BLITZ LOW 6.2 D Convert Fractions into Decimals

In the realm of chemistry, a solution's concentration is often expressed in percentages. If a scientist has a solution with a concentration of 25%, how can this be represented as a decimal and a fraction?

• 2/5

• 0.75

• 0.25, 1/4

• 0.5

Answer explanation

To convert 25% to a decimal, divide by 100: 25% = 0.25. To convert to a fraction, write 0.25 as 1/4. Therefore, 25% is equivalent to 0.25 and 1/4.

Imagine you're a scientist analyzing different concentrations of a chemical solution: 0.75M, 3/4M, 0.7M, 5/8M. Your task is to arrange these concentrations from the highest to the lowest. Can you do it?

• 0.625M, 0.7M, 0.75M, 3/4M

• 0.75M, 0.75M, 0.7M, 0.625M

• 0.7M, 0.75M, 0.625M, 3/4M

• 0.75M, 0.7M, 0.625M, 3/4M

Answer explanation

The correct order from greatest to least is 0.75, 0.75, 0.7, 0.625. The decimals 0.75 and 0.75 are equivalent to 3/4, so they are repeated in the list.

Imagine you're a scientist comparing the growth rates of four different bacterial cultures in a petri dish. The growth rates are as follows: 0.6, 2/3, 0.66, 3/5. Can you arrange these growth rates from the least to the most rapid to determine which culture is proliferating the fastest?

• 0.6, 0.66, 2/3, 3/5

• 0.6, 3/5, 2/3, 0.666

• 0.66, 2/3, 0.6, 3/5

• 3/5, 0.6, 0.66, 2/3

Answer explanation

The correct order from least to greatest is 0.6, 3/5, 2/3, 0.666, matching the sequence in the answer choice '0.6, 3/5, 2/3, 0.666'.

Imagine you're a scientist analyzing a solution that contains 40% of a certain chemical. To accurately report your findings, you need to convert this percentage into its equivalent decimal and fraction. Can you do it?

• 0.4 (decimal) and 3/4 (fraction)

• 0.6 (decimal) and 3/5 (fraction)

• 0.4 (decimal) and 2/5 (fraction)

• 0.5 (decimal) and 3/5 (fraction)

Answer explanation

To convert 40% to a decimal, divide by 100: 40% = 0.4. To convert to a fraction, write 0.4 as 4/10 and simplify to 2/5.

Imagine you're a scientist analyzing samples of different substances that have varying densities: 0.5 g/cm³, 1/2 g/cm³, 0.55 g/cm³, 4/5 g/cm³. Your task is to arrange these substances from the one with the highest density to the one with the lowest. Can you do it?

• 0.55 g/cm³, 0.5 g/cm³, 0.8 g/cm³, 0.5 g/cm³

• 0.5 g/cm³, 0.55 g/cm³, 0.8 g/cm³, 0.5 g/cm³

• 0.8 g/cm³, 0.55 g/cm³, 0.5 g/cm³, 0.5 g/cm³

• 0.5 g/cm³, 0.8 g/cm³, 0.55 g/cm³, 0.5 g/cm³

Answer explanation

The correct order from greatest to least is 0.8, 0.55, 0.5, 0.5, as 0.8 is the largest decimal, followed by 0.55, and then the two instances of 0.5.

Imagine you're a scientist comparing the concentration of four different solutions. Arrange these concentrations from the lowest to the highest: 0.25M, 1/4M, 0.3M, 2/5M. Can you determine the correct order?

• 0.3M, 0.25M, 1/4M, 2/5M

• 0.3M, 1/4M, 0.25M, 2/5M

• 0.25M, 1/4M, 0.3M, 2/5M

• 1/4M, 0.25M, 0.3M, 2/5M

Answer explanation

The correct order from least to greatest is 0.25, 1/4, 0.3, 2/5. Therefore, the correct answer is 0.25, 1/4, 0.3, 2/5.

Imagine you're a scientist analyzing a sample that covers 60% of a petri dish. To document your findings accurately, you need to convert 60% into its equivalent decimal and fraction. Can you do it?

• 0.7 (decimal) and 7/10 (fraction)

• 0.6 (decimal) and 3/5 (fraction)

• 0.4 (decimal) and 4/10 (fraction)

• 0.5 (decimal) and 2/5 (fraction)

Answer explanation

To convert 60% to a decimal, divide by 100: 60% = 60/100 = 0.6. To convert to a fraction, simplify 0.6 to 3/5.

Imagine you're a scientist analyzing different concentrations of a chemical solution. Your task is to arrange these concentrations from the highest (most concentrated) to the lowest (least concentrated): 0.8, 4/5, 0.85, 17/20. Can you determine the correct order based on their values?

• 0.85, 17/20, 0.8, 4/5

• 0.85, 4/5, 0.8, 17/20

• 0.8, 17/20, 0.85, 4/5

• 4/5, 0.8, 0.85, 17/20

Answer explanation

The fractions and decimals from greatest to least are 0.85, 17/20, 0.8, 4/5. Therefore, the correct order is 0.85, 17/20, 0.8, 4/5.

Imagine you're a scientist comparing the concentration of four different solutions. Arrange these concentration values from the lowest to the highest: 0.125 M, 1/8 M, 0.15 M, 3/20 M. Can you accurately rank them?

• 3/20 M, 0.15 M, 0.125 M, 1/8 M

• 1/8 M, 0.125 M, 0.15 M, 3/20 M

• 0.15 M, 0.125 M, 1/8 M, 3/20 M

• 0.125 M, 0.15 M, 3/20 M, 1/8 M

Answer explanation

The correct order from least to greatest is 1/8, 0.125, 0.15, 3/20. When converted to decimals, 1/8 = 0.125, 0.15 is greater than 0.125, and 3/20 is greater than 0.15.

In the realm of chemistry, a solution contains 75% of a certain solute. Can you express this concentration in its precise decimal and traditional fraction form?

• 0.63 (decimal) and 2/3 (fraction)

• 0.75 (decimal) and 3/4 (fraction)

• 0.85 (decimal) and 5/6 (fraction)

• 0.57 (decimal) and 4/7 (fraction)

Answer explanation

The correct decimal equivalent of 75% is 0.75, and the correct fraction equivalent is 3/4, making the second choice the right answer.