Answer:
1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.
2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.
3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.
4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.
5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.
6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.
Explanation:
1. 0.04b
For all the cases, we will use Rule of Three, this way.
Percentage * 2 = 100 * 0.04
Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)
Percentage = 4/2 = 2%
0.04b is 2% of 2b. It is 98% smaller than 2b.
For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.
2. 0.2b
Again, we will use Rule of Three, this way:
Percentage * 2 = 100 * 0.2
Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)
Percentage = 20/2 = 10%
0.2b is 10% of 2b. It is 90% smaller than 2b.
3. 0.56b
Again, we will use Rule of Three, this way:
Percentage * 2 = 100 * 0.56
Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)
Percentage = 56/2 = 28%
0.56b is 28% of 2b. It is 72% smaller than 2b.
4. 1.8b
Again, we will use Rule of Three, this way:
Percentage * 2 = 100 * 1.8
Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)
Percentage = 180/2 = 90%
1.8b is 90% of 2b. It is 10% smaller than 2b.
5. 2.5b
Again, we will use Rule of Three, this way:
Percentage * 2 = 100 * 2.5
Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)
Percentage = 250/2 = 125%
2.5b is 125% of 2b. It is 25% larger than 2b.
In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.
6. 3b.
Again, we will use Rule of Three, this way:
Percentage * 2 = 100 * 3
Percentage = (100 * 3)/2 (Dividing by 2 at both sides)
Percentage = 300/2 = 150%
3b is 150% of 2b. It is 50% larger than 2b.
In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.