Thanks Math Queen.You're awesome!
Good stuff. When in restaurants and I want to leave 20% tip, I move the decimal point then I double the amount. I have a lot of Nantradol in me too!
Keep up the great explanations! I appreciate it when you slow down a bit, so we can absorb what you just did. I keep saying, you not skipping steps in your explanations is so great. Some instructors will perform a step where a number is changed and don't explain why "415 is now 86", (just made-up numbers as an example), and it shows off understanding the rest of what they're explaining. Thanks for you work!
I didn't know about the switching mechanic or the fraction stuff! What I would do in the case of 19% of 50$ would be to calculate 10% twice and remove 1%: 0.1x50=5; 5x2=10; 0.01x50=0.5; 10-0.5=9.5.
Move the decimal LEFT two places; then multiply by percentage VALUE. -- 20% of 360 --> 3.60 x 20 = 72 (dollars) -- 18% of 400 --> 4.0 x 18 = 72 (meters) -- 4% of 7 --> 0.07 x 4 = 0.28 (kilograms) -- 107% of 1200 --> 12.0 x 107 = 1284 (dollars) -- 52% of 1250 --> 12.5 x 52 = 650 (meters)
107% of 1200 is just the base increased by 7% or 1200 + 7x12 because the hundreds cancel = 1200 + 84 = 1284
Thanks for the lesson!
Lol 😂62 and still learned something. Did the calculation different, no problem! But must say like the ‘decimal’ moving and last switch one!
The last tip was both blindingly obvious and something that even after decades of life had never dawned on me.
9.5 in my head in about 7 seconds or less. In my head I quickly figure out what 10 and 1 percent are. 10% of 50 is 5 and 1% is .5. 19% is the same as 10 and 9 1%s. 5+9x1.5= 5+4.5=9.5. Sounds and reads much harder than it is.
For 107% I just added 100% of 1200 to 7 times 12 which equals 1284
Steps all can be done in my head: 20% of $360 (tip calculation) 20% is double 10% 10% of $360 is $36 2x$36 = $72 18% of 400m Trick: 18% of 400m = 400% of 18m 400% means x4 (x2 twice) 18x2 = 36m 36x2 = 72m 4% of 7 kg No tricks needed, small numbers 4x7=28 % means divide by 100 So = .28kg 107% of $1200 =1200% of $107 =12×$107 = 12x$100 + 12x$7 =$1200 + $84 =$1284 52% of 1250m 50% of 1250 + 2% of 1250 625m + 2500/100=25m = 650m 19% of $50 =50% of $19 =$9.50
Another trick in doing percentages is that n% of p = p% of n So, 16% of 25 = 25% of 16 a person might not be able to get the answer quickly when asked to solve 16% of 25, but quicker the other way around Let's show why 16% of 25 = 16/100 * 25/1 (16* 1/100) * 25/1 (16/1 ) * 25/100 So we got 25/100 , which is 25% as anything over 100 is the percentage 16 * 25% or 25% of 16. We know one quarter of 16 is 4 much easier than trying to find 16% of 25 another example 6% of 50 = 50% of 6 It may be easier to find 50% of 6, or half of 6 = 3, than finding 6% of 50 the reason of course is that n/100 * p can be written as n * 1/100 * p and 1/100 * p can become p/100 thus n/100 * p = p/100 * n . And when we see anything over 100, it is 'percentage' 2% of 100 = 100% of 2 This is easier as we know 2% of 100 = 2 But, also , 100% of 2 = 2
I just break it down by 10% or 1% because anyone can do that math, it's just moving the decimal point. Then you just sum them up. 18% of 400 is just 10% of 400 (40) + 10% of 400 (40) - 1% of 400 (4) - 1% of 400 (4). 80 - 8 = 72.
19% of 50: 20% of 50 is 10 and 1 % of 50 is 0,5, 10-0,5=9,5%
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Now there might be a problem with calculating in my head if I have different voices in my head coming up with different answers. 😛
For the last example, I took 1% of $50 = 0.50, then multiplied by 19 to get the $9.50. I like your way better though.
Dang...I wish she was my math teacher in HS or college...
@MathQueenSusanne