What is the criss cross method best used for compared to other fast multiplication techniques?

The criss cross method is best for any arbitrary pair of 2-digit numbers where no special shortcut applies — i.e., numbers that are not near 100, not multiples of 5, and not related by a simple ratio. For numbers near 100, the base method (Post 24) is faster. For numbers one of which is 11, 25, or 125, the special shortcuts (Posts 07, 22) are faster. The criss cross method is the universal fallback that covers all remaining cases, making it the most broadly applicable 2-digit multiplication technique in the mental math toolkit.

How long does it take to learn the criss cross method for multiplying two digit numbers?

Most students understand the criss cross method in a single 20-minute session. Getting to confident, error-free answers for any 2-digit pair typically takes 1–2 weeks of daily practice (5–10 minutes per day). Getting to under-5-second speeds for all cases takes 3–4 weeks. The fastest path is: practise easy cases first (where carries are zero or small), then progress to harder cases with large digits and double-digit cross products. Building the criss cross habit on top of a strong number bonds foundation (covered in Post 08) significantly speeds up the learning curve.

The Criss Cross Method for Multiplying Two Digit Numbers Fast | MentalMathChampions.com

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✕ Criss Cross · Post 25

The Criss Cross Method for Multiplying Two Digit Numbers Fast

Q: What is the criss cross method for multiplying two digit numbers fast?

The criss cross method multiplies two 2-digit numbers in three steps: (1) multiply the units digits — this gives the rightmost digit(s); (2) cross-multiply — multiply the tens digit of each number by the units digit of the other, add both products — this gives the middle digit(s); (3) multiply the tens digits — this gives the leftmost digit(s). Combine the three results, carrying as needed. For 34×52: units 4×2=8; cross 3×2+4×5=6+20=26; tens 3×5=15. Answer: 15|26|8 = 1,768.

Q: Why is the criss cross method faster than standard long multiplication for two digit numbers?

Standard long multiplication for two 2-digit numbers requires writing out two rows and adding them — typically 6–8 individual multiplications plus addition and carrying across two rows. The criss cross method compresses this into 5 individual multiplications (units×units, two cross products, tens×tens) done in a single left-to-right pass. There is no second row to write. Each step produces one segment of the final answer directly, so the method has a lower working memory load and fewer opportunities for transcription errors.

Q: How do you handle carrying in the criss cross method?

In the criss cross method, each of the three steps can produce a multi-digit result. The rule is: write down the rightmost digit of each step's result, carry the remaining digits forward to add to the next step. For example in 47×68: units 7×8=56 (write 6, carry 5); cross 4×8+7×6=32+42=74, plus carry 5=79 (write 9, carry 7); tens 4×6=24, plus carry 7=31 (write 31). Answer: 3,196. Practising the carry discipline — always right-to-left when assembling — is the key skill to build.

📖 9 min read🎯 6 TOC sections❓ 6 FAQs🧠 25-Q Quiz

At a Glance

Steps 3 only

Works For Any 2×2 digits

Vedic Name Urdhva-Tiryak

Speed 3–5 seconds

Ashwani Sharma · Mental Math, Abacus & Vedic Math Trainer and Expert|June 22, 2026

🧠 Quiz: The Criss Cross Method

Question 1 of 25

⚡ Quick Answer

The criss cross method for multiplying two digit numbers fast works in 3 steps: (1) multiply units digits; (2) cross-multiply and add both products; (3) multiply tens digits. Combine with carries. For 34×52: units 4×2=8; cross 3×2+4×5=26; tens 3×5=15. Answer: 1,768.

Most students learn one method for multiplying two 2-digit numbers: write the numbers, do two rows of multiplication, add with offset. It works, but it is slow — six to eight individual multiplications, two rows of writing, and a final addition. For mental arithmetic, this is too much to track reliably.

The criss cross method compresses all of that into a single left-to-right pass with three steps. It is the universal 2-digit multiplication technique — and unlike the base method from Post 24, which only works near 100, or the ×11 trick from Post 07, which applies to one specific multiplier, the criss cross method handles every possible pair of 2-digit numbers.

1. How the Criss Cross Method for Multiplying Two Digit Numbers Works

Write two 2-digit numbers as AB × CD (where A, B are the digits of the first number and C, D are the digits of the second). The criss cross method identifies three groups of digit products:

Tens₁

Units₁

Tens₂

Units₂

Step 1 (Right)
B × D
units × units

Step 2 (Middle)
A×D + B×C
cross products

Step 3 (Left)
A × C
tens × tens

Combine right-to-left, carrying as needed → answer appears left-to-right

2. Criss Cross Method Step by Step — Complete Worked Examples

📋 Step-by-Step: Criss Cross Method for 34 × 52

Units × Units (rightmost digits)
4 × 2 = 8. No carry. Write 8 as the rightmost digit.

