Grade+10+applied+objective+5

Hello and welcome. Today we will learn about objective 5:**__Table or spread sheet to solve probles__** *lightning strikes* There are about 4 problems for this objective (when I say //Problems// I mean Problem Base)*the varients in the problem are in //Italics*// -Problem base Number **//__1__//**: What is the unit digit when //one hundred seven 4s// are multiplied together? Use a table to organize the information (unit digit means the last number) A): 2;
 * 4^1 || 4^2 || 4^3 || 4^4 || 4^5 || 4^6 || 4^7 || 4^8 || ... || 4^107 ||
 * 4 || 8 || 12 || 16 || 20 || 24 || 28 || 32 || ... ||  ||

B): 4;
 * 4^1 || 4^2 || 4^3 || 4^4 || 4^5 || 4^6 || 4^7 || 4^8 || ... || 4^107 ||
 * 4 || 16 || 64 || 256 || 1024 || 4096 || 16384 || 65536 ||  ||   ||

C): 6;
 * 4^1 || 4^2 || 4^3 || 4^4 || 4^5 || 4^6 || 4^7 || 4^8 || ... || 4^107 ||
 * 4 || 16 || 64 || 256 || 1024 || 4096 || 16384 || 65536 ||  ||

D): 8;
 * 4^1 || 4^2 || 4^3 || 4^4 || 4^5 || 4^6 || 4^7 || 4^8 || ... || 4^107 ||
 * 4 || 8 || 12 || 16 || 20 || 24 || 28 || 32 || ... ||  ||

Now to figure it out... first of all we **KNOW** the answer isn't a) or d) (because we're __multiplying__ by 4, Not __adding__ by 4), so know we must figure it out between b) or c) it says to use a table, but you can use your calculater for this one step one: lets look at the last digit of each number and find a PATTERN. So the pattern is 4,6 and so on. Now step 2: take //107// and divide it by //two// .0 means its 6, 0.5 means its 4 107/2=53.5 There for the answer is B): 4;
 * __4__ || 1__6__ || 6__4__ || 25__6__ || 102__4__ || 409__6__ || 1638__4__ || 6553__6__ ||
 * 4^1 || 4^2 || 4^3 || 4^4 || 4^5 || 4^6 || 4^7 || 4^8 || ... || 4^107 ||
 * 4 || 16 || 64 || 256 || 1024 || 4096 || 16384 || 65536 ||  ||   ||

Thank you for coming here and learning -Emo_Nemo
 * NOW GO APPLY YOURSELF**