addition of integers using block model by julius s. antonio

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Page 1: Addition of integers using block model by julius s. antonio

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Page 2: Addition of integers using block model by julius s. antonio

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Addition of Integers

Page 3: Addition of integers using block model by julius s. antonio

Add the following integers:

1. -68 + (-33)2. -45 + (-97)3. -104 + (-278)4. -418 + (-732)5. -321 + (-805)

Page 4: Addition of integers using block model by julius s. antonio

Add the following integers:

1. -68 + (-33) = -1012. -45 + (-97) = -1423. -104 + (-278) = -3824. -418 + (-732) = -11505. -321 + (-805) = -1126

Page 5: Addition of integers using block model by julius s. antonio

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Addition of Unlike Signed Integers

Page 6: Addition of integers using block model by julius s. antonio

Add: 7 + (-9)

Let the Blue Block be the negative integer

Solution:

Let the Red Block be the positive integer

Page 7: Addition of integers using block model by julius s. antonio

There will be 7 red blocks:

There will be 9 blue blocks:

Page 8: Addition of integers using block model by julius s. antonio

Match each red block to each of the blue block.

Page 9: Addition of integers using block model by julius s. antonio

We will remove the pairs of red and blue blocks. This pairs of blocks mean zero.

There are 2 blue blocks left. This means that the answer is 2. Since the color of the blocks left is blue, the sign of the answer is negative.

Page 10: Addition of integers using block model by julius s. antonio

Thus, 7 + (-9) = -2.

Page 11: Addition of integers using block model by julius s. antonio

Add: 14 + (-9)

Let the Red Block be the positive integer

Let the Blue Block be the negative integer

Solution:

Page 12: Addition of integers using block model by julius s. antonio

There will be 14 red blocks:

There will be 9 blue blocks:

Page 13: Addition of integers using block model by julius s. antonio

Match the red and blue blocks. Then delete the pairs of red and blue blocks for it means zero.

Page 14: Addition of integers using block model by julius s. antonio

There are 5 red blocks left. Red block stands for positive integer. It means the answer is positive 5.

Thus, 14 + (-9) = 5.

Page 15: Addition of integers using block model by julius s. antonio

Disregard the sign of the integers.

Subtract the integer with lesser value from the integer with the greater value.

Affix the sign of the integer with greater value.

Rule for Addition of Unlike Signed Integers

Page 16: Addition of integers using block model by julius s. antonio

Add the following integers:

1. 6 + (-15)

2. -8 + 9

3. 17 + (-28)

Let’s Practice More!

Page 17: Addition of integers using block model by julius s. antonio

Add the following integers:

1. 6 + (-15) 2. -8 + 9

3. 17 + (-28)

Let’s Practice More!

-9

Page 18: Addition of integers using block model by julius s. antonio

Add the following integers:

1. 6 + (-15) 2. -8 + 9

3. 17 + (-28)

Let’s Practice More!

1

Page 19: Addition of integers using block model by julius s. antonio

Add the following integers:

1. 6 + (-15) 2. -8 + 9

3. 17 + (-28)

Let’s Practice More!

-11

Page 20: Addition of integers using block model by julius s. antonio

1. 8 + (-19)2. 14 + (-23)3. -38 + 464. 56 + (-72)5. -59 + 92

Add the following integers:

Page 21: Addition of integers using block model by julius s. antonio

1. 8 + (-19) = -112. 14 + (-23) = -93. -38 + 46 = 84. 56 + (-72) = -165. -59 + 92 = 33

Add the following integers:

Page 22: Addition of integers using block model by julius s. antonio

Add the following integers:

1. 78 + (-112) 2. 93 + (-162) 3. -245 + 168 4. -364 + 412 5. 685 + (-911)

Assignment: