Розмір відео: 1280 X 720853 X 480640 X 360
Показувати елементи керування програвачем
Автоматичне відтворення
Автоповтор
In the time you have written all the manipulations, you could have easily raised 5 to the 11th power and subtracted 9.
It said to simplify, not solve, without using a calculator.
5^11 = (5^11 * 2^11) / 2^11 = 10^11 / 2^11 = 1 000 000 000 00 / (2 * 1024) = 1 000 000 000 00 / 2048 = 488281255^11 - 3^2 = 48828125 - 9 = 48828116
Junior Math Olympiad: 5¹¹ - 3² = ?5¹¹ = (5³)(5²)⁴ = 125[(25)⁴] = 125[(25²)²] = 125(625²)625² = (600 + 25)² = 600² + 2(600)(25) + 25² = 360625 + 30000 = 390600 + 25125(625²) = (100 + 25)(390600 + 25) = 39060000 + 25(390600) + 2500 + 625 = 39063125 + (20 + 5)(390600) = 39063125 + 7812000 + 1953000 = 488281255¹¹ - 3² = 48828125 - 9 = 48828116
Are you sure that it wasn't be best to calcultate 5^11 directly ? 10 minutes to manipulate, without strong idea, 5^11-3^2...
It said to simplify, not solve.
{9 = 5 + 4}What is this, some rare theorem we've never heard of before? LOL.
Much of this solution requires a calculator unless you have the solution to 31 x 31 memorized, and other things like that.
Your approach does not seem any better than direct calculation. 5**11=[(5**3)**3]x25=125**3x25 ~ 4 multiplicationknowing 5**3=125 and 5**2=25. Much smaller # of multiplications with this no-brainer approach.
It said to simplify, not solve, without a calculator.
In the time you have written all the manipulations, you could have easily raised 5 to the 11th power and subtracted 9.
It said to simplify, not solve, without using a calculator.
5^11 = (5^11 * 2^11) / 2^11 = 10^11 / 2^11 = 1 000 000 000 00 / (2 * 1024) = 1 000 000 000 00 / 2048 = 48828125
5^11 - 3^2 = 48828125 - 9 = 48828116
Junior Math Olympiad: 5¹¹ - 3² = ?
5¹¹ = (5³)(5²)⁴ = 125[(25)⁴] = 125[(25²)²] = 125(625²)
625² = (600 + 25)² = 600² + 2(600)(25) + 25² = 360625 + 30000 = 390600 + 25
125(625²) = (100 + 25)(390600 + 25) = 39060000 + 25(390600) + 2500 + 625
= 39063125 + (20 + 5)(390600) = 39063125 + 7812000 + 1953000 = 48828125
5¹¹ - 3² = 48828125 - 9 = 48828116
Are you sure that it wasn't be best to calcultate 5^11 directly ? 10 minutes to manipulate, without strong idea, 5^11-3^2...
It said to simplify, not solve.
{9 = 5 + 4}
What is this, some rare theorem we've never heard of before? LOL.
Much of this solution requires a calculator unless you have the solution to 31 x 31 memorized, and other things like that.
Your approach does not seem any better than direct calculation. 5**11=[(5**3)**3]x25=125**3x25 ~ 4 multiplication
knowing 5**3=125 and 5**2=25. Much smaller # of multiplications with this no-brainer approach.
It said to simplify, not solve, without a calculator.