Multiply numbers ending in zeroes

Learning Objectives Multiply a single-digit number by multiples of 10, 100, and 1000. Multiply two multi-digit numbers that both end in one or more zeroes. Identify the non-zero digits in factors to simplify multiplication. Count the total number of zeroes in the factors and annex them to the product. Explain the pattern that occurs when multiplying by powers of 10. Solve word problems involving the multiplication of numbers ending in zeroes. If a video game gives you 50 coins for every level you beat, how many coins would you have after beating 200 levels? 🪙 Let's learn a super-fast trick to find out! In this lesson, you will learn a shortcut for multiplying big numbers that end in zeroes. This cool trick, sometimes called the 'zero trick,' will help you so...

TermDefinitionExample FactorA number that is multiplied with another number to get a product.In 70 x 300 = 21,000, the numbers 70 and 300 are the factors. ProductThe answer you get when you multiply two or more numbers together.In 70 x 300 = 21,000, the number 21,000 is the product. Non-Zero DigitsThe digits in a number that are not 0 (the digits 1 through 9).In the number 600, the non-zero digit is 6. Annexing ZeroesThe action of adding or attaching zeroes to the end of a number.If you multiply 5 x 3 to get 15, and then annex two zeroes, you get 1,500. Multiple of 10Any number that can be made by multiplying 10 by a whole number. These numbers always end in a 0.20, 90, 150, and 2,000 are all multiples of 10.

The Zero Annexing Rule Step 1: Multiply the non-zero parts of the factors. Step 2: Count the total number of zeroes at the end of the factors. Step 3: Annex that many zeroes to the end of your product from Step 1. Use this three-step rule whenever you are multiplying two numbers that end in one or more zeroes. It breaks a big problem into two easy parts. The Pattern of Tens N \times 10 = N0; N \times 100 = N00; N \times 1000 = N000 When multiplying any whole number (N) by 10, 100, or 1000, you simply annex the same number of zeroes to the end of that number. Multiplying by 10 adds one zero, by 100 adds two zeroes, and so on.