Solve Vertical Addition: 957 + 3 Step by Step

Vertical Addition with Carrying

957+    3776 \begin{aligned} &957 \\ +& \\ &~~~~3 \\ &\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 we'll calculate the sum of 2 digits, and then assign
00:06 Let's start by adding ones with ones
00:09 We'll place 0 in the missing digits
00:12 We'll add the tens, and place in tens position
00:16 We'll place 0 in the missing digits
00:19 We'll add the hundreds, and place in hundreds position
00:21 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

957+    3776 \begin{aligned} &957 \\ +& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

We will solve the problem using vertical addition as follows:

  • Step 1: Align the numbers by their place values.
    957+    3 \begin{aligned} &957 \\ + &~~~~3 \\ \end{aligned}
  • Step 2: Add the digits starting from the rightmost side, which is the units column.

First, add the digits in the units place:
7+3=107 + 3 = 10.

Since 10 is composed of 0 in the units place and carry over 1 to the tens place, write 0 in the units place and remember to carry over the 1.

Next, move to the tens place and add up the digits, considering the carryover:
5+0+1=65 + 0 + 1 = 6.

Finally, add the hundreds place, which has no other digits to add:
9 9 (hundreds) \begin{aligned} & 9 \\ &\underline{ }\ \\ & 9 \quad\ (hundreds)\\ \end{aligned}

Summarizing, the addition yields the following:

957+    3776 960 \begin{aligned} \qquad\qquad &957 \\ + &~~~~3 \\ &\underline{\phantom{776}} \\ \quad\ &960 \\ \end{aligned}

Therefore, the result of adding 957 and 3 is 960\mathbf{960}.

The correct answer from the choices given is Choice 4: 960.

Thus, the correct solution to the problem is 960 960 .

3

Final Answer

960

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up numbers by place value before adding
  • Technique: Start from rightmost column: 7 + 3 = 10, write 0 carry 1
  • Check: Verify each column and final answer: 957 + 3 = 960 ✓

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 = wrong answer 95710! This ignores place value rules. Always write the units digit (0) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

+

When adding digits gives you 10 or more, you write the ones digit in that column and carry the tens digit to the next column. For example, 7 + 3 = 10, so write 0 and carry 1.

Why do I start adding from the right side?

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We start from the units place (rightmost) because any carrying affects the next column to the left. This ensures we handle all place values correctly.

What if there's no digit to add in a column?

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Treat missing digits as zero. In this problem, the tens place of 3 is really 0, so we add 5 + 0 + 1 (carry) = 6.

How do I know if I carried correctly?

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Check that each column sum makes sense: units: 7+3=10 (write 0, carry 1), tens: 5+0+1=6, hundreds: 9+0=9. Final answer: 960!

Can I add from left to right instead?

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It's much harder! You might need to adjust previous columns when carrying happens. Always work right to left for vertical addition.

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