Plastinina IV. GA Solve the examples given below

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Accepted Answer

The image contains a table with mathematical expressions. To solve them, we will go through each row and column and perform the indicated operations.

Letter	Range	Expression 1	Expression 2	Expression 3	Expression 4	Expression 5	Expression 6
Л	125-134	3 - (-12) = 15	-3,5 + 8 = 4.5	6/10 + (-4/10) = 2/10 = 1/5 = 0.2	-1 1/2 + (-3 1/2) = -5	1 3/4 + (-1,2) = 1.75 - 1.2 = 0.55	-8,12 - 2 1/50 = -8.12 - 2.02 = -10.14
К	95-116	14 - (-91) = 105	-4,2 + (-6,3) = -10.5	8/25 + 4/25 = 12/25 = 0.48	2 6/5 - 8/50 = 2.6 - 0.16 = 2.44	-2,9 + 5 1/4 = -2.9 + 5.25 = 2.35	1 1/9 - 24/25 = 10/9 - 24/25 = (250-216)/225 = 34/225 ≈ 0.15
Н	13-55	-9 - (-34) = 25	4,6 - (-3,7) = 8.3	3/5 - 6/5 = -3/5 = -0.6	5/18 - (-20/24) = 5/18 + 5/6 = (5+15)/18 = 20/18 = 10/9 ≈ 1.11	-1 3/4 + 3/4 = -1	7 3/8 - 4.15 = 7.375 - 4.15 = 3.225
И	1-80	-9 - (-2) = -7	-1.21 - 3.5 = -4.71	12/20 - 4/20 = 8/20 = 2/5 = 0.4	9/10 - 6/25 = (45-12)/50 = 33/50 = 0.66	-4 20/100 - (-5,65) = -4.2 + 5.65 = 1.45	3/5 + 0.6 = 0.6 + 0.6 = 1.2

3 - (-12): This is 3 plus 12, which equals 15.
-3.5 + 8: Adding 8 to -3.5 results in 4.5.
6/10 + (-4/10): Adding fractions with the same denominator means adding the numerators: (6 + (-4))/10 = 2/10, which simplifies to 1/5 or 0.2.
-1 1/2 + (-3 1/2): Convert mixed numbers to improper fractions: -3/2 + (-7/2) = (-3 - 7)/2 = -10/2 = -5.
1 3/4 + (-1.2): Convert the mixed number to a decimal: 1.75. Then, 1.75 + (-1.2) = 0.55.
-8.12 - 2 1/50: Convert the fraction to a decimal: 1/50 = 0.02. So, -8.12 - 2.02 = -10.14.

14 - (-91): This is 14 plus 91, which equals 105.
-4.2 + (-6.3): Adding two negative numbers: -4.2 - 6.3 = -10.5.
8/25 + 4/25: Add the numerators: (8 + 4)/25 = 12/25, which is 0.48.
2 6/5 - 8/50: Convert to decimals: 2.6 - 0.16 = 2.44.
-2.9 + 5 1/4: Convert the mixed number to a decimal: 5.25. Then, -2.9 + 5.25 = 2.35.
1 1/9 - 24/25: Convert to a common denominator: (10/9) * (25/25) = 250/225 and (24/25) * (9/9) = 216/225. So, 250/225 - 216/225 = 34/225, which is approximately 0.15.

-9 - (-34): This is -9 + 34, which equals 25.
4.6 - (-3.7): This is 4.6 + 3.7, which equals 8.3.
3/5 - 6/5: Subtract the numerators: (3 - 6)/5 = -3/5, which is -0.6.
5/18 - (-20/24): Simplify -20/24 to -5/6. Then, 5/18 - (-5/6) = 5/18 + 5/6. Find a common denominator (18): 5/18 + (5/6)*(3/3) = 5/18 + 15/18 = 20/18, which simplifies to 10/9, or approximately 1.11.
-1 3/4 + 3/4: Convert mixed number: -7/4 + 3/4 = (-7 + 3)/4 = -4/4 = -1.
7 3/8 - 4.15: Convert mixed number to decimal: 7.375. Then, 7.375 - 4.15 = 3.225.

-9 - (-2): This is -9 + 2, which equals -7.
-1.21 - 3.5: Adding two negative numbers: -1.21 - 3.5 = -4.71.
12/20 - 4/20: Subtract the numerators: (12 - 4)/20 = 8/20, which simplifies to 2/5 or 0.4.
9/10 - 6/25: Find a common denominator (50): (9/10)*(5/5) = 45/50 and (6/25)*(2/2) = 12/50. So, 45/50 - 12/50 = 33/50, which is 0.66.
-4 20/100 - (-5.65): Convert the fraction to decimal: -4.20. Then, -4.20 - (-5.65) = -4.20 + 5.65 = 1.45.
3/5 + 0.6: Convert the fraction to a decimal: 0.6. Then, 0.6 + 0.6 = 1.2.

Final Answer: The results for each expression are detailed in the table above.