Multiply three or more numbers, one of which is a decimal

Learning Objectives Identify the factors and the total number of decimal places in a multiplication problem involving three or more numbers. Apply the rules for multiplying decimals to find the product of three or more numbers. Utilize the commutative and associative properties of multiplication to simplify calculations involving multiple factors. Estimate the product of three or more numbers, including decimals, to check for reasonableness. Accurately place the decimal point in the final product after multiplying multiple numbers. Solve real-world problems that require multiplying three or more numbers, one of which is a decimal. Have you ever needed to calculate the total cost of several items, where some prices aren't whole dollars, or figure out the volume of a box...

TermDefinitionExample FactorA number that is multiplied by another number to find a product.In $2 imes 3.5 imes 4$, the numbers 2, 3.5, and 4 are factors. ProductThe result obtained when two or more numbers are multiplied together.The product of $2 imes 3.5 imes 4$ is 28. Decimal PlaceThe position of a digit to the right of the decimal point.In 3.5, the digit 5 is in the first decimal place. In 0.25, the digits 2 and 5 are in the first and second decimal places, respectively. Commutative Property of MultiplicationThis property states that changing the order of the factors does not change the product.$2 imes 3.5 imes 4 = 4 imes 2 imes 3.5 = 28$. The order of multiplication does not affect the final answer. Associative Property of MultiplicationThis property states that changing the...

Rule for Multiplying Decimals 1. Multiply the numbers as if they were whole numbers. 2. Count the total number of decimal places in all the factors. 3. Place the decimal point in the product so that it has the same total number of decimal places. This rule is fundamental for correctly placing the decimal point in your final answer when multiplying any number of decimals. Commutative Property of Multiplication $a \times b = b \times a$ This property allows you to multiply numbers in any order, which can be helpful for simplifying calculations or choosing an easier sequence (e.g., multiplying whole numbers first). Associative Property of Multiplication $(a \times b) \times c = a \times (b \times c)$ This property allows you to group factors in any way when multiplying...