Solve Addition Problem: 917 + 73 in Vertical Format

Multi-Digit Addition with Carrying

917+  73776 \begin{aligned} &917 \\ +& \\ &~~73 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time consider combining 2 digits, and then place
00:06 Let's start by combining ones with ones
00:15 Place the ones, and add 1 to the tens
00:20 Combine tens with tens, remember to add 1 to the calculation
00:23 Place in the tens
00:27 Place 0 in the missing digits
00:31 Combine hundreds with hundreds, place in hundreds
00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

917+  73776 \begin{aligned} &917 \\ +& \\ &~~73 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Align the numbers by place value.
  • Add the numbers starting from the rightmost column, with carrying where necessary.
  • Verify the results match one of the provided multiple-choice answers.

We can begin with the addition:

+917+9  73777\begin{aligned} &\phantom{+}917 \\ + &\phantom{9}~~73 \\ &\underline{\phantom{777}} \end{aligned}

Let's add each digit column by column:

Step 1: Add the units place (rightmost column).

The units are 7 and 3. Add these together: 7+3=10 7 + 3 = 10 . Since 10 is more than 9, we place the 0 in the units place and carry over the 1 to the tens column.

Step 2: Add the tens place, including the carry from the previous step.

Now add the tens digits: 1+1+7=9 1 + 1 + 7 = 9 . (The 1 is carried from the previous step, and 9 is the result.) Place 9 in the tens column.

Step 3: Add the hundreds place.

The hundreds place has a 9 with nothing to add, so it remains 9.

The resulting sum from the addition is 990. Therefore, the correct answer is:

990990

Verifying with the given multiple-choice options, the correct answer is choice 3.

3

Final Answer

990

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up digits by place value before adding
  • Carrying: When sum exceeds 9, write ones digit and carry tens
  • Verification: Check by adding in reverse order: 73 + 917 = 990 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't write 10 in the units place when 7 + 3 = 10! This creates a two-digit result in a single column, making your answer wrong. Always write the ones digit (0) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'carrying' mean in addition?

+

When two digits add up to 10 or more, you write down the ones digit and carry the tens digit to the next column. For example, 7 + 3 = 10, so write 0 and carry 1.

Why do I need to align the numbers correctly?

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Place value alignment is crucial! The ones must line up with ones, tens with tens, etc. If 73 isn't properly aligned under 917, you'll add the wrong digits together.

How do I handle the carry when adding the tens column?

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Add all three numbers: the tens digit from the first number, the tens digit from the second number, AND the carried digit. So 1 + 7 + 1 (carried) = 9.

What if there's no digit in a column?

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Treat missing digits as zero. In this problem, 73 has no hundreds digit, so it's like adding 917 + 073. The hundreds place becomes 9 + 0 = 9.

How can I check if my answer is correct?

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Try these methods:

  • Reverse addition: 73 + 917 should equal 990
  • Estimation: 917 + 73 ≈ 900 + 70 = 970 (close to 990)
  • Subtraction check: 990 - 73 should equal 917

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