Word Problems with Rational Numbers

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 add rational numbers with different signs?

Back

When adding rational numbers with different signs, subtract the absolute values and take the sign of the number with the larger absolute value.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated by adding together the lengths of all four sides, or using the formula: P = 2(length + width).

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the process to solve a word problem involving rational numbers?

Back

1. Read the problem carefully. 2. Identify the known and unknown values. 3. Translate the words into a mathematical expression or equation. 4. Solve the equation. 5. Check your answer in the context of the problem.

Front

What does it mean to order numbers from least to greatest?

Back

Ordering numbers from least to greatest means arranging them in ascending order, starting with the smallest number and ending with the largest.

Front

How do you find the total after giving away items?

Back

To find the total after giving away items, subtract the number of items given away from the original total.

Front

What is the significance of negative numbers in word problems?

Back

Negative numbers often represent a decrease or a loss in word problems, such as a drop in temperature or a debt.

Front

How do you interpret a temperature change expressed as a negative number?

Back

A negative temperature change indicates a decrease in temperature. For example, a drop of -2 degrees means the temperature is 2 degrees lower than before.

Front

What is the relationship between percentages and fractions?

Back

Percentages are a way of expressing a number as a fraction of 100. For example, 20% is equivalent to 20/100 or 1/5.