Math Problem Statement

What numbers are missing in this addition?

Solution

The image shows an incomplete addition problem, where some digits are missing. The sum of two numbers should equal 2193, with one of the addends being 843 and parts of the other number missing (7 _ 6). Here's how to solve it:

  1. We know the sum is 2193.
  2. The second number's hundreds and tens digits are missing, while the ones digit is 6.

Let's break it down column by column:

Ones place:

  • 3 + 6 = 9 (correct).

Tens place:

  • There's a missing digit and 4. From the sum, we know that a number added to 4 should result in 9. So, the missing number in the tens place is 5 (because 5 + 4 = 9).

Hundreds place:

  • There's a missing digit plus 8, resulting in a 1, but remember that 1 comes from a carryover. So, we need to add 8 + 1 (carry) = 9. This means the missing number in the hundreds place is 1 (because 1 + 8 + 1 = 10, and we carry 1 to the thousands).

Final answer:

  • The missing number is 156. So, the complete addition is:
& 843 \\ + & 156 \\ \hline & 2193 \\ \end{array}$$ Would you like more details, or do you have any questions? --- Here are 5 related questions for further practice: 1. What is the sum of 427 + 586? 2. How do you check for carryover in addition problems? 3. If the ones digit is missing, how can you find it using the sum? 4. How can missing numbers in a subtraction problem be found? 5. How do you solve addition problems with missing digits in both addends? **Tip:** Always start solving missing number problems from the rightmost digits (ones place) and move left to handle carryovers correctly!

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Math Problem Analysis

Mathematical Concepts

Basic Addition
Place Value
Carryover in Addition

Formulas

Carryover rule: if the sum of a column exceeds 9, carry over the excess to the next column.

Theorems

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Suitable Grade Level

Grades 3-5