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# November 25, 2013

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### November 25, 2013

1. 1. November 25, 2013
2. 2. Warm-Up Simplify: 1. 4a - 20 a-5 2. 3__ = ?__ x+1 4(x + 1) Lastly, Find the GCF
3. 3. Decimals: Definition  Decimal: From the Latin decimalis, meaning tenths. Root is Latin decim, ten.  English: Decade, December?  A decimal is a fraction with a denominator that is a multiple of 10.
4. 4. Vocabulary: Per Cent Percent: From the Latin per centum. Per: for each as in "One per student.‛ Centum: hundred Century, Cent, Centimeter, Centipede 5% = 05 = 1 = .05 100% = 100 = 1 100 20 100 **Fractions, Decimals, & Percents are three different ways of expressing the same amount. All three show a single number based on the relationship (ratio) between two other numbers.
5. 5. Decimals: Reading & Writing  Reading Read the whole number on the right 2. Read the decimal point as the word ‚and‛ 3. Read the decimal fraction on the right Example: 8.3 = ‚eight and three tenths‛ 4.06 = ‚four and six hundredths‛ 0.5 = ‚five tenths The word ‘point’ is not a number and is not used when reading decimals. 1. Each decimal expression with a value less than 1 is preceded by a leading zero to emphasize the presence of a decimal. For example, .7 is correctly written as 0.7
6. 6. Decimals: Place values
7. 7. Fractions Decimals Percent Since the % sign cannot be +, -, x, ÷; numbers expressed as percents must be changed to a decimal or fraction before any calculations can be made.  A. To change a decimal to a percent: Move the decimal 2 places to the right and add the % sign.  B. To change a percent to a decimal: Move the decimal 2 places to the left and drop the % sign.  C. To change a fraction to percent, or percent to fraction, the number must be changed to a decimal first.
8. 8. Class Notes: Converting Fractions Decimals There are 3 ways to change fractions to decimals:  1. If the denominator is 10, 100, 100, etc., you can change to a decimal right away. Example: 4/10 = .4, 4/100 = .04, 4/1000 = .004 2. If the denominator is a factor (divides evenly) of 10 or 100, multiply the top and bottom by the number needed to reach 10 or 100.  Example 1: 1/5; 5x2 =10, multiply both by 2 to get 2/10, which is .2  Example 2: 16/25; = ?, 
9. 9. Class Notes: Converting Fractions Decimals 3. If the denominator is not a factor of 10 or 100, your last option is to divide the numerator by the denominator. The denominator goes into the numerator. You can always find the decimal form of a fraction by doing this
10. 10. Class Notes: Converting Decimals Fractions Converting Decimals to Fractions or Mixed Fractions The number of digits in the decimal will tell you what the denominator is before you simplify. Example 1: .65 is sixty five-hundredths, which is 65/100 Use the GCF to Simplify Divide by 5 to get the simplified fraction of 13/20 Ex. 2: .065 is what fraction? sixty five-thousandths; 65/1000 Use the GCF to simplify Divide by 5 to get the simplified fraction of 13/200 Ex. 3: 2.55 = Write the non-simplified fraction. Simplify Simplify to get 2 11/20 2 55/100
11. 11. Class Work: All, Everything