5.6 – Solving Equations with Decimals

Z + 0.9 = 1.3 -0.9 -0.9

Z = 0.4

0.17x = -0.34

0.17x = -0.340.17 0.17

x = - 2

2.9 = 1.7 + 0.3x -1.7 -1.71.2 = 0.3x1.2 = 0.3x

0.3 0.34 = x

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

5.6 – Solving Equations with Decimals

6.3 – 5x = 3(x + 2.9)

+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

6.3 – 5x = 3x + 8.7

5.6 – Solving Equations with Decimals

0.2y + 2.6 = 4-2.6 -2.6

0.2y = 1.4

0.2 0.2

Y = 7

.0

0.2y = 1.4

itemsofnumber

itemstheofsumMean

00.195

Find the mean (average) of the values 2, 4, 5, 2, 6

3

154

.

0

5.7 – Decimals – Mean, Median and ModeMeasures of Central Tendency

Mean: The average of a set of numbers.

62542 Mean

5 5

19

8

40The mean (average) of the values is 3.8.

2

2826

26, 31, 15, 30, 18

27

5.7 – Decimals – Mean, Median and ModeMeasures 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?

15, 18, 26, 30, 31

26, 31, 15, 30, 18, 2815, 18, 26, 28, 30, 31

Median is 26 2

54

Median is 27

14, 22, 45, 23, 45, 88, 12, 34, 45, 23, 45, 18

Mode = 45

5.7 – Decimals – Mean, Median and ModeMeasures of Central Tendency

Mode: The value or values of a list of numbers that repeat the most.

12, 14, 18, 22, 23, 23, 34, 45, 45, 45, 45, 88

00.1718

Mean – round to tenths

2

161

.

1

5.7 – Decimals – Mean, Median and ModeMeasures of Central Tendency

Find the mean, median and mode of the following numbers:

8

2815161526153126

8

171 3

8

The mean =21.4

26, 31, 15, 26, 15, 16, 15, 2815, 15, 15, 16, 26, 26, 28, 31

Median Mode

1

3 0246 0

7

16 +262

422

21

The median =21

The mode =15