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Integers

Integers. Here is an example on how to add integers. Think of movements. Ex. 1 : -4 + 3 = -1 You start at the -4 and then move to the right +3. Your final answer is -1. Ex. 2: 5 + -2 = 3 You start at 5 and then move to the left -2 . Your final answer is 3. Add two Negatives.

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Integers

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  1. Integers Here is an example on how to add integers. Think of movements. Ex. 1 : -4 + 3 = -1 You start at the -4 and then move to the right +3. Your final answer is -1. Ex. 2: 5 + -2 = 3 You start at 5 and then move to the left -2 . Your final answer is 3.

  2. Add two Negatives Ex. 3 : -2 + -3 = -5 You start at the -2 and then move to the left -3. Your final answer is -5. Ex. 4 : -1 + -3 = -4 You start at the -1 and then move to the left -3. Your final answer is -4.

  3. Practice You Notice that if the signs are DIFFERENT then you subtract. In other words if you have one negative number and a positive number. You would subtract and keep the sign of the larger one. • -3 + 13 = • -5 + 12 = • -9 + 11 = • -21 + 26 = • -12 + -2 = • -4 + -5 = • 5 + -3 = • -13 + 5 = 10 7 2 5 -14 But If the signs are both the SAME then you would add them and keep that sign. -9 2 -8

  4. Practice 0 -13 + 13 = -15 + 12 = -19 + 11 = -31 + 26 = -19 + -2 = -14 + -5 = 18 + -13 = -23 + 15 = -3 -8 -5 -21 -19 5 -8

  5. Homework Textbook Page 112 # 2 – 25 All

  6. Review our Skills Adding Step 1: Lets check if the numbers we are adding areBOTHNEGATIVE (-) or POSITIVE (+). • If “YES” then we will add and keep their sign. Example 1: (+3) + (+1) = +4 or 3 + 1 = 4 Example 2: (-2) + (-5) = -7 • If “NO” then we will subtract and keep the larger number’s sign. Example 1: -13 + 8 = -5 , we know that 13 take away 8 is 5, however the answer is negative because 13 is larger than 8 and 13 is a Negative (-) number. Example 2: 18 + (-11) = 7 , we know that 18 take away 11 is 7, however the answer is positive(+) 7 or 7 because 18 is larger than 11 and 18 is positive (+).

  7. Practice • 24 + (-12) = • 93 + (-44) = • -21 + 84 = • -13 + (-52) = • 82 + (-23) = • -26 + (-19) = • 101+ (-120) = • -151 + 144= • -431 + 565= • 135 + (-111)=

  8. Example 5 15x + (-19x) + (-4x)

  9. Example 6 -15x +(-9)+ (-19x) + 7

  10. Practice • 24 + (-2) = • 33 + (-44) = • -21 + 14 = • -13 + (-2) = • 12 + (-23) = • -16 + (-12) = • 11+ (-12) = • -11 + 14= • -43 + 5= • 35 + (-11)=

  11. Practice • 264 + (-762) = • 333 + (-144) = • -21 + 164 = • -13 + (-222) = • 121 + (-23) = • -161 + (-12) = • 111+ (-12) = • -111 + 14= • -431 + 5= • 351 + (-11)=

  12. Example 5 • 1.4 + (-2.6) + 3.1 = 1.4 + (-2.6 )+ 3.1 = -1.2 + 3.1= = 1.9

  13. Practice 0.4 • 2.4 + (-2) = • 3.3 + (-4.4) = • -2.1 + 14 = • -1.3 + (-2) = • 1.2 + (-2.3) = • -1.6 + (-1.2) = • 11+ (-1.2) = • -11 + 1.4= -1.1 11.9 -3.3 -1.1 -1.8 9.8 -9.6

  14. Example 6 5 + x + (-8) ; x = 4 5+ (4) + -8 = 9 + -8= = 1

  15. Practice 7 • 12 + (-2) + x ; x = -3 • 3 + (-4) + y ; y = 4 • -2 + 14 + x ; x = -10 • -3 + (-2) + h ; h= 8 • 2 + (-3) + x ; x = -5 3 2 3 -6

  16. Practice -2 10 + (-26) = -16 • 12 + (-14) = • (-16) + 31 = • 28 + ( -55) = • 23 + 46 = • -14 + (-17) = • 67 + 18 = • (-28) + (-21) = • (-67) + 93 = 9) 10 – 26 = 10) (-15) – 25 = 11) (-27) – 87 = 12) 35 – (-13) = 13) (-15) – (-22) = 14) 33 – (-31) = 15) 21 – (-55) = 16) -44 – (-23) = 15 -15 + (-25) = -40 -27 -27 + (-87) = -114 69 35 + (+13) = 48 -15 + (+22) = 7 -31 33 + (+31) = 64 85 21 + (+55) = 76 -49 -44 + (+23) = -21 26 Understand that when you add (+) there is NOT Any changes, but when you subtract (–) there IS.

  17. Warm-Up 9/22 25.4429 221.7004 16560 9913 Solve the following 23.438 + 2.0049 = 234.0004 – 12.300 = 48 x 345 = 23 x 431 = 13 + -8 = -21 + 47 = 13 + -24 = 5 26 -11

  18. Warm-Up Tell me the place value and then round it off. • 3,456.993 • 3,456.993 • 3,456.993 • 3,456.993 • 3,456.993 • 819,534.1 • 819,534.1 • 819,534.1 • 819,534.1 • 819,534.1 3,500.000 Hundred 3,460.000 Tens 3,457.000 Ones 3,000.000, Hundred Thousands 3,456.990 Hundredths 820,000.0 Ten Thousands 819,500.0 Hundreds 819,534.0 Ones 820,000.0 Thousands 800,000.0 Hundred Thousands

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