Size Comparisons Using Percentages. One hundred percent of something is the ENTIRE THING. One hundred percent of 1 is 1. One hundred percent of 100 is.

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Presentation transcript:

Size Comparisons Using Percentages

One hundred percent of something is the ENTIRE THING. One hundred percent of 1 is 1. One hundred percent of 100 is 100. One hundred percent of 621 is 621. One hundred percent of is. So, an object one hundred percent larger than would have to be Since we have increased the size of the original block by 100% of itself.

Two Common Ways to Say the Same Thing is two times the size of or we can say is 100% larger than is three times the size of or we can say is 200% larger than

Quiz: 3 is ____ times the size of 1. 3 is ____ % larger than 1. 5 is ____ times the size of 1. 5 is ____ % larger than 1. 8 is ____ times the size of 2. 8 is ____ % larger than 2. 5 is ____ times the size of 2. 5 is ____ % larger than 2.

Let’s think about that last one with blocks: 50% 100% 5 is 150% larger than 2. In order to get 5 blocks from two, you must add on two blocks (100% of the original two) and then one block (50% of the original two), so 150% altogether.

Another Quiz 10 is ____ times the size of is ____ % larger than is ____ times the size of is ____ % larger than is ____ times the size of is ____ % larger than is ____ times the size of is ____ % larger than 6.

Two Ways of Comparing A to B. To fill in: A is ____ times the size of B just compute A÷B. To fill in: A is ____ % larger than B just computer (A÷B) – 1 turn this into a percentage by multiplying by 100%.

Try the following examples to practice this idea: A = 21 and B = 6 21 is ____ times the size of 6. A ÷ B = 21 ÷ 6 = 3.5 So, 21 is 3.5 times the size of 6.

Try the following examples to practice this idea: A = 21 and B = 6 21 is ____ % more than 6. (A÷B) – 1 = (21 ÷ 6) – 1 = 3.5 – 1 = * 100% = 250%

Exercises: A = 30, B = 5 30 is ____ times the size of is ____ % larger than 5. A = 91, B = is ____ times the size of is ____ % larger than 67. A = 4417, B = is ____ times the size of is ____ % larger than 132.