M y M a t h P o wer P o i n t

1. MyMathPowerPoint

2. Powers of 10 The powers of ten are all multiples of ten. The second power is 100, because 10 * 10 equals 100. The fourth power is 10,000, or 10 * 10 * 10 * 10. Following this pattern, here is a list of the powers of ten. 1: 10 6:1,000,000 2: 100 7: 10,000,000 3: 1,000 8: 100,000,000 4: 10,000 9: 1,000,000,000 5:100,000 10: 10,000,000,000 PS: An easy way to remember these powers is by the name of the power of ten. For example, the second power is a 1 with 2 zeroes. The ninth power has nine zeroes. See?

3. Exponents • Exponents and the Powers of Ten go hand in hand. However, exponents can be used for any number. Say you have the number 53. The tiny little digit next to the 5 is the exponent. Exponents are basically repeated multiplication. For example, 53 equals 5*5*5, or 125. 92 is 81, or 9 * 9. Easy, right? The exponent

4. PEMDAS • PEMDAS is the correct way to solve problems. PEMDAS stands for • Parentheses • Exponents • Multiply • Divide • Add • Subtract If you solve problems using this sequence, you will get the problems correct.

5. Divisibility Rules • All numbers are divisible by 1. • If the number is even, it is divisible by 2. • If you add up the digits in a number and the sum is divisible by 3, then the full number is divisible by 3. • If the last digit in a number is 5 or 0, then the number is divisible by 5. • If the number is divisible by 3 and 2, it is divisible by 6. • If the sum of the digits is divisible by 9, so is the whole number. • If the last digit is 0, then that number is divisible by 10.

6. Factors Factors are the numbers that are multiplied to get a number. For example, the factors of 16 are 1,2,4,8, and 16. Some numbers only have 2 factors, 1 and itself. Those numbers are called prime numbers. Numbers with more than two factors are called composite numbers.

7. Patterns in Multiplying by 10,100, and 1,000 To multiply a number by 10, 100, or 1,000, it’s all about zeroes. If you want to do 27 x 1,000, simply add 3 zeroes to 27. 10 x 5 = 50 100 x 27 = 2700 For decimals however, there is a slightly different procedure. Let’s say you have 14.5 x 10. You would move the decimal to the right. 12.5 x 100 = 1250 49.8 x 1,000 = 49,800

8. Patterns in Multiplying by 0.1, 0.01, or 0.001 Multiplying by 0.1, 0.01, or 0.001 is the basic opposite of multiplying by 10,100, or 1,000. For the problem 87.56 x 0.01, you look at the number of zeroes and move the decimal that many spaces. The answer to this problem is 0.8756. 1.5 x 0.001 = 0.0015 34.7 x 0.01 = .347 13 x 0.1 =1.3

9. Expanded Form, Word Form, and Standard Form • Expanded form, word form, and standard form are all different ways of writing a number. The expanded form of 4,964 is 4,000 + 900 + 60 + 4, the standard form is 4,964, and the word form is four thousand, nine hundred sixty-four. Expanded form: 500,000 + 60,000 + 2,000 + 100 + 90 + 7 Standard form: 9,376 Word form: two hundred thirty-one

10. Divisor, Dividend, and Quotients Divisors, dividends, and quotients all have to do with division. 5 the quotient 4 21 the dividend 20 1 the remainder the divisor

11. Prime and Composite Numbers For a number to be prime, it has to have only 2 factors, 1 and itself. Composite numbers are all the numbers with 3 or more factors. 1 is not prime or composite because it has only one factor, 1. Prime Numbers Composite Numbers: 2, 3, 5, 7, 11, 13, 17, 4, 6, 8, 9, 10, 12, 14, 15, 19, 23, 29, 31, 37, 41 26, 27, 28, 30, 32, 33, 34 These are not all the prime of composite numbers. There are many more, but I don’t have the space.