Word Problems Involving Whole Numbers

Study Notes

Addition Word Problems: Involve combining two or more whole numbers to find a total or a sum.
Subtraction Word Problems: Involve finding the difference between two whole numbers.
Multiplication Word Problems: Involve finding the product of two or more whole numbers.
Division Word Problems: Involve dividing a whole number into equal parts or groups.

Read the Problem Carefully: Identify the key elements, including the numbers, operation, and question being asked.
Identify the Operation: Determine which operation (addition, subtraction, multiplication, or division) is required to solve the problem.
Use Visual Models: Draw diagrams, number lines, or other visual aids to help represent the problem and find the solution.
Check the Reasonableness: Verify that the answer makes sense in the context of the problem.

Addition: "Tom has 15 pencils in his pencil case. He adds 7 more pencils. How many pencils does Tom have now?"
Subtraction: "Sarah has 25 stickers in her collection. She gives 5 stickers to her friend. How many stickers does Sarah have left?"
Multiplication: "A bookshelf has 5 shelves, and each shelf can hold 8 books. How many books can the bookshelf hold in total?"
Division: "A pizza has 16 slices, and 4 people want to share it equally. How many slices of pizza will each person get?"

Use Keywords: Identify keywords such as "total", "difference", "product", or "equal groups" to help determine the operation required.
Break Down the Problem: Break down complex problems into simpler, more manageable parts.
Check the Units: Ensure that the units of the answer match the units of the problem (e.g., if the problem is about pencils, the answer should be in terms of pencils, not apples).

There are four types of word problems: addition, subtraction, multiplication, and division.

Addition Word Problems: Combine two or more whole numbers to find a total or a sum.
Subtraction Word Problems: Find the difference between two whole numbers.
Multiplication Word Problems: Find the product of two or more whole numbers.
Division Word Problems: Divide a whole number into equal parts or groups.

Read the Problem Carefully: Identify key elements, including numbers, operation, and question being asked.
Identify the Operation: Determine the required operation (addition, subtraction, multiplication, or division) to solve the problem.
Use Visual Models: Draw diagrams, number lines, or other visual aids to represent the problem and find the solution.
Check the Reasonableness: Verify that the answer makes sense in the context of the problem.

Addition: Tom has 15 pencils and adds 7 more; find the total number of pencils.
Subtraction: Sarah has 25 stickers and gives 5 away; find the number of stickers left.
Multiplication: A bookshelf has 5 shelves, each holding 8 books; find the total number of books it can hold.
Division: A pizza has 16 slices, and 4 people want to share it equally; find the number of slices each person gets.

Use Keywords: Identify keywords like "total", "difference", "product", or "equal groups" to determine the required operation.
Break Down the Problem: Break down complex problems into simpler, manageable parts.
Check the Units: Ensure the units of the answer match the units of the problem.

Start with the hundreds place, then the tens place, and finally the ones place.
Use commas to separate thousands, millions, and billions.
Example: 123,456 can be written as "one hundred twenty-three thousand four hundred fifty-six".

Use the standard place value system: Units (ones), Tens, Hundreds, Thousands, Ten-thousands, and so on.
Example: The whole number 567 can be written as 5 hundreds, 6 tens, and 7 ones.