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Do Now 11/21/11 Take out HW from Friday. Copy HW in your planner. Text page 117, #1-5 all Text page 114, #10-40 evens, #50 In your journal, solve the following problems. Explain how the first problem is different from the rest. 8 3 8.2 3.5 6.1 18.7 5 4.7 12.6 6.82(11.7) 79.794 8.16 3.4 2.4 Homework Text page 117, #1-5 all 1) 0.75 x $15.99 = $11.99 2) 5.5 – 1.4 = 4.1 feet 3) 15.3 – 0.8 – 1.12 = 13.38 seconds 4) Side C = 6 m, Side B = 12 m, and Side A = 14 m 5) Albert: 3.7 miles; Tryone: 1.2 miles; altogether: 4.9 miles Decimal Review 32.7 + (-62.82) |32.7| = 32.7 |-62.82| = 62.82 62.82 – 32.7 Because 62.82 has a greater absolute value than 32.7 the answer is “negative”. 62.82 – 32.70 - 30.12 Use a zero as a placeholder so that both numbers are in the same place value. -5.23 – 9.1 Add the Opposite !!! -5.23 + (-9.1) To add two integers with the SAME signs, find the sum of their absolute values. Use the sign of the two integers 5.23 + 9.10 -14.33 Use a zero as a placeholder so that both numbers are in the same place value. Multiplying Decimals Find the product. 3.06 x 1.4 1224 +306 4.284 4284 3.06 x 1.4 2 decimal places 1 decimal place How many decimal places are in each number? How many decimal places are in the sum of both numbers? 3 decimal places will then be in the product! Find the quotient of -0.875 ÷ (-0.25) 0.25 0.875 Multiply both numbers by 100 to make the divisor an integer 35 25 87.5 75 12 125 Finished 25 87.5 Move the decimal point straight up, then divide as you normally would. The quotient of two integers with the same sign is always POSITIVE! Objective SWBAT solve equations using decimals Equationmathematical sentence with an equal sign Like a scale, both sides must be balanced Section 3-4 “Solving Equations Containing Decimals” x + 7.2 = 10.5 Left side ‘x’ has to be 3.3 in order to make the equation balanced. Like a scale, the left side and right side must be the same in order to be balanced! Right side Solving Addition Equations… Isolate the variable! Get ‘m’ by itself. To get the ‘m’ by itself get rid of “adding 4.7” m + 4.7 = -18.2 – 4.7 -4.7 Do the opposite. “Subtract 4.7” Whatever you do to one side of the equation you must do the other side. m = -22.9 Solving Subtraction Equations… Isolate the variable! Get ‘y’ by itself. To get the ‘y’ by itself get rid of “subtracting 6.91” Do the opposite. “Add 6.91” -2.26 = y – 6.91 +6.91 +6.91 4.65 = y Whatever you do to one side of the equation you must do the other side. Solving a Multiplication Equation -0.6y = -5.1 -0.6 -0.6 y = 8.5 “Undo” multiplication by dividing both sides of the equation Solving a Division Equation -8· j = 1.75 · -8 -8 j = -14 “Undo” division by multiplying both sides of the equation Practice s – 3.84 = 7.2 + 3.84 + 3.84 s = 11.04 3.9 w = 1.2 3.9 x 3.9 w = 4.68 y + 20.51 = 26 -20.51 -20.51 y = 5.49 4 = 1.6c 1.6 1.6 2.5 = c 24 Homework Text page 114, #10-40 evens, #50