Math Problem Statement

Solve the given set of addition problems: 128+83, 214+89, 366+79, 467+55, 145+255, 324+298, 188+523, and 457+243.

Solution

Let me solve these addition problems step-by-step:

  1. 128 + 83

    • 8+3=118 + 3 = 11, write 1, carry 1.
    • 2+8+1=112 + 8 + 1 = 11, write 1, carry 1.
    • 1+1=21 + 1 = 2.
      Answer: 211
  2. 214 + 89

    • 4+9=134 + 9 = 13, write 3, carry 1.
    • 1+8+1=101 + 8 + 1 = 10, write 0, carry 1.
    • 2+1=32 + 1 = 3.
      Answer: 303
  3. 366 + 79

    • 6+9=156 + 9 = 15, write 5, carry 1.
    • 6+7+1=146 + 7 + 1 = 14, write 4, carry 1.
    • 3+1=43 + 1 = 4.
      Answer: 445
  4. 467 + 55

    • 7+5=127 + 5 = 12, write 2, carry 1.
    • 6+5+1=126 + 5 + 1 = 12, write 2, carry 1.
    • 4+1=54 + 1 = 5.
      Answer: 522
  5. 145 + 255

    • 5+5=105 + 5 = 10, write 0, carry 1.
    • 4+5+1=104 + 5 + 1 = 10, write 0, carry 1.
    • 1+2+1=41 + 2 + 1 = 4.
      Answer: 400
  6. 324 + 298

    • 4+8=124 + 8 = 12, write 2, carry 1.
    • 2+9+1=122 + 9 + 1 = 12, write 2, carry 1.
    • 3+2+1=63 + 2 + 1 = 6.
      Answer: 622
  7. 188 + 523

    • 8+3=118 + 3 = 11, write 1, carry 1.
    • 8+2+1=118 + 2 + 1 = 11, write 1, carry 1.
    • 1+5+1=71 + 5 + 1 = 7.
      Answer: 711
  8. 457 + 243

    • 7+3=107 + 3 = 10, write 0, carry 1.
    • 5+4+1=105 + 4 + 1 = 10, write 0, carry 1.
    • 4+2+1=74 + 2 + 1 = 7.
      Answer: 700

Do you have questions about any step or would you like further explanations?

Here are 5 related questions for practice:

  1. Can you solve 578+192578 + 192?
  2. What happens when you add 345+678345 + 678?
  3. How do you handle carrying over when adding larger numbers?
  4. Solve 999+101999 + 101.
  5. Try adding 256+344256 + 344.

Tip: Always align numbers by their place values (units, tens, hundreds) to avoid errors when adding.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Addition
Carrying Over

Formulas

Standard addition algorithm with carrying over

Theorems

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Suitable Grade Level

Grades 3-5