Multiply a decimal by a one-digit whole number

Learning Objectives Identify the decimal and whole number factors in a multiplication problem. Multiply a decimal by a one-digit whole number as if they were whole numbers. Correctly count the number of decimal places in the decimal factor. Accurately place the decimal point in the product of a decimal and a one-digit whole number. Solve real-world problems involving the multiplication of decimals by one-digit whole numbers. Estimate the product of a decimal and a one-digit whole number to check for reasonableness. Ever wondered how stores calculate the total cost when you buy 3 items that each cost $2.75? 🛍️ It's all about multiplying decimals! In this lesson, you'll learn a straightforward method to multiply any decimal number by a single-digit whole number. Mas...

TermDefinitionExample DecimalA number that contains a decimal point, representing a fractional part of a whole. For example, 3.14 or 0.5.In the number 5.75, '5' is the whole number part and '.75' is the decimal part. Whole NumberA number without fractions or decimals. Whole numbers include 0, 1, 2, 3, and so on.In the problem 3.25 × 4, '4' is the one-digit whole number. Decimal PointThe symbol ('.') used to separate the whole number part from the fractional part of a decimal number.In 12.8, the decimal point separates the '12' from the '8'. ProductThe result obtained when two or more numbers are multiplied together.In 3 × 4 = 12, '12' is the product. Decimal PlacesThe number of digits to the right of the decimal point i...

Rule 1: Multiply as Whole Numbers To multiply a decimal by a one-digit whole number, first ignore the decimal point and multiply the numbers as if they were both whole numbers. This simplifies the initial multiplication step, allowing you to use your existing whole number multiplication skills. For example, for $3.2 \times 4$, you would initially calculate $32 \times 4$. Rule 2: Place the Decimal Point Count the total number of decimal places in the decimal factor. Then, place the decimal point in the product so that it has the same number of decimal places. This step ensures the product has the correct value. If the decimal factor has 'n' decimal places, the product must also have 'n' decimal places. For example, if $3.2$ has one decimal place, the produ...