How to Perform Operations of Decimals and Whole Numbers: Word Problems

Decimals, Whole Numbers, and Word Problems

A decimal number is a number that contains a decimal point. It represents a whole part and a fraction of a whole. A whole number, on the other hand, is a number without any fractional part, including zero.

Word problems are mathematical problems presented in the form of a story or a real-life scenario. They require you to identify the necessary operations to solve the problem, which could be addition, subtraction, multiplication, or division.

Step-By-Step Guide to Solving Word Problems Involving Operations of Decimals and Whole Numbers

Step 1: Understand the Problem

Read the problem carefully and identify what you’re being asked to find. Recognize the key information provided.

Step 2: Plan the Solution

Decide which mathematical operation(s) you’ll need to use to solve the problem.

Step 3: Carry Out the Plan

Perform the operation(s). Ensure you place the decimal correctly when dealing with decimal numbers.

Step 4: Check the Solution

Finally, check your answer. Does it make sense in the context of the problem? If yes, you’ve likely found the correct solution.

Example:

Let’s try a word problem: Lisa has \($10\). She bought a pen for \($2.85\). How much money does Lisa have left?

Step 1: We’re asked to find out how much money Lisa has left after buying a pen.

Step 2: Since she spent money on the pen, we need to subtract the cost of the pen from the amount of money she had.

Step 3: Perform the subtraction: \($10.00\ – $2.85 = $7.15\). So, Lisa has \($7.15\) left.

Step 4: Check the answer. Lisa had \($10\) and spent less than that amount, so it makes sense that she would have over \($7\) left.

Don’t worry if you don’t get it right away! With practice, solving word problems involving operations of decimals and whole numbers will become second nature. Keep practicing and stay curious!