Bell Ringer for the ringing of the bell

Bell Ringer for the ringing of the bell!!

1. Using the order of operations, what is the second operation that should be performed? (4 + 2) x 62 ÷ 3 2. Paula wants a paintbrush that costs $6. 90, a set of paints that costs $6. 20, and an easel that costs $26. 05. Paula already has $8. 30. How much more money does Paula need?

1. (2 + 10)2 ÷ 4 2. 72 ÷ 3 – 5(2. 8) + 9 3. 3*14(10 – 8) – 60 4. Without parentheses, the expression 8 + 30 ÷ 2 + 4 equals 27. Place parentheses in the expression so that it equals 13; then 23. 5. The electric company charges $0. 06 per kilowatt hour of electricity used. Write a multiplication equation to find the number of kilowatt hours of electricity for which the Estevez family was charged if their electric bill was $45. 84. 6. Suppose a DVD costs $19 and a CD costs $14. Write an inequality to find how many CDs you can buy along with one DVD if you have $65 to spend.

PROPERTIES OF ADDITION Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends For example: a + b = b + a Associative Property: When three or more number are added, the sum remains the same regardless of the grouping of the addends For example: (a+ b) + c = a + (b + c)

PROPERTIES OF ADDITION Identity Property: The sum of any number and zero is the original number a + 0 = a For example 5+0=5 Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. a (b + c) = ab + bc For example 4 * (6 + 3) = 4*6 + 4*3 The distributive property is the only property that combines multiplication and addition. That makes it very important!

PROPERTIES OF MULTIPLICATION Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. ab = ba or a(b) = b(a) For example 4(2) = 2(4) Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. (a × b) × c = a × (b × c) For example (2 × 3) × 4 = 2 × (3 × 4)

PROPERTIES OF MULTIPLICATION Multiplicative Identity Property: The product of any number and one is that number. a × 1 = a For example 5 × 1 = 5. Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. a (b + c) = ab + bc For example 4 * (6 + 3) = 4*6 + 4*3 The distributive property is the only property that combines multiplication and addition. That makes it very important!

ORDER OF OPERATIONS P. E. M. D. A. S 1. Parentheses (simplify inside 'em) 2. Exponents 3. Multiplication and Division (from left to right) 4. Addition and Subtraction (from left to right)

MULTIPLY DECIMALS To multiply decimal numbers: 1. Multiply the numbers just as if they were whole numbers. 2. Line up the numbers on the right - do not align the decimal points. 3. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers. 4. Add the products. 5. Place the decimal point in the answer by starting at the right and moving a number of places equal to the sum of the decimal places in both numbers multiplied.

3. 77 x 2. 8 = ? ? 3. 77 (2 decimal places) x 2. 8 (1 decimal place) 3016 +7540 10. 556 (3 decimal places to the left)

ADDING/SUBTRACTING DECIMALS To add/subtract decimals, follow these steps: 1. Write down the numbers, one under the other, with the decimal points lined up 2. Put in zeros so the numbers have the same length 3. Then add/subtract using column addition/subtracting, remembering to put the decimal point in the answer

WRITING EQUATIONS Equations can be derived from sentences. There is always more than one way to interpret an equation. 3 n – 60 = 59 • Sixty less than three times the amount is $59. • Three times the amount less 60 is equal to 59. • 59 is equal to 60 subtracted from three times a number. • A number times three minus 60 equals 59.

1. There are 5 people in Johnny’s rock band. They made x dollars playing at a dance hall. After dividing the money 5 ways, each person got $67. 2. A gardening expert recommends that flower bulbs be planted to a depth of three times their height. Suppose Jenna determines that a certain bulb should be planted at a depth of 4. 5 inches. Write an equation to find the height of the bulb.

INEQUALITIES An inequality is a mathematical sentence that contains the symbols �, � , ≤ , ≥ or

1. In Ohio, you can get your license when you turn 16. Write an inequality to show the age of all drivers in Ohio. 2. Five dollars less than two times Chris’ pay is at most $124.

SOLVING FOR X Determine the unknown in a linear equation with 1 or 2 operations

1. 4 t + 3. 5 = 12. 5 2. 48 = - 6 r 3. It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend?

1. y + 5 ≤ 14 2. 6 u ≥ 36 3. You have $80. Jeans cost $29 and shirts cost $12. Mom told you to buy one pair of jeans and use the rest of the money to buy shirts. Use this information to write and solve an inequality. How many shirts you can buy?

FRACTIONS v

FRACTIONS TO DECIMALS v Put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket. **Hint, use the middle line as “divided by” ⅜ is read “three divided by 8”***