Math Problem Statement

Solve arithmetic problems involving addition, subtraction, and identifying number patterns.

Solution

I can assist with the problems in the image. Here's a breakdown of the questions and how to approach them:

  1. Section 10 involves finding patterns in numbers and filling in the blanks. Based on the diagram:

    • From left to right:
      • 2719=827 - 19 = 8,
      • 8+28=368 + 28 = 36,
      • 36+28=7336 + 28 = 73. This pattern seems to involve a mix of subtraction and addition steps.
  2. Section 11 asks you to complete sums. Here's how it works:

    • 4+5=94 + 5 = 9,
    • 76=17 - 6 = 1,
    • 8+1=98 + 1 = 9, etc. You would fill in the numbers below accordingly.
  3. Section 12 consists of arithmetic questions: a) Sum of 34 and 56:
    34+56=9034 + 56 = 90 b) Difference between 90 and 29:
    9029=6190 - 29 = 61 c) Number 6 more than 84:
    84+6=9084 + 6 = 90 d) Number 17 less than 35:
    3517=1835 - 17 = 18 e) How much is 13 more than 52:
    52+13=6552 + 13 = 65 f) How much is 88 more than 59:
    8859=2988 - 59 = 29 g) The minuend, knowing the difference is 22 and the subtrahend is 28:
    22+28=5022 + 28 = 50 h) The second term, knowing the first is 68 and the sum is 95:
    9568=2795 - 68 = 27

  4. Section 13 asks for subtracting 94 from 76:
    9476=1894 - 76 = 18

  5. Section 14 asks to increase a number by its reversed version (mirror): likely referring to reversing the digits of 18. This would be:
    18 becomes 81and18+81=9918 \text{ becomes } 81 \quad \text{and} \quad 18 + 81 = 99

  6. Section 15 asks for the sum of 47 and 44, then subtracting 42:
    47+44=91,9142=4947 + 44 = 91, \quad 91 - 42 = 49

  7. Section 16 asks for the difference between 31 and 14, then adding 58:
    3114=17,17+58=7531 - 14 = 17, \quad 17 + 58 = 75

  8. Section 17 asks for the sum of 86 and 8, then subtracting the difference between 91 and 59:
    86+8=94,9159=32,9432=6286 + 8 = 94, \quad 91 - 59 = 32, \quad 94 - 32 = 62

If you need further details or a breakdown of any specific part, let me know!


5 Related Questions:

  1. What is the general rule for solving subtraction problems with minuend and subtrahend?
  2. How can you check if your answer in Section 10 is correct by using reverse operations?
  3. What patterns can you find in other arithmetic sequences like in Section 10?
  4. How would reversing a number work for a three-digit number in Section 14?
  5. What is the algebraic approach to solving Section 17 systematically?

Tip: When working with arithmetic problems involving sequences, always look for consistent patterns such as constant addition or subtraction. This makes it easier to predict the next step.

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Math Problem Analysis

Mathematical Concepts

Addition
Subtraction
Pattern Recognition

Formulas

Basic addition: a + b = c
Basic subtraction: a - b = c

Theorems

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Suitable Grade Level

Grades 3-5