I found this simple multiplication trick that helps you solve math problems easily. Take the mental math challenge and give it a try!
"Nice Multiplication Trick” by MathssMagic is a Facebook reel that inspired me to find out "how" this procedure works. https://www.facebook.com/reel/1024458450196982
1. Let me explain...
Watch the reel calculate these numbers:
· (51 x 41=2,091)
· (31 x 61=1,891)
· (51 x 21=1,071) Try this one yourself…
This trick is very easy because you simply multiply the tens digits and use a simple pattern to get the answer. It works when both numbers end in 1 and its relationship between numbers.
Let's use (51 x 41).
Multiply the ones digits: (1 x 1=1).
Add the tens digits: (5+4=9). This provides the middle digits
Multiply the tens digits: (5 x 4=20). This gives the starting part of the answer - with carry adjustments.
Answer: 2,091
Does this works only when there is a 1 in the ones column? What if the last
number is not 1? Let’s find out…
This is the algebraic formula that makes this shortcut work:
[ (10a+1)(10b+1) =100ab+10(a+b)+1 ]
Here, (a) and (b) are the tens digits. For (51 x 41), they are 5 and 4:
[ 100(5 x 4)+10(5+4)+1 ]
[ =2000+90+1= {2091} ]
The math works when both numbers end in 1. However, you cannot always write the tens product, the sum, and the ones product side by side and get the problem to work. You must account for place value and carries.
2. Let’s see what happens if the last digit is NOT 1?
This trick will work for other numbers ending in other digits, but you need additional multiplication and addition.
For example, calculate 52 x 43 = ? ?
Step 1 — Multiply the tens digits:
[ 50 x 40=2000 ]
Step 2 — Cross-multiply and add
[ (5 x 3)+(2 x 4)=23 ]
Step 3 — Multiply the ones digits
[ 2 x 3=6 ]
Step 4 — Combine by place value
[ 2000+230+6={2236} ]
Check with simple multiplication: (52 x 43=2236). It works!
The general formula for two-digit numbers is:
[ (10a+b)(10c+d) =100ac+10(ad+bc)+bd ]
The simply multiplication method (trick or shortcut) still works even if the last number is not 1, if you handle carries correctly when combining the parts.
3. Mental Math Challenge
Let’s work this problem together before revealing the answer...
64 × 32 = ? ?
Step 1 — Multiply the tens digits:
[ 60 x 30=1800 ]
Step 2 — Cross-multiply and (Step 3) add:
[ (6 x 2)+(4 x 3)=24 ]
[ 4 x 2=8 ]
Step 4 — Combine by place value:
(60 x 30) = 1800
(23 x 10) = 240
(2 x 4) = 8
[ 1800+240+8={2048} ]
Check with simple multiplication: (64 x 32=2,048). It
works!
4.
Try the trick yourself!
Calculate this problem using the mathematical steps shown above…
57 × 26 = ? ?
Step 1 — Multiply the tens digits:
[ _ _ x _ _ = _ _ _ _ ]
Step 2 — Cross-multiply and (Step 3) — add:
[ ( _ x _ ) + ( _ x _ ) = _ _ ]
[ _ x _ = _ ]
Step 4 — Combine by place value:
( _ _ x _ _ ) = _ _ _ _
( _ _ x _ _ ) = _ _ _
( _ x _ ) = _
Check your answer with simple multiplication: (57 x 26 = _______ ).
The video demonstrates a special shortcut for two-digit numbers ending in 1. When the ones digits differ from 1, you can still use the same underlying principle, but you must include the cross-products and correctly manage the carries.
5. Life Lessons
Just as a mathematician use products, place values, and carries to calculate
math problems, sometimes life situations can be made easier by learning new
ways of doing things and improving yourself. This often requires some extra
work or additional steps to accomplish your goals. Be prepared and adjust for
changing life situations.
Easy to count. Hard
to build. Keep going.
Some things in life are easy to count.
Show up. Work hard. Get better.
One plus one.
But the
things that matter most -
They’re like cross-multiplication!
A
relationship isn’t just love plus time.
It’s trust times patience.
Forgiveness times growth.
A dream
isn’t just talent plus luck.
It’s discipline times consistency.
Courage times failure.
That’s
why it feels messy.
That’s why it takes extra steps.
That’s why you carry things you didn’t plan for.
But
complicated doesn’t mean wrong.
Complicated means it’s real.
Keep multiplying.
Don’t
quit because the math got hard.
Keep showing up.
The answer is still coming…
Bam!
Not Affiliated with Any Publisher or Vendor... Some references Provided by ChatGPT...




