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Identify learners who cited a prime number from the list: Anita (49), Pambo (29), Amla (2), Jembo (87). 2. Arrange the fractions 4/9, 3/7, 1/5, 1/2 in ascending order. 3. Calculate 98.51 * 18.

Mathematics

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Here are the solutions to your questions:

1. Prime Numbers

  1. Understand what a prime number is.

    A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

  2. Check each number provided.

    • Anita: 49=7×749 = 7 \times 7. 49 is not a prime number.
    • Pambo: 29. The only divisors of 29 are 1 and 29. 29 is a prime number.
    • Amla: 2. The only divisors of 2 are 1 and 2. 2 is a prime number (it is the smallest and only even prime number).
    • Jembo: 87=3×2987 = 3 \times 29. 87 is not a prime number.
  3. Identify who cited a prime number.

    Pambo and Amla cited prime numbers.

    The learners who cited a prime number are: Pambo and Amla\boxed{\text{Pambo and Amla}}

    2. Arranging Fractions

  4. Convert each fraction to a decimal to easily compare their values.

    • 49≈0.444...\frac{4}{9} \approx 0.444...
    • 37≈0.428...\frac{3}{7} \approx 0.428...
    • 15=0.2\frac{1}{5} = 0.2
    • 12=0.5\frac{1}{2} = 0.5
  5. Arrange the decimal values in ascending order (from smallest to largest).

    $0.2, 0.428..., 0.444..., 0.5$

  6. Write the original fractions in the corresponding ascending order.

    15,37,49,12\frac{1}{5}, \frac{3}{7}, \frac{4}{9}, \frac{1}{2}

    The fractions in ascending order are: 15,37,49,12\boxed{\frac{1}{5}, \frac{3}{7}, \frac{4}{9}, \frac{1}{2}}

    3. Determine the value of 98.51×1898.51 \times 18

  7. Perform the multiplication.

    We can multiply 98.51 by 18.

    x98.51×18x78808(98.51×8)985100(98.51×10)1773.18\begin{array}{c} \phantom{x}98.51 \\ \times \quad 18 \\ \hline \phantom{x}78808 \quad (98.51 \times 8) \\ 98510\phantom{0} \quad (98.51 \times 10) \\ \hline 1773.18 \\ \end{array}
  8. State the final product.

    The product of 98.51 and 18 is 1773.18.

    The value is: 1773.18\boxed{1773.18}

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