Multiply numbers ending in zeroes: word problems

Learning Objectives Identify key information and operations in word problems involving multiplication. Apply efficient strategies for multiplying numbers that end in one or more zeroes. Solve multi-step word problems requiring the multiplication of numbers ending in zeroes. Estimate products of numbers ending in zeroes to check the reasonableness of their answers. Interpret and state the results of multiplication in the context of a given word problem. Formulate mathematical expressions from real-world scenarios involving multiplication of numbers ending in zeroes. Ever wondered how stores quickly calculate the total cost when you buy multiple items that cost, say, $20 each? 💰 It's all about multiplying numbers ending in zeroes! In this lesson, you'll learn effic...

TermDefinitionExample ProductThe result obtained when two or more numbers are multiplied together.In $5 imes 10 = 50$, the number 50 is the product. FactorA number that is multiplied by another number to get a product.In $5 imes 10 = 50$, the numbers 5 and 10 are factors. Word ProblemA mathematical problem presented in a narrative or story form, requiring careful reading to identify the quantities and operations needed.If John earns $20 per hour and works 10 hours, how much does he earn? This is a word problem. Place ValueThe value of a digit based on its position in a number (e.g., in 200, the '2' represents 2 hundreds).In the number 3,000, the digit '3' is in the thousands place, giving it a value of three thousand. Trailing ZeroesZeroes that appear at the end of a...

Multiplying Numbers Ending in Zeroes To multiply numbers ending in zeroes, first multiply the non-zero digits. Then, count the total number of zeroes at the end of all the factors and attach that many zeroes to the product of the non-zero digits. Mathematically: $A imes B = (A' imes B') imes 10^k$, where $A'$ and $B'$ are the non-zero parts of $A$ and $B$, and $k$ is the total count of trailing zeroes in $A$ and $B$. This rule simplifies multiplication by allowing you to focus on the significant digits first, then correctly account for the magnitude represented by the zeroes. For example, $30 imes 200 = (3 imes 2)$ followed by $1+2=3$ zeroes, so $6000$. Word Problem Solving Strategy 1. Understand the Problem: Read carefully, identify what's given...