Multiply by a multiple of ten

Learning Objectives Identify multiples of ten from 10 to 90. Multiply any single-digit number by a multiple of ten (e.g., 7 x 40). By the end of of this lesson, students will be able to use place value to explain why multiplying by 30 is the same as multiplying by 3 and then by 10. Apply the associative property to break down problems (e.g., 5 x 60 = 5 x 6 x 10). Solve one-step word problems that involve multiplying by a multiple of ten. Accurately use the 'zero trick' as a shortcut and explain why it works. If one box holds 20 crayons, how many crayons are in 4 boxes? 🖍️ Let's learn a super-fast trick to solve problems like this! In this lesson, you will learn a simple pattern for multiplying a single-digit number by a multiple of ten, like 30, 50, or 80. Th...

TermDefinitionExample Multiple of TenA number you get when you multiply a whole number by 10. These numbers always end in a zero.20, 30, 40, 50, and 60 are all multiples of ten because 2x10=20, 3x10=30, and so on. FactorA number that is multiplied with another number to get a product.In the problem 6 x 30 = 180, the numbers 6 and 30 are the factors. ProductThe answer you get when you multiply two or more numbers together.In the problem 6 x 30 = 180, the number 180 is the product. Basic FactA simple multiplication problem using single-digit numbers that we often memorize.3 x 4 = 12 is a basic fact. We can find it inside the problem 3 x 40. Place ValueThe value of a digit based on its position in a number. It tells us if a digit means ones, tens, hundreds, etc.In the number 180, the 1 is in...

The Zero Trick Pattern a \times (b \times 10) = (a \times b) \times 10 To multiply a number by a multiple of ten, first multiply the non-zero digits (the basic fact). Then, place a zero at the end of your answer. This is the main shortcut. Decomposition Rule a \times 40 = a \times 4 \times 10 This rule shows WHY the zero trick works. You can break apart the multiple of ten into its factors (e.g., 40 becomes 4 x 10). This makes the problem easier to solve in steps.