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Solve for the missing number in the equations: a) 30.5 + ? = 30.9, b) 725.13 + ? = 725.45, c) 5.203 - ? = 3.15. Also, calculate 324.12 + 10.63.

Mathematics

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Step-by-step solution

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Activity 1: Fill in the missing number

*a)

  1. Identify the operation.

    The equation is 30.5+missing number=30.930.5 + \text{missing number} = 30.9.

  2. Isolate the missing number by subtracting 30.5 from 30.9.

    Missing number=30.9−30.5\text{Missing number} = 30.9 - 30.5

  3. Perform the subtraction.

    30.9−30.5=0.430.9 - 30.5 = 0.4

    The missing number is 0.4\boxed{0.4}.

    *b)

  4. Identify the operation.

    The equation is 725.13+missing number=725.45725.13 + \text{missing number} = 725.45.

  5. Isolate the missing number by subtracting 725.13 from 725.45.

    Missing number=725.45−725.13\text{Missing number} = 725.45 - 725.13

  6. Perform the subtraction.

    725.45−725.13=0.32725.45 - 725.13 = 0.32

    The missing number is 0.32\boxed{0.32}.

    *c)

  7. Identify the operation.

    The equation is 5.203−missing number=3.155.203 - \text{missing number} = 3.15.

  8. Isolate the missing number by subtracting 3.15 from 5.203.

    Missing number=5.203−3.15\text{Missing number} = 5.203 - 3.15

  9. Perform the subtraction.

    5.203−3.15=2.0535.203 - 3.15 = 2.053

    The missing number is 2.053\boxed{2.053}.

    Activity 2: Calculate the following by using any method

    *a)

  10. Set up the addition problem, aligning the decimal points.

    324.12+10.63324.12 + 10.63

  11. Add the numbers column by column, starting from the rightmost digit.

    324.12+10.63334.75\begin{array}{r} 324.12 \\ +\quad 10.63 \\ \hline 334.75 \end{array}

    The sum is 334.75\boxed{334.75}.

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