6th Grade math

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total cost?

Back

To find the unit rate, divide the total cost by the number of units. For example, if 5 apples cost $2.00, the unit rate is $2.00 ÷ 5 = $0.40 per apple.

Front

What is the formula to find the cost of a different weight based on a known weight and cost?

Back

To find the cost of a different weight, use the formula: (Cost of known weight / Known weight) × Desired weight.

Front

How do you convert a decimal to a percent?

Back

To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign. For example, 0.77 × 100 = 77%.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you find the inverse of a ratio?

Back

To find the inverse of a ratio, simply switch the two numbers. For example, the inverse of the ratio 21:32 is 32:21.

Front

If the ratio of dogs to hogs is 45:89, what is the ratio of hogs to dogs?

Back

The ratio of hogs to dogs is the inverse of the original ratio, which is 89:45.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

How do you simplify the ratio 21:32?

Back

The ratio 21:32 is already in simplest form because there are no common factors other than 1.

Front

What is the relationship between fractions and ratios?

Back

Fractions can be expressed as ratios, where the numerator represents one part and the denominator represents the whole.