Cross products (middle digits)
Tens₁ × Units₂ + Units₁ × Tens₂ = 3×2 + 4×5 = 6 + 20 = 26. Write 6, carry 2.

Tens × Tens (leftmost digits)
3 × 5 = 15, plus carry 2 = 17. Write as leftmost digits.

✓

Combine: 17 | 6 | 8 = 1,768
Read left-to-right. Each segment slots into its place directly.

More criss cross method examples — two digit numbers fast

23 × 41: Step1: 3×1=3 | Step2: 2×1+3×4=2+12=14 (write 4,c1) | Step3: 2×4+1=9

9|4|3 = 943 ✓

Criss cross with larger digits

67 × 89: Step1: 7×9=63 (write 3,c6) | Step2: 6×9+7×8=54+56=110+6=116 (write 6,c11) | Step3: 6×8+11=48+11=59

59|6|3 = 5,963 ✓ (verify: 67×89=67×90−67=6,030−67=5,963 ✓)

3. Mastering Carries in the Criss Cross Method for Two Digit Numbers

The carry discipline is the single most important skill to develop for the criss cross method. Every step can produce a 2-digit result — and you must carry the tens digit forward to the next step. The mental path is always right-to-left for assembly, even though you will eventually read the answer left-to-right.

Criss cross method — tracking carries for 47 × 68

Step 1: 7×8 = 56 → write 6, carry 5

Step 2: 4×8+7×6 = 32+42 = 74, + carry 5 = 79 → write 9, carry 7

Step 3: 4×6 = 24, + carry 7 = 31 → write 31

Answer: 31|9|6 = 3,196 ✓

The Three-Carry Rule for the Criss Cross Method

When multiplying any two 2-digit numbers using the criss cross method, the maximum carry at any step is bounded:

Step 1 carry: at most 8 (since 9×9=81, carry 8)
Step 2 carry: at most 17 (since 9×9+9×9+8=170, carry 17 — but typically 8 to 12)
Step 3 final value: always 1 to 4 digits (the complete left segment)

Knowing these bounds prevents the common mistake of “losing” a carry because you didn’t expect a 2-digit one. When the cross products sum is 100 or more, the carry to Step 3 is 10 or more — a full 2-digit carry. This is normal and expected for multiplications involving large digits (7, 8, 9).

💡 Expert Tip

Ashwani Sharma Mental Math, Abacus & Vedic Math Trainer

The “Say It Aloud” Carry Habit That Prevents 90% of Criss Cross Errors

In my experience teaching the criss cross method for multiplying two digit numbers, nearly all errors come not from wrong multiplication but from dropped carries. The fix is simple: always say the carry aloud before moving to the next step. After Step 1, say “write X, carry Y” before touching Step 2. After Step 2, say “write P, carry Q” before Step 3. This verbal externalisation keeps the carry in working memory without competing with the multiplication you are about to do. Students who adopt this habit consistently make far fewer errors and reach reliable speed roughly twice as fast as those who track carries silently.

— Ashwani Sharma, MentalMathChampions.com

4. Criss Cross Method Fast Cases — When Multiplying Two Digit Numbers Takes Under 3 Seconds

Not all 2-digit multiplications are equally hard for the criss cross method. Certain digit patterns make one or more steps trivially easy, allowing the whole calculation to complete in under 3 seconds.

Fast Case 1 — One number is a teen (10–19): The tens digit is 1, so Step 3 is just the other number’s tens digit, and the cross product simplifies. For 13×47: Step1: 3×7=21 (write 1, c2); Step2: 1×7+3×4=7+12=19+2=21 (write 1, c2); Step3: 1×4+2=6. Answer: 611.

Fast Case 2 — Both numbers have the same tens digit: The criss cross pattern becomes very clean. For 43×47: units 3×7=21; cross 4×7+3×4=28+12=40; tens 4×4=16. Result: 16|40|21 = wait: 16|4|1 (with carries) = 2,021. (This is also a special case: same tens digit + units summing to 10 — the ×5-ending shortcut from our Post 12 squaring method.)

