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Solve the following math problems, showing your work for each step.

Mathematics

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Homework 05 April 2026

  1. Fill in the first blank box in the top row.

    205−5=200205 - 5 = 200
  2. Fill in the second blank box in the top row.

    200−10=190200 - 10 = 190
  3. Fill in the rightmost blank box in the bottom row (connected from the top row).

    190−20=170190 - 20 = 170
  4. Fill in the blank box to the left of 170 in the bottom row.

    To find the number before subtracting 20, we add 20.

    170+20=190170 + 20 = 190
  5. Fill in the next blank box to the left.

    To find the number before subtracting 5, we add 5.

    190+5=195190 + 5 = 195
  6. Fill in the leftmost blank box in the bottom row.

    To find the number before subtracting 5, we add 5.

    195+5=200195 + 5 = 200

    The completed sequence is:
    Top row: 220→−15205→−5200→−10190220 \xrightarrow{-15} 205 \xrightarrow{-5} \boxed{\text{}200\text{}} \xrightarrow{-10} \boxed{\text{}190\text{}}
    Connection: 190→−20170\boxed{\text{}190\text{}} \xrightarrow{-20} \boxed{\text{}170\text{}}
    Bottom row: 200→−5195→−5190→−20170\boxed{\text{}200\text{}} \xrightarrow{-5} \boxed{\text{}195\text{}} \xrightarrow{-5} \boxed{\text{}190\text{}} \xrightarrow{-20} \boxed{\text{}170\text{}}

    Homework 06 April 2026

  7. Set up the division problem.

    We need to find how many groups of 2 learners are in 24 learners.

    24÷224 \div 2
  8. Perform the division.

    24÷2=1224 \div 2 = 12
  9. Show the calculation using repeated subtraction.

    24−2=2224 - 2 = 22 22−2=2022 - 2 = 20 20−2=1820 - 2 = 18 18−2=1618 - 2 = 16 16−2=1416 - 2 = 14 14−2=1214 - 2 = 12 12−2=1012 - 2 = 10 10−2=810 - 2 = 8 8−2=68 - 2 = 6 6−2=46 - 2 = 4 4−2=24 - 2 = 2 2−2=02 - 2 = 0

    We subtracted 2, twelve times.

    • Number of cars needed: 12 cars\boxed{\text{}12 \text{ cars}\text{}}

    Homework 07 April 2026

    a) Find the number of marbles in each bag first and then find the total number

  10. Find the number of marbles in each bag.

    3 blue marbles+2 yellow marbles=5 marbles per bag3 \text{ blue marbles} + 2 \text{ yellow marbles} = 5 \text{ marbles per bag}
  11. Find the total number of marbles.

    Total marbles=Marbles per bag×Number of bags\text{Total marbles} = \text{Marbles per bag} \times \text{Number of bags} Total marbles=5×4=20\text{Total marbles} = 5 \times 4 = 20
    • Total marbles (Way 1): 20 marbles\boxed{\text{}20 \text{ marbles}\text{}}

    Here is the second way to find the total number of marbles:

  12. Find the total number of blue marbles.

    Total blue marbles=3 blue marbles/bag×4 bags=12 blue marbles\text{Total blue marbles} = 3 \text{ blue marbles/bag} \times 4 \text{ bags} = 12 \text{ blue marbles}
  13. Find the total number of yellow marbles.

    Total yellow marbles=2 yellow marbles/bag×4 bags=8 yellow marbles\text{Total yellow marbles} = 2 \text{ yellow marbles/bag} \times 4 \text{ bags} = 8 \text{ yellow marbles}
  14. Add the total blue and total yellow marbles to find the grand total.

    Total marbles=12 blue marbles+8 yellow marbles=20 marbles\text{Total marbles} = 12 \text{ blue marbles} + 8 \text{ yellow marbles} = 20 \text{ marbles}
    • Total marbles (Way 2): 20 marbles\boxed{\text{}20 \text{ marbles}\text{}}
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