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Decimals Math: Equations, Mean, Median, Mode Explained

Explore solving equations with decimals and learn about mean, median, and mode for better number understanding. Discover the average, middle, and repeated values with practical examples and explanations to enhance your math skills. Grasp the concepts effectively for improved problem-solving abilities.

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Decimals Math: Equations, Mean, Median, Mode Explained

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  1. 5.6 – Solving Equations with Decimals 0.17x = -0.34 Z + 0.9 = 1.3 -0.9 -0.9 0.17x = -0.34 Z = 0.4 0.17 0.17 x= - 2 2.9 = 1.7 + 0.3x -1.7 -1.7 1.2 = 0.3x 1.2 = 0.3x 0.3 0.3 4 = x

  2. 5.6 – Solving Equations with Decimals 8x + 4.2 = 10x + 11.6 -8x -8x 4.2 = 2x + 11.6 4.2 = 2x + 11.6 -11.6 -11.6 -7.4 = 2x -7.4 = 2x 2 2 -3.7 = x

  3. 5.6 – Solving Equations with Decimals 6.3 – 5x = 3(x + 2.9) 6.3 – 5x = 3x + 8.7 +5x +5x 6.3 = 8x + 8.7 6.3 = 8x + 8.7 -8.7 -8.7 -2.4 = 8x -2.4 = 8x 8 8 -0.3 = x

  4. 5.6 – Solving Equations with Decimals 0.2y + 2.6 = 4 .0 -2.6 -2.6 0.2y = 1.4 0.2y = 1.4 0.2 0.2 Y = 7

  5. 5.7 – Decimals – Mean, Median and Mode Measures of Central Tendency Mean: The average of a set of numbers. Find the mean (average) of the values 2, 4, 5, 2, 6 8 . 3 15 4 0 40 The mean (average) of the values is 3.8.

  6. 5.7 – Decimals – Mean, Median and Mode Measures of Central Tendency Median: The middle value of a list of numbers in numerical order. *If the list has an odd number of items, then the median is the middle value. *If the list has an even number of items, then the median is the mean of the two middle values. What is the median? 26, 31, 15, 30, 18, 28 26, 31, 15, 30, 18 15, 18, 26, 28, 30, 31 15, 18, 26, 30, 31 Median is 26 27 Median is 27

  7. 5.7 – Decimals – Mean, Median and Mode Measures of Central Tendency Mode: The value or values of a list of numbers that repeat the most. 14, 22, 45, 23, 45, 88, 12, 34, 45, 23, 45, 18 12, 14, 18, 22, 23, 23, 34, 45, 45, 45, 45, 88 Mode = 45

  8. 5.7 – Decimals – Mean, Median and Mode Measures of Central Tendency Find the mean, median and mode of the following numbers: 26, 31, 15, 26, 15, 16, 15, 28 15, 15, 15, 16, 26, 26, 28, 31 Mean – round to tenths Median Mode The mode =15 16 +26 2 3 . 2 1 7 42 16 2 1 1 8 21 0 3 24 0 6 The median =21 The mean =21.4

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