Week 3 24-28 August 2015.

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Presentation transcript:

Week 3 24-28 August 2015

Order of Operations Don’t forget…

Integers

Integers

Integers Rules for Adding Positive and Negative Numbers To add two positive numbers, add and keep the positive sign Example: (+6) + (+7) = 13 To add two negative numbers, add and keep the negative sign Example: (-13) + (-24) = -37

Integers Rules for Adding Positive and Negative Numbers To add numbers with different signs, find the difference between the two numbers (subtract) and give the answer the sign of the number with the greater absolute value. Example #1: (+17) + (-6) = 11 Example #2: (-32) + (+18) = -14

Integers Rules for Subtracting Positive and Negative Numbers To subtract numbers (either positive or negative), change the subtraction sign to addition and change the sign of the number that follows, then revert back to the addition rules Example #1: (+8) - (+5) = (+8) + (-5) = 3 Example #2: (+7) - (-4) = (+7) + (+4) = 11 Example #3: (-12) - (+6) = (-12) + (-6) = -18 Example #4: (-23) - (-16) = (-23) + (+16) = -7

Integers Rules for Multiplying and Dividing Positive and Negative Numbers With both multiplication and division, when the signs are the same, the answer will be positive Example #1: (+5) × (+7) = 35 Example #2: (-5) × (-7) = 35 Example #3: (+10) ÷ (+2) = 5 Example #4: (-10) ÷ (-2) = 5

Integers Rules for Multiplying and Dividing Positive and Negative Numbers When the signs are different in a multiplication or division problem, the answer will be negative Example #1: (+8) × (-7) = -56 Example #2: (-12) × (+4) = -48 Example #3: (+9) ÷ (-3) = -3 Example #4: (-14) ÷ (+2) = -7

Integers Order of Operations and Positive and Negative Numbers When a number of mathematical operations are to be performed in a problem, you must follow a specific order for solving the problem Step 1 – Do anything that is inside parentheses Step 2 - Solve anything that contains an exponent (a power – 52 – the 2 is the exponent and it means the base number is to be multiplied by itself that number of times, so 52 = 5 ×5 = 25) Step 3 – Solve any multiplication or division within the problem, moving from left to right Step 4 – Solve any addition or subtraction within the problem, moving from left to right.

Integers Order of Operations and Positive and Negative Numbers Example #1: -2(12 – 8) + -33 + 4 • -6 - 2(4) + -33 + 4 • -6 -2(4) + -27 + 4 • -6 -8 + -27 + -24 -35 + -24 -59

Integers Order of Operations and Positive and Negative Numbers Example #2: -3 + 4(2 - 6)2 ÷ -2 -3 + 4(-4)2 ÷ -2 -3 + 4(16) ÷ -2 -3 + 64 ÷ -2 -3 + -32 -35

Integers Order of Operations and Positive and Negative Numbers If the operations to be performed are in fractional form, solve the numerator first, then the denominator, then reduce. Example: 7(-4) - (-2) = (-28) - (-2) = -26 = -2 8 - (-5) 13 13

Homework Create and solve 8 integer problems. Please show all work. You must have 2 addition, 2 subtraction, 2 multiplication, and 2 division problems.