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Select the two multiplication problems that show correct calculations using the standard algorithm.

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23 times 13 = blank 69 + blank 23 = blank.

16 times 13 = blank 39 + 160 = blank. A 1 is above the 1 in 16.

14 times 22 = blank 28 + 280 = blank.

15 times 16 = blank 90 + 150 = blank. CrossOut 3 EndCrossOut is above the 1 in 15.

1 answer

To determine which two multiplication problems show correct calculations using the standard algorithm, let's evaluate each of the given problems:

  1. 23 times 13 = blank 69 + blank 23 = blank.

    • Calculation:
      • 23 x 3 = 69 (correct)
      • 23 x 10 = 230 (should be added to the previous product)
      • Add: 69 + 230 = 299 (the final answer is 299)
    • This calculation seems correct in terms of the multiplication process, but the summation and placement of numbers is vague.

  2. 16 times 13 = blank 39 + 160 = blank. A 1 is above the 1 in 16.

    • Calculation:
      • 16 x 3 = 48 (not 39, hence incorrect)
      • 16 x 10 = 160 (correct)
      • Add: 48 + 160 = 208 (the final answer is 208)
    • This calculation is incorrect as the product of 16 and 3 should be 48, not 39.

  3. 14 times 22 = blank 28 + 280 = blank.

    • Calculation:
      • 14 x 2 = 28 (correct)
      • 14 x 20 = 280 (correct)
      • Add: 28 + 280 = 308 (the final answer is 308)
    • This calculation is done correctly in terms of both multiplication and addition.

  4. 15 times 16 = blank 90 + 150 = blank. CrossOut 3 EndCrossOut is above the 1 in 15.

    • Calculation:
      • 15 x 6 = 90 (correct)
      • 15 x 10 = 150 (correct)
      • Add: 90 + 150 = 240 (the final answer is 240)
    • This calculation is also done correctly in terms of both multiplication and addition.

Based on this evaluation, the two problems that show correct calculations using the standard algorithm are:

  • 14 times 22 = blank 28 + 280 = blank.
  • 15 times 16 = blank 90 + 150 = blank.