Rational Number Word Problems

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you subtract a negative number from a positive number?

Back

Front

What is the formula to calculate the total cost when there is a base fee and a variable cost per item?

Back

Total Cost = Base Fee + (Cost per Item × Number of Items).

Front

How do you find the remaining amount after a series of deductions?

Back

Subtract the total deductions from the initial amount. For example, if you start with $100 and deduct $20, the remaining amount is $100 - $20 = $80.

Front

What is the process to divide a total amount among a group?

Back

To divide a total amount among a group, divide the total by the number of people. For example, if $60 is shared among 3 people, each person gets $60 ÷ 3 = $20.

Front

How do you calculate the weight of an unknown item when given the total weight and the weights of other items?

Back

Subtract the total weight of known items from the total weight to find the weight of the unknown item. For example, if the total weight is 21.5 pounds and 3 bags of apples weigh 17.1 pounds, then the weight of the oranges is 21.5 - 17.1 = 4.4 pounds.

Front

What does it mean to evenly divide a quantity?

Back

To evenly divide a quantity means to split it into equal parts. For example, if you have 12 slices of pizza and 3 people, each person would get 12 ÷ 3 = 4 slices.

Front

How do you calculate the cost of multiple items with a fixed base fee?

Back

Add the base fee to the total cost of the items. For example, if the base fee is $199.95 and the cost per box is $12.50 for 25 boxes, the total cost is $199.95 + (25 × $12.50).

Front

What is the significance of understanding fractions in word problems?

Back

Understanding fractions helps in solving problems that involve parts of a whole, such as sharing or dividing quantities.

Front

How do you convert a fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.