Multiply numbers ending in zeroes

Learning Objectives Identify numbers ending in zeroes. Understand the role of place value when multiplying numbers ending in zeroes. Apply the 'count the zeroes' strategy to simplify multiplication. Accurately multiply multi-digit numbers where one or both factors end in zeroes. Solve real-world problems involving the multiplication of numbers ending in zeroes. Estimate products of numbers ending in zeroes to check for reasonableness. Ever wonder how stores quickly calculate the cost of 20 items at $5 each, or how many pages are in 30 books with 100 pages each? 🛍️ It's all about multiplying numbers ending in zeroes! In this lesson, you'll discover simple tricks and strategies to multiply numbers that have zeroes at the end, making big calculations much f...

TermDefinitionExample FactorA number that is multiplied by another number to get a product.In $5 imes 10 = 50$, 5 and 10 are the factors. ProductThe result obtained when two or more numbers are multiplied together.In $5 imes 10 = 50$, 50 is the product. Place ValueThe value of a digit based on its position in a number (e.g., the '2' in 200 has a value of two hundreds).In the number 300, the '3' is in the hundreds place, giving it a value of 300. The zeroes hold the tens and ones places. Trailing ZeroesZeroes that appear at the very end of a whole number.In the number 4,500, there are two trailing zeroes. Base Numbers (Non-Zero Parts)The part of a number ending in zeroes that consists of its non-zero digits.For the number 300, the base number is 3. For 120, the base n...

Multiplying by Powers of Ten $a \times 10^n = a \underbrace{00...0}_{n \text{ zeroes}}$ To multiply any number by 10, 100, 1000, or any power of ten, simply write the original number and then attach the same number of zeroes as there are in the power of ten. For example, $15 \times 100 = 1500$ (15 with two zeroes). The 'Count the Zeroes' Strategy $(A \times 10^m) \times (B \times 10^n) = (A \times B) \times 10^{(m+n)}$ When multiplying two numbers that end in zeroes, first ignore all the trailing zeroes and multiply the non-zero parts (base numbers) of the numbers. Then, count the total number of trailing zeroes from both original factors. Finally, attach that total number of zeroes to the product of the base numbers.