Answer:
1. 0.04b. <u>0.04b is 2% of 2b. It is smaller than 2b by 98%.</u>
2. 0.2b. <u>0.2b is 10% of 2b. It is smaller than 2b by 90%.</u>
3. 0.56b. <u>0.56b is 28% of 2b. It is smaller than 2b by 72%.</u>
<u>4. </u>1.8b. <u>1.8b is 90% of 2b. It is smaller than 2b by 10%.</u>
<u>5. </u>2.5b. <u>2.5b is 125% of 2b. It is larger than 2b by 25%.</u>
<u>6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.</u>
Step-by-step explanation:
1. 0.04b
<u>For all the cases, we will use Rule of Three, this way.</u>
Percentage * 2 = 100 * 0.04
Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)
Percentage = 4/2 = 2%
<u>0.04b is 2% of 2b. It is 98% smaller than 2b.</u>
<u>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.</u>
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%
<u>0.2b is 10% of 2b. It is 90% smaller than 2b.</u>
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%
<u>0.56b is 28% of 2b. It is 72% smaller than 2b.</u>
<u>4. </u>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%
<u>1.8b is 90% of 2b. It is 10% smaller than 2b.</u>
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%
<u>2.5b is 125% of 2b. It is 25% larger than 2b.</u>
<u>In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.</u>
<u>6. </u>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%
<u>3b is 150% of 2b. It is 50% larger than 2b.</u>
<u>In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.</u>
