Long Multiplication Tutor

Enter your numbers and practice long multiplication step by step, with help whenever you need it.

Start a Long Multiplication Problem

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Whole numbers only. Up to 8 digits per number. The multiplier must be at least 1.

How to Use This Long Multiplication Tutor

  1. Enter Your Problem

    Enter a multiplicand and multiplier, then click Start Multiplication.

  2. Multiply One Digit at a Time

    Start with the ones digit of the multiplier. Follow the highlighted numbers and enter the complete product for each step.

  3. Work Through Carrying

    The tutor separates the digits of your product and shows any carry. When a carry needs to be added, work out the sum yourself.

  4. Build the Partial Products

    Complete one partial-product row before moving to the next digit of the multiplier. Each row follows the place value of that digit.

  5. Add the Partial Products

    When all partial products are complete, add them column by column. The tutor guides you through any additional carrying and displays the completed vertical multiplication when you finish.

This step-by-step multiplication practice keeps each partial product aligned by place value. Need help? Select Show Me One Step to complete only your current step, then continue solving the problem yourself.

See How Carrying Works

Instead of keeping carries in your head, follow each product as the tutor separates its digits and shows where the carry goes. You still do the arithmetic yourself.

39 × 9

1. Multiply

9 × 9 = 81

Students calculate and enter the complete product.

2. Split and Carry

The tutor places 1 in the ones column and carries 8 to the next column.

3. Add the Carry

3 × 9 = 27
8 + 7 = 15

The tutor places 5 in the tens column and shows the remaining digits for the next calculation.

4. Complete

2 + 1 = 3
39 × 9 = 351

The completed multiplication is 351.

Long Multiplication Example: 247 × 36

247 × 6 = 1482 247 × 30 = 7410 1482 + 7410 = 8892
247 × 36 ------- 1482 7410 ------- 8892

First, multiply 247 by 6 to get 1482. Then multiply 247 by 3 tens to get 7410. Add the two partial products to find the final answer, 8892.

The 3 in 36 represents 3 tens, so the second partial product is shifted one place to the left.

Tips for Learning Long Multiplication

  • Start with a one-digit multiplier before trying larger problems.
  • Pay attention to the highlighted digits in each step.
  • Enter the complete product before working through carrying.
  • Keep each partial product aligned with its correct place value.
  • Use Show Me One Step when you get stuck.
  • Check your completed vertical multiplication when you finish.

For Parents and Teachers

This tutor is designed for step-by-step practice with standard vertical multiplication. Students complete the calculations themselves instead of only seeing a final answer. The highlighted digits and guided prompts help students track the current multiplication, carrying in multiplication, partial products, and final addition. It can support classroom demonstrations, after-school practice, and at-home tutoring for multi-digit multiplication.

Its guided format makes interactive multiplication practice practical for a short demonstration or independent work.

FAQ

Does this tutor show every step?

Yes. Students work through each multiplication step, necessary carrying, each partial product, and the final addition.

How many digits can I enter?

Each number can have up to eight digits. The multiplicand can be 0–99,999,999, and the multiplier can be 1–99,999,999.

How does the tutor help with carrying?

Students first enter the complete product for the highlighted digits. The tutor splits the digits and shows the carry. If a carry needs to be added, the student completes that addition step.

Can I practice multiplication with zeros?

Yes. The tutor supports a multiplicand of zero, zeros inside either number, and zeros inside the multiplier. The multiplier itself cannot be zero.

What does Show Me One Step do?

Show Me One Step completes only the current step. It does not finish the whole problem at once.

Can I enter decimals or negative numbers?

No. This version supports non-negative whole numbers only. It does not support decimals, negative numbers, or scientific notation.

What Is the NDED Long Multiplication Tutor?

The NDED Long Multiplication Tutor is a free interactive tool that helps students practice vertical multiplication step by step. Instead of showing the answer immediately, it lets students calculate each product, see how carrying works, build partial products, and complete the final addition themselves.

Long Multiplication Tutor vs. Multiplication Calculator

A multiplication calculator gives you the result of a problem. The NDED Long Multiplication Tutor is designed for practice: you enter each product, work through carrying, and complete the partial products and final addition yourself.