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Replace the '*' with (<, > or =) to make the statement true. Then, calculate without using a calculator, show all the steps.

Mathematics

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Question 3

3.4 Replace the '*' with (<<, >> or ==) to make the statement true.

  1. Compare the two numbers.

    13,46 is equivalent to 13,460 because adding zeros at the end of the decimal part does not change the value.

  2. Determine the relationship.

    13,46=13,46013,46 = 13,460

    13,46=13,460\boxed{13,46 = 13,460}

    3.5 Calculate without using a calculator, show all the steps.

    3.5.1 201,65−4,30201,65 - 4,30

  3. Align the decimal points and subtract.

    201,65−4,30197,35\begin{align*} 201,65 \\ - \quad 4,30 \\ \hline 197,35 \end{align*} 197,35\boxed{197,35}

    3.5.2 0,012÷40,012 \div 4

  4. Divide the number by 4.

    0,012÷4=0,0030,012 \div 4 = 0,003 0,003\boxed{0,003}

    3.5.3 5,276×305,276 \times 30

  5. Multiply 5,276 by 3.

    5,276×3=15,8285,276 \times 3 = 15,828
  6. Multiply the result by 10 (since we originally had 30).

    15,828×10=158,2815,828 \times 10 = 158,28 158,28\boxed{158,28}

    3.5.4 Write the following common fraction as decimal fraction 12\frac{1}{2}

  7. Divide the numerator by the denominator.

    12=1÷2=0,5\frac{1}{2} = 1 \div 2 = 0,5 0,5\boxed{0,5}

    Question 4

    4.1 Cape Town temperature in °C is noted as:
    The given temperatures are: −7∘C;−2∘C;0∘C;3∘C;5∘C-7^\circ\text{C}; -2^\circ\text{C}; 0^\circ\text{C}; 3^\circ\text{C}; 5^\circ\text{C}.

    −7∘C;−2∘C;0∘C;3∘C;5∘C\boxed{-7^\circ\text{C}; -2^\circ\text{C}; 0^\circ\text{C}; 3^\circ\text{C}; 5^\circ\text{C}}
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