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Continue Learning about Algebra

What number is six less than three hundred and one?

301 - 6 = 295


If you write down all the numbers between 300 to 400 how many times will you write the digit 3?

118 The following from rjsiekman; Think of it as the number of times the 3 will be written in the hundreds, tens, and ones column. This analysis assumes whole numbers; otherwise you can write a 3 an infinite number of times. In the hundreds, 301.....399 is 99 (because it is stated the numbers between 300 & 400; 300 is not included). In the tens, 3 will be written for 330....339 which adds another 10. In the ones, 3 will be written for 303, 313....393 which adds another 10. So, in total, the 3 will be written 119 times.


What two numbers multiply to 294 and add up to 7?

301


What are the different types of special products?

In mathematics, special products are of the form:(a+b)(a-b) = a2 - b2 (Product of sum and difference of two terms) which can be used to quickly solve multiplicationsuch as:301 * 299 = (300 +1)(300-1) = 3002 - 12 = 90000 - 1 = 89999types1. Square of a binomial(a+b)^2 = a^2 + 2ab + b^2carry the signs as you solve2. Square of a Trinomial(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bccarry the sings as you solve3. Cube of a Binomial(a+b)^3 = a^3 + 3(a^2)b + 3a(b^2) + b^34. Product of sum and difference(a+b)(a-b) = a^2 - b^25. Product of a binomial and a special multinomial(a+b)(a^2 - ab + b^2) = a^3-b^3(a-b)(a^2 + ab + b^2) = a^3-b^3


What is 2 to the 1000th power?

Or, in other words, 2 x 2 x 2 x ... x 2, with 1000 factors of 2. My Windows calculator gives 1.07150860718626732094842504906e+301. For those who don't have a calculator that can calculate such large numbers, there's the ever-familiar formula ax = ex ln a, or if you prefer, ax = 10x log a. So find the common (base 10) log of 2, and multiply it by 1000; this is the power of 10. If you get something like 1053.142 - which you most likely will - then that is 1053 x 100.142; just evaluate 100.142 and you will get a number between 1 and 10; and multiply that by 1053 (for example).