INPUT ARTICLE: Article: For example, 57.01 is large than 46.99 because the whole number components of the decimals are the first place to check when comparing the values.  No matter how many digits are to the right of the decimal, if the value to the left of the decimal point for one number is larger than the value for another number with decimals, the first number is larger.  Here is another example. Comparing 55.95 with 57.28, because 57 is larger than 55, 57.28 is larger than 55.95. One more example: Comparing 42.349 with 47.32, because 47 is larger than 42, 47.32 is larger than 42.349. If the numbers to the left of the decimal point are the same, compare the digits to the right of the decimal point to see which decimal is the larger number.  When the number of digits is different, this can be tricky. Comparing 12.57 and 12.75, because 75 is larger than 57, 12.75 is larger than 12.57. (You can also look at just the first digits after the decimal points; because 7 is larger than 5, you again see that 12.75 is larger than 12.57.) Comparing 14.92 and 14.092, you can see that the second decimal has three digits after the decimal point. However, by looking at the first digits only, you see that 9 is larger than 0, so 14.92 is larger than 14.092. You can also write a zero after the “2” in 14.92 to make it 14.920; because 920 is larger than 92, again 14.92 is the larger number.

SUMMARY: Compare the numbers to the left of the decimal point. Compare the numbers to the right of the decimal point.

In one sentence, describe what the following article is about: Your body needs time to store the water, and trying to chug a water bottle right before you leave is ineffective and uncomfortable. Aim to drink one glass of water every hour up until you set out on your run.  You need to drink water to stay hydrated and energized. Aim for 8-16oz of water 1-2 hours before running. You don't need to eat a lot unless you plan on running more than 12-13 miles. A bagel with honey or jam, a granola bar and fruit, or a peanut butter and jelly sandwich will provide fuel that your body can digest quickly. Avoid slow to digest foods like thick pasta sauces, fried foods, or cheeses. Aim for a simple combination of carbohydrates (bagel, toast, granola, oatmeal), natural sugar (jelly, banana, apple, honey), and protein (peanut butter, yogurt, grilled chicken). This is especially important if you are just beginning to run regularly. Use a map or a running specific app, like MapMyRun, to plan out a route that works for you. A good start for your first few weeks is 20-30 minutes, running 2-3 miles at a time. As you progress, listen to your body -- if your muscles and joints are hurting after every run, slow down and do less mileage until you are better prepared. You should wear light, breathable clothing that doesn't trap sweat. If you are going for a short run, then a cotton shirt will be fine, but you should use synthetic athletic wear for longer runs. Your body will raise it's temperature by 10-15 degrees, so dress as if the weather is 10-15 degrees warmer. Make sure your sneakers fit by trying them out on short runs. If you get any blisters or feel numbness in your toes, you need better fitting shoes.  Your heel should stay snugly in the shoe. You should have room to wiggle your toes. The balls and arches of your feet should be comfortable but not tight.  There is a growing movement to run barefoot for it's supposed health benefits, but only try it if you are sure you will not step on anything dangerous.
Summary: Hydrate throughout the day. Eat a simple meal 2-3 hours before you plan on running. Set a reasonable goal. Dress to exercise. Buy running shoes.

INPUT ARTICLE: Article: Expressing disagreement by yelling out "You're SO wrong!" isn't a great way to respectfully disagree. Neither is making it seem that your option is the only one, such as saying "that's a no-brainer." Doing this makes it seem like your opinion is the only one and that others' opinions are irrelevant. Instead, seek to make a "disarming" preliminary statement before you express your own opinion:  "Interesting––it seems we have different points of view. Do you mind if I explain where I'm coming from?" "Really? I've made different observations, probably because I had different experiences..." "I value your ideas on this matter and I can see why you're concerned about trying a different way. Perhaps we could look at a new approach?" "I just wanted to run a different alternative by you. I'd be happy to give more details if you're interested..." Once you have stated your own opinion, be sure to give the other person room to do the same. This means actively and attentively listening to this person's opinion with respect. The principles of active listening involve:  Turning to face the speaker and demonstrating that they have your undivided attention. Refraining from butting in until the speaker has completely finished talking. Encouraging the speaker to continue by nodding or prompting (e.g. “And?”). Restating what you heard to be sure you understand the message (e.g. “So, if I heard you correctly, you are saying…” Reflecting the speaker's message in terms of what they seem to be feeling (e.g. “It sounds like this is a serious belief for you.”). Sharing feedback in a non-judgmental way about your thoughts on the message. To prevent any disagreeable discussion from escalating into a heated argument, communicate empathetically by stating observations, feelings, needs, and requests in that order. To show empathetic solidarity, consider expressing your understanding of the issue by explaining your own past experience. For example, say something like: "I've been through something similar in the past and I felt just like you do now." Of course, this must be a genuine connection; don't make up anything. When you're in disagreement with someone, it's easy to get caught up in your separate agendas and forget the overall point. In order to reel in a disagreement that is losing its purpose, let the other person know what you both have in common regarding the issue. Doing this brings you back to the discussion table and actually allows you to be on the same side. You can say something like “Let’s consider our shared goal. We both want ___.  What can we do to be sure that our mutual needs are met? What tools can we use to accomplish this goal?” Be sure to thank the other person for having the courage to express their opinion—and pat yourself on the back if you were prompted to disagree. Disagreement means that the person you are dealing with is bringing a different perspective into the mix and offering you a chance to broaden your horizons. It also means that the person values you enough and trusts you enough to voice a difference of opinion in your presence (you might also like to congratulate yourself for fostering such openness). Show appreciation for this person's courage by saying something like:  "You know, while I still think we have different approaches, I understand yours a little better now. Thanks for discussing it with me." "I really appreciate that you took the time to clearly explain to me how you see this matter. I hadn't looked at it from this perspective before and it has given me much food for thought. I'll definitely take into consideration the points you raised when I review this now." When you have a quick acronym to call up to your memory, you can jump into effectively resolving disagreements sooner than later. There is a common acronym used in conflict resolution called LEAP.  You can use this when you are in the middle of a disagreement and want to resolve it more quickly and effectively. It consists of:  L: Listen to the other person's message E: Empathize with the other person's point-of-view; think about where the message is coming from A: Agree with some aspect of the person's message to find common ground P: Partner with the other person to find a mutually beneficial and workable solution

SUMMARY:
Express disagreement respectfully. Practice active listening. Show empathy towards the other person. Speak to common interests. Acknowledge the courage it takes to disagree. Find easy ways of resolving disagreements.