Multiply decimals and whole numbers: word problems

Learning Objectives Identify keywords and phrases in word problems that indicate multiplication of decimals and whole numbers. Translate real-world scenarios involving decimals and whole numbers into mathematical multiplication expressions. Accurately multiply decimal numbers by whole numbers. Estimate the product of a decimal and a whole number to check for reasonableness. Interpret the product in the context of the original word problem. Solve multi-step word problems involving the multiplication of decimals and whole numbers. Ever wonder how stores calculate the total cost when you buy several items that weigh a fraction of a pound? 🛒 It's all about multiplying decimals! In this lesson, you'll learn how to tackle word problems that require multiplying decimals...

TermDefinitionExample DecimalA number that contains a decimal point, representing a part of a whole or a value between whole numbers.3.75, 0.5, 12.01 Whole NumberA number without fractions or decimals, including zero and positive integers.0, 1, 5, 100 Word ProblemA mathematical problem presented in a narrative form, requiring interpretation to solve.If a shirt costs $15.50, how much do 3 shirts cost? ProductThe result obtained when two or more numbers are multiplied together.In 3 x 2.5 = 7.5, the number 7.5 is the product. EstimateTo find an approximate value that is close enough to the correct answer, often by rounding numbers before calculating.Estimating 3 x 2.5 as 3 x 3 = 9. Keywords for MultiplicationWords or phrases in a word problem that often indicate multiplication, such as &#039...

Decimal Multiplication Procedure 1. Ignore the decimal point and multiply the numbers as if they were whole numbers. 2. Count the total number of decimal places in the decimal factor. 3. Place the decimal point in the product so that it has the same number of decimal places as counted in step 2. This rule guides the arithmetic process once you've identified the numbers to multiply in a word problem. Word Problem Interpretation Strategy 1. Read the problem carefully to understand the scenario. 2. Identify what information is given and what needs to be found. 3. Look for keywords that suggest multiplication (e.g., 'each,' 'per,' 'total of' for multiple identical items). 4. Determine the decimal and the whole number involved in the multipli...