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17 May, 20:08

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?

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Answer:

0.04b is

% of 2b. It is than 2b by

%

0.2b is

% of 2b. It is than 2b by

%

0.56b is

% of 2b. It is than 2b by

%

1.8b is

% of 2b. It is than 2b by

%

2.5b is

% of 2b. It is than 2b by

%

3b is

% of 2b. It is than 2b by

%

+4
Answers (1)
  1. 17 May, 20:33
    0
    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%.

    Step-by-step 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%.
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