
✅ Answer: $\frac{1}{3} < 34\% < 3.1 < \pi < 3 \frac{3}{10}$
$\frac{1}{3} = 0.333…$
$34\% = 0.34$
$3.1 = 3.1$
$\pi \approx 3.14159…$
$3 \frac{3}{10} = 3.3$
Sorting these decimal values from smallest to largest gives us the order: $0.333… < 0.34 < 3.1 < 3.14159… < 3.3$. Translating back to the original forms yields the final list.
✅ Answer: $\frac{1}{3} < 34\% < 3.1 < \pi < 3 \frac{3}{10}$