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Solve the following problems: Problem 13: Omondi calculated the total area of a figure as 15.996 ha. Round off the number to the nearest hundredths. Problem 14: The figure below represents a bicycle w

Mathematics

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:
Omondi calculated the total area of a figure as 15.996 ha15.996 \text{ ha}. Round off the number to the nearest hundredths.

  1. Identify the digit in the hundredths place.

    In the number 15.996, the digit in the hundredths place is the second '9' after the decimal point.

  2. Look at the digit immediately to the right of the hundredths place.

    The digit in the thousandths place is '6'.

  3. Round the number.

    Since '6' is 5 or greater, we round up the digit in the hundredths place.
    Rounding '9' up means it becomes '10'. This carries over to the tenths place.
    The tenths digit '9' also becomes '10', which carries over to the ones place.
    The ones digit '5' becomes '6'.
    So, 15.996 rounded to the nearest hundredths is 16.00.
    The rounded number is 16.00 ha\boxed{16.00 \text{ ha}}.

    :
    The figure below represents a bicycle wheel of radius 14 cm14 \text{ cm}. Calculate its circumference.

  4. Identify the given radius.

    The radius (rr) of the bicycle wheel is 14 cm14 \text{ cm}.

  5. Use the formula for the circumference of a circle.

    The circumference (CC) of a circle is given by the formula C=2πrC = 2\pi r. We will use π=227\pi = \frac{22}{7}.

    C=2×227×14 cmC = 2 \times \frac{22}{7} \times 14 \text{ cm}
  6. Perform the calculation.

    C=2×22×147 cmC = 2 \times 22 \times \frac{14}{7} \text{ cm} C=2×22×2 cmC = 2 \times 22 \times 2 \text{ cm} C=44×2 cmC = 44 \times 2 \text{ cm} C=88 cmC = 88 \text{ cm}

    The circumference of the bicycle wheel is 88 cm\boxed{88 \text{ cm}}.

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