Intuitively speaking, how many times does half of a thing fit into a quarter of a thing? The answer is, exactly one half time.
How many halves fit into a quarter? Half of them
That’s exactly how I think of it, so strange someone downvoted you
✅ Math is hard
❌ This math is hard
0.25 / 0.5 = 0.5
0.25 = 0.5 × 0.5
1/4 = 1/2 × 1/2p/q=q
So q=√p
Works with a lot of numbers ☝🏻🤓
Ehhh |q| = √p but close enough
Divide by 1/2 or multiply with 2/1. Its an equivalent transformation.
25/5=5
2.5/0.5=5
o.O
I think, it is the real world logic that makes it hard to grasp. If you divide something with something small it becomes bigger. Mathematically it’s easy and makes sense, but it it’s somehow not intuitive. Especially for young me :)
That’s the same as 2/2=1 3/3=1 268/268=1 …
Multiplication of x times 6:
x * 6 = 1/2 x * 10 + x
This can sometimes be a shortcut for numbers that are easier to divide by 2 than to multiply by 6.
Take half as tens and add the number.
6 * 6 = 30 + 6 = 36
8 * 6 = 40 + 8 = 48
150 * 6 = 750 + 150 = 900
320 = 1600 + 320 = 1920
Etc.
Sleep well.
Sonan extension of the x * 5 = x/2 * 10 shortcut
I worry that people who can get onto the internet find fractions a challenge.
This don’t avoid to sleep not even for 1/2 second. But pick any number. If that number is even, divide it by 2. If it’s odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you’ll eventually end up at 1.
You can’t prove that!
Yes, but everyone tried since a century to find a number with which it don’t work, good to avoid sleep.
(1/4) ÷ 1/2 = 2/4 = 1/2 = 0.5
Shut up and take my upvote!
x / sqrt(x) = sqrt(x)
Damn who would’ve thought?
N / 1/2 = 2N/2 = 2N
Please use parenthesis to avoid ambiguity. N/1/2 could also mean N/2…
(Also I think you made a typo “2N/2” should be “2N/1”)
You have one apple. You divide it into quarters, so that you have 0.25 of an apple. Now divide it in half. So yes well technically you do have one half of 0.25 (and 0.5 is the answer that a calculator will return) what you actually have is 1/8 of an apple (0.125).
This is what pisses me off about Matt half the time. You end up with something that in the abstract makes sense because it’s just numbers, but then if you try to make it make sense in real life it’s stupid.