Unit 2: Ratios, Decimals & Percents
Integers & Absolute Value
Watch these videos when your confused:
Comparing and Ordering Integers Using a Number Line
Ordering Negative Numbers
Watch these videos when your confused:
Comparing and Ordering Integers Using a Number Line
Ordering Negative Numbers
Comparing and Ordering Decimals
Watch this video when your confused: Comparing & Ordering Decimals Video
Watch this video when your confused: Comparing & Ordering Decimals Video
In order to compare decimals you must consider the place value of each digit.
We can use this method to see which decimals are bigger:
- Set up a table with the decimal point in the same place for each number.
- Put in each number.
- Fill in the empty squares with zeros.
- Compare using the first column on the left.
- If the digits are equal move to the next column to the right until one number wins.
Comparing & Ordering Fractions
Ratios
A ratio compares two values.
A ratio may be a part to part comparison or a part to whole comparison.
A ratio can be written in 3 ways: (1) like a fraction, (2) using a colon : and (3) using the word "to".
Example:
-There are 12 girls and 9 boys in a class. 12 and 9 can both be equally divided by 3. 12/3 = 4 and 9/3 = 3.
-A ratio comparing the girls to the boys (a part to a part comparison) would be: 4/3, 4:3 or 4 to 3.
-A ratio comparing the girls to the total number of students in the class (a part to whole comparison) would first require you to determine the total number of students in the class: 12 + 9 = 21. Then, determine if 12 (the number of girl students) and 21 (the total number of students) share a common factor. In this case, they can both be divided by 3. 12/3 = 4 and 21/3 = 7. Then, you can write the ratio: 4/7, 4:7 or 4 to 7.
A ratio compares two values.
A ratio may be a part to part comparison or a part to whole comparison.
A ratio can be written in 3 ways: (1) like a fraction, (2) using a colon : and (3) using the word "to".
Example:
-There are 12 girls and 9 boys in a class. 12 and 9 can both be equally divided by 3. 12/3 = 4 and 9/3 = 3.
-A ratio comparing the girls to the boys (a part to a part comparison) would be: 4/3, 4:3 or 4 to 3.
-A ratio comparing the girls to the total number of students in the class (a part to whole comparison) would first require you to determine the total number of students in the class: 12 + 9 = 21. Then, determine if 12 (the number of girl students) and 21 (the total number of students) share a common factor. In this case, they can both be divided by 3. 12/3 = 4 and 21/3 = 7. Then, you can write the ratio: 4/7, 4:7 or 4 to 7.
Unit Rate & Equivalent Rates
Unit Rate is the ratio of two measurements in which the second term is 1.
Examples:
Price per item
Miles per gallon
Minutes per mile
Miles per hour
Items per container
Money earned per hour
Unit Rate is the ratio of two measurements in which the second term is 1.
Examples:
Price per item
Miles per gallon
Minutes per mile
Miles per hour
Items per container
Money earned per hour
Percents
Converting between Fractions, Decimals, and Percents
If your still struggling check out this video: Converting between, Decimals, Fractions, and Percents