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Fill in the blanks and arrange expressions in ascending order.

Mathematics

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Step-by-step solution

10 steps

Here are the solutions to the problems.

1. Fill in the blanks to make the expressions equal on both sides of the sign:

  • a) 13+4=_+613 + 4 = \_ + 6
  1. Calculate the left side.

    $$
    13 + 4 = 17
    $$
    
  2. Set up the equation and solve for the blank.

    $$
    17 = \_ + 6
    $$
    $$
    \_ = 17 - 6
    $$
    $$
    \_ = 11
    $$
    The blank is $\boxed{11}$.
    
    • b) 22+_=6×522 + \_ = 6 \times 5
  3. Calculate the right side.

    $$
    6 \times 5 = 30
    $$
    
  4. Set up the equation and solve for the blank.

    $$
    22 + \_ = 30
    $$
    $$
    \_ = 30 - 22
    $$
    $$
    \_ = 8
    $$
    The blank is $\boxed{8}$.
    
    • c) 8×_=64÷28 \times \_ = 64 \div 2
  5. Calculate the right side.

    $$
    64 \div 2 = 32
    $$
    
  6. Set up the equation and solve for the blank.

    $$
    8 \times \_ = 32
    $$
    $$
    \_ = \frac{32}{8}
    $$
    $$
    \_ = 4
    $$
    The blank is $\boxed{4}$.
    
    • d) 34−_=2534 - \_ = 25
  7. Solve for the blank.

    $$
    \_ = 34 - 25
    $$
    $$
    \_ = 9
    $$
    The blank is $\boxed{9}$.
    

    2. Arrange the following expressions in ascending (increasing) order of their values:

  8. Calculate the value of each expression.

    • a) 67−19=4867 - 19 = 48
    • b) 67−20=4767 - 20 = 47
    • c) 35+25=6035 + 25 = 60
    • d) 5×11=555 \times 11 = 55
    • e) 120÷3=40120 \div 3 = 40
  9. List the values in ascending order.

    40,47,48,55,6040, 47, 48, 55, 60
  10. Replace the values with their original expressions.

    120÷3,67−20,67−19,5×11,35+25120 \div 3, 67 - 20, 67 - 19, 5 \times 11, 35 + 25

    The expressions in ascending order are:
    120÷3,67−20,67−19,5×11,35+25\boxed{120 \div 3, 67 - 20, 67 - 19, 5 \times 11, 35 + 25}

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