INPUT ARTICLE: Article: Read the number and count how many digits are in it, paying special attention to the digits that come after (to the right of) the decimal point.   Example: Write 531.94 in expanded form. Read the number: five hundred thirty one and 94 hundredths. Notice that there are three digits before the decimal point and two digits after the decimal point. There will be a total of five separate places in the expanded form of this number. Rewrite the number, separating each individual digit by a plus sign. For now, write the decimal point, too.  Note that the decimal point will eventually be removed, but you should keep it in place for now to prevent confusion while solving the problem. Leave some space in between the digits and the plus signs. More information will need to be written there.  Example: The number 531.94 temporarily becomes: 5 + 3 + 1 + . + 9 + 4 Label each digit with the place value name that matches its position in the original number.  When working before (to the left of) the decimal point, work from the lowest number to the highest. When working after (to the right of) the decimal point, work from the highest number to the lowest.  Example: You will need to count three places to the left and two places to the right.  For the left values: The smallest number is 1, which matches the ones (1) place. The second number is 3, which matches the tens (10) place. The largest number is 5, which sits in the hundreds (100) place. For the right values: The largest number is 9, which sits in the tenths (10) place. The smallest number is 4, which sits in the hundredths (100) place. All of the digits on the left side of the decimal point must be multiplied by their matching place value. Do that now.  Example: [5 * 100] + [3 * 10] + [1 * 1] = 500 + 30 + 1 All of the digits on the right side of the decimal point must be divided by their matching place value. Do that now.  Example: [9 / 10] + [4 / 100] = 0.9 + 0.04 Combine all of your rewritten values together, placing plus signs in between each one. Remove the decimal point. This will be your final answer.  Example: The expanded form of 531.94 is: 500 + 30 + 1 + 0.9 + 0.04

SUMMARY: Look at the number in standard form. Separate the digits. Identify each place value name. Multiply the left digits by the appropriate value. Divide the right digits by the appropriate value. Write your final answer.


INPUT ARTICLE: Article: Once you've confronted your present hurt, you need to give yourself permission to move forward.  The grieving/healing stage lasts longer for some than it does for others, so there is no way to predict how much time will pass before you are able to grow past it. Once the urge to move forward becomes natural instead of forced, however, you may want to consider acting on it. You don't need to forget the past, but you do need to reach a point where it is no longer your focus. You need to forgive both yourself and your lost love.  Your anger and bitterness has no effect on your lost love. Instead of making him or her miserable, you will only make yourself miserable. Admit to any mistakes you made. Instead of regretting those errors, commit yourself to correcting them in the present and avoiding them in the future. Even though this experience brought you pain, it may have benefitted you in some way, too. Consider the positive things you gained from the relationship and the split.  For instance, your lost love may have introduced you to a hobby you're passionate about or taught you a skill you're glad to have. In general, people are often improved by the process of loving someone. Nurturing your ability to love with one person can make it easier to love yourself and those around you. Losing your old love can open the door for a healthier relationship or new path in life. Indulge in old interests but try to find a few new ones, as well.  Old interests and passions can be comforting, so they can give you the strength to keep moving forward on otherwise dark days. New interests shake up your routine and encourage growth as a whole person. By developing a side of you that your lost love never knew, you may begin to feel as though you really have changed from who you were in the past. Don't abandon your old friends, but don't undervalue the importance of making new friends, either.  New friends never knew who you were while you were in your old relationship, so their presence won't remind you of your past hurt. As you meet new people, do your best to be trusting, open, and honest with them. Doing so might be difficult after you were hurt so badly, but remember that the new people you meet were not responsible for your past pain and deserve an opportunity to earn your trust. Learn to love yourself when you're alone. You should love who you currently are, but working toward some positive self-improvements can reinvigorate your self-esteem and make the process easier.  Quit a bad habit, like smoking, or start on a healthy diet and exercise program (if you need it). If there's an aspect of your personality that frustrates you, take steps to improve it. For instance, consider a class on public speaking if you want to be more comfortable talking in front of strangers. Work on one self-improvement at a time to avoid overwhelming yourself. If you overwhelm yourself, you're more likely to fail, and failure may cause a setback in your growth. When you have a hard time loving yourself or begin feeling sorry for yourself, a good way to combat the feeling is to focus on doing something kind for someone else.  Be there for your friends and relatives when they need your support. Take time to volunteer. Mow your neighbor's lawn or spend a few hours at a local soup kitchen. Walk dogs at a nearby animal shelter or visit an acquaintance in the hospital.

SUMMARY:
Focus on forward motion. Forgive. Consider the good. Pursue your interests. Meet new people. Love yourself. Let yourself love others.