Fast Case 3 — One number ends in 0: Step 1 = 0, no carry. For 30×47: Step1: 0; Step2: 3×7=21; Step3: 3×4=12+2=14. Answer: 1,410.

5. The Criss Cross Method and Vedic Maths — Urdhva-Tiryak Sutra

The criss cross method is the two-digit application of the Urdhva-Tiryak (Vertically and Crosswise) sutra from Vedic mathematics. “Urdhva” means vertical — the end products (Step 1 and Step 3) are vertically aligned digit products. “Tiryak” means diagonal or crosswise — Step 2 is the diagonal criss-crossing of the middle digits.

The power of the Vedic framework is that the same criss cross pattern extends naturally to 3-digit and 4-digit multiplication by adding more cross-product groups. The Vedic math article from Post 18 covers the broader sutra family in detail. The criss cross method you learn here is the foundation of that entire system.

This also connects to the complete 2-digit multiplication guide from Post 11, which covers complementary methods. Having both in your toolkit — the criss cross for arbitrary pairs, the base method for numbers near 100 — gives you full coverage of all 2-digit multiplication scenarios.

6. How to Practise the Criss Cross Method for Multiplying Two Digit Numbers

The criss cross method has three learning stages, each taking about one week with daily practice of 5–10 minutes:

Week 1 — Zero-carry practice: Practise multiplications where every step gives a single-digit result. These include pairs like 11×13, 12×22, 21×24. These “no-carry” cases let you build the three-step rhythm without the complication of tracking carries.

Week 2 — Single-carry practice: Move to pairs where one step produces a carry. Include all the “teen times anything” cases (1x × ab). At this stage, use the verbal “write X, carry Y” habit from the Expert Tip.

Week 3 — Full practice: Any random pair of 2-digit numbers. Target: correct answer within 8 seconds. Use the daily routine framework from Post 05 and verify answers with the estimation check from Post 19.

🧩 Quick Practice Challenge

Q1. Use the criss cross method: 32 × 21 = ?

Step1: 2×1=2. Step2: 3×1+2×2=3+4=7. Step3: 3×2=6. Answer: 672.

Q2. Try with a carry: 43 × 56 = ?

Step1: 3×6=18 (write 8, c1). Step2: 4×6+3×5=24+15=39+1=40 (write 0, c4). Step3: 4×5+4=24. Answer: 2,408.

Q3. Large digits: 78 × 69 = ?

Step1: 8×9=72 (write 2, c7). Step2: 7×9+8×6=63+48=111+7=118 (write 8, c11). Step3: 7×6+11=42+11=53. Answer: 5,382.

❓ Frequently Asked Questions

What is the criss cross method for multiplying two digit numbers fast?+

Three steps: (1) multiply units digits; (2) cross-multiply (tens₁×units₂ + units₁×tens₂); (3) multiply tens digits. Combine right-to-left with carries. For 34×52: 4×2=8; 3×2+4×5=26; 3×5=15+carry → answer 1,768. Works for any pair of 2-digit numbers.

Why is the criss cross method faster than standard long multiplication?+

Standard long multiplication uses 6–8 digit multiplications across two rows. The criss cross method uses 5 multiplications in a single pass (B×D, A×D, B×C, A×C — with the middle two added). No second row, no row-offset addition. Lower working memory load and fewer error points.

How do you handle carrying in the criss cross method?+

Write down the rightmost digit of each step’s result, carry the rest forward. Say “write X, carry Y” aloud after each step. In 47×68: Step1=56 (write 6, carry 5); Step2=74+5=79 (write 9, carry 7); Step3=24+7=31 (write 31). Answer: 3,196.

Is the criss cross method the same as Vedic math Urdhva-Tiryak?+

Yes — the criss cross method is the practical teaching form of Urdhva-Tiryak (Vertically and Crosswise). The Vedic framework extends the same pattern to 3 and 4-digit multiplication by adding more cross-product groups in the middle.

What is the criss cross method best used for?+

Any 2-digit pair where no special shortcut applies — i.e., not near 100 (where the base method is faster), not ×11 or ×25 (where single-trick shortcuts apply). The criss cross is the universal fallback that covers all remaining cases and is the most broadly applicable 2-digit technique.

How long does it take to learn the criss cross method for two digit numbers?+

The method is understood in a single session. Error-free answers for any 2-digit pair: 1–2 weeks daily practice. Under-5-second speeds: 3–4 weeks. Start with zero-carry cases (teens, small digits), progress to single-carry, then full random pairs.

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