Article: The length of the carrot should be against the side of the grater. Make sure to keep your fingers and hands away from the sharp edges of the grater.
Question: What is a summary of what this article is about?
Peel your carrots. Hold a box grater in your non-dominant hand and a peeled carrot in your dominant hand. Place the carrot against the side of the grater that has the smallest holes. Grate the carrot using a downward motion. Discard the carrot piece when it becomes so small that you can no longer grasp it as you shred. Repeat the process with additional carrot pieces until all of your carrots are shredded.
Article: For example, 120 × 120 =  Count the total number of zeros on the end. (In this case, 2). Do the rest of the problem.  12 × 12 = 144 Append the number of zeros counted to the end of the number;   14400 You might then be able to use some of the techniques below.  For example: Instead of 14 × 6  break 14 down into 10 and 4, and multiply both by 6, then add them together...14 × 6 = = 6×(10 + 4) = (10 × 6) + (4 × 6) = 60 + 24 = 84. For example:  Instead of: 35 * 37 = ?  do this: 35 × (35 + 2) =  =  352 + (2 × 35) = 1225 + 70 = 1295 Using; 352 = ?  Ignoring the 5 on the end, multiple the number (3) by the next highest number (4).   3 × 4 = 12 Append 25 to the end of the number.  1225 Using 412 = ? and 392 = ?  Figure the square you already know.  402 = 1600 Decide if you need to add or subtract. You will add with a larger square and subtract with a smaller one. Add the original number that was squared to the next number to be squared.  40 + 41 = 81  40 + 39 = 79. Make the addition or subtraction.  1600 + 81 = 1,681  --->   412 = 1,681  1600 - 79 = 1,521   ---->   392 = 1,521  This only works for numbers one unit above or below the original. Using 39 × 51 = ?  Find the number that is equidistant of both numbers.  In this case, 45, which is 6 away from both numbers. Square that number.  452 = 2025 Square the distance the numbers are from the central number.  62 = 36 Subtract that number from the first square.  2025 - 36 = 1989  If you have taken algebra, the formula is expressed as:  51 × 39 = (45 + 6)×(45 - 6) = 452 -6 2( x + y )×( x - y ) = x2 - y2  For a more complete explanation, see How to How to easily solve math problems using difference of squares. Using 25 × 12 = ?  Multiply by 100 by appending two zeros to the end of the other (not 25) number.  25 × 12   1200 Divide by 4.  1200 ÷ 4 = 300  25 × 12 = 300 For more details, see How to Multiply by 25 in your head.
Question: What is a summary of what this article is about?
Manage numbers ending in 0 (zero). Use the distributive property of multiplication to convert difficult to multiply numbers to easy to multiply numbers. Square numbers ending in 5 (five). Square numbers one less or more than a square you already know. Simplify multiplication by using "Difference of Squares". Multiply by 25.
Article: So you have a diamond pickaxe, a fortress the size of New York, and enough ore to make Scrooge McDuck envious. Now's the time to get serious. Enchant your pickaxes to improve their mining ability. Here are all enchantments available for tools:  Fortune (max level III) increases the amount of ore you get per block. If you are lucky enough to get this one, save it for the extra-valuable ore only. Note that you cannot get Fortune and Silk Touch on the same item. Silk Touch (max level I) mines entire blocks instead of ore. You'll need to mine the ore with a different pick to get the ore, but this does save on inventory space. It can be more valuable than Fortune if you're on a large multiplayer server and plan to sell the blocks.  Efficiency (max V) speeds up mining and Unbreaking (max III) increases durability. . Once you have diamond armor and a diamond sword, you may be ready to build a Nether portal. The area on the other side has several new blocks to mine, notably Nether quartz. There's nothing unusual about the mining itself, but be prepared to face very difficult enemies. . If you don't mind laying tracks and tinkering with redstone, you can make your own subway system to transport goods. By digging branches off of the main subway tunnel, you can stay near your tracks and never run out of inventory space. See the linked article for details. Strongholds are the rarest and most valuable structures that show up underground. Look for mossy or cracked stone, which could potentially lead to a system of libraries, prisons, and chests. Each stronghold has an End portal which can be activated to reach a special endgame zone. You can find the strongholds using eyes of ender, gathered from the Nether. This technique is complex, dangerous, and requires a great deal of preparation. Most players will never even consider attempting this, but if you pull it off, you can mine incredibly quickly. Here's the gist:  Enchant armor with at least Protection I. Brew splash potions of poison and regeneration. Attract silverfish from the spawner found next to End portals. Construct a tunnel of glass so they can follow you without burrowing to you. Prepare a high glass walkway in the next area you plan to mine. Build two Nether portals here, one for you on the walkway and one for the silverfish below you. Lure the silverfish through a Nether walkway to the portal you just built, so they reach the area you plan to mine. Throw splash potions of poison and regeneration on the crowd of insects. They will get hurt constantly but heal before they die, summoning more silverfish from the stone around them. In just a minute or two, the silverfish will mine through a massive area of stone, leaving the ore behind.
Question: What is a summary of what this article is about?
Enchant your pickaxe. Mine in the Nether Transport your loot with an automatic subway Attack strongholds. Make silverfish mine for you.