Units Digit of 4 Math Trick Question | SAT Prep | JusticeTheTutor #math #maths #shorts

[mecden]

I'd just go, "well, 6 is the closest to 854"

[kckcmctcrc]

Had to look up ‘Units digit’, have always called this the ‘ones digit’.

[jaezryl]

The first problem I usually encounter as a non-native english speaker is figuring out math terminologies. Like, what the hell is Units digit?

[Fillster]

I didn’t even know what a units digit was

[rosegocheva]

It's fun learning the terms in math in English. Your channel is great

[pradap]

I need reincarnation to learn math again

[melmelcatho]

I swear I'm learning more in YouTube shorts than in school 💀

[anderslvolljohansen]

4^854 = 16^427

Since 6×6=36, any time you multipy two integers that end with digit 6, the product will also end with 6. Multiplying the product by a third integer ending with 6 must therfore also result in a new product ending with 6, etc.

4^854 = 16^427 is the product of 427 integers all ending with digit 6 and must therefore also end with digit six.

[islamictv]

If even power of 4 = unit digit 4
If odd power of 4 = unit digit 6

[NastyG]

I can’t wait to use this in the real world!

[nishchaysharma]

When life is less about solutions but more about patterns.

[marianorodriguez]

Its clear that it is enough to check what happens mod 5, then:
4^854=(-1)^854=1
And the only possibility which is 1 mod 5 is 6.

[RealRabidRabbit]

I used to not like math at all. Now that I'm far beyond math in my studies, seeing these shorts every so often is actually very interesting!

[Abrushtofrin]

Bro, you are teaching me stuff that I will use years later

[MoneyTrees]

“Hmm, I haven’t picked D in a while so…”

[thomasjenkins]

Alright. You got me in this one. It took me three watches to understand what the question was asking.

[loheshwarmanivannan]

854 can be written 4n+2 so 4 power 4n+2 that is 4 power 2 =16 unit digit is 6

[Shadow_walker]

Use the division rule of 4 to divide last 2 digits of the power i.e - 54÷4 = (4×13) + 2 »remainder in remaider table for base 4 the remainder colomn or the Square column has 6 . Hence 6 is answer!

[ChoudhuryAdarshArnav]

There are patterns in the units digits of powers for several numbers. Here are some examples:

1. **Powers of 2:**
- The units digit follows a cycle: 2, 4, 8, 6.

2. **Powers of 3:**
- The units digit follows a cycle: 3, 9, 7, 1.

3. **Powers of 4:**
- The units digit follows a cycle: 4, 6.

4. **Powers of 5:**
- The units digit is always 5.

5. **Powers of 6:**
- The units digit is always 6.

6. **Powers of 7:**
- The units digit follows a cycle: 7, 9, 3, 1.

7. **Powers of 8:**
- The units digit follows a cycle: 8, 4, 2, 6.

8. **Powers of 9:**
- The units digit follows a cycle: 9, 1.

9. **Powers of 0 (except 0^0):**
- The units digit is always 0.

These patterns can be helpful when you need to quickly determine the units digit of a large power of a number.

[maitreyeehira]

Just divide the power with 4 .. remainder will be 2.. 4^2=16...unit digit =6 and if in any ques the remainder come 0 then unit digit will always be 1...