Multiply by 10

Learning Objectives Identify the pattern when multiplying a whole number by 10. Explain that multiplying by 10 shifts a digit one place to the left in place value. Solve multiplication equations with 10 as a factor (e.g., 7 x 10 = ?). Find the unknown factor in a multiplication equation involving 10 (e.g., ? x 10 = 50). Use the 'multiply by 10' skill to solve one-step word problems. Model multiplication by 10 using drawings of arrays or base-ten blocks. If you have 4 shiny dimes, how many cents do you have? Let's find out using a super-fast math trick! 🪙 In this lesson, you will learn a simple and powerful rule for multiplying any number by 10. This is a special 'math superpower' that will help you solve problems much faster and understand bigger n...

TermDefinitionExample MultiplyTo combine equal groups to find the total amount. The symbol for multiplication is 'x'.3 groups of 10 is the same as 3 x 10. FactorA number that is multiplied by another number to find a product.In the equation 8 x 10 = 80, the numbers 8 and 10 are the factors. ProductThe answer you get when you multiply two or more numbers together.In the equation 8 x 10 = 80, the number 80 is the product. Place ValueThe value of a digit based on its position in a number, such as the ones place or the tens place.In the number 40, the 4 is in the tens place, so it means 4 tens. Zero as a PlaceholderThe number 0 is used to hold a place in a number when there is no other digit there.In the number 70, the 0 holds the ones place, showing that there are 7 tens and 0 ones...

The 'Add a Zero' Rule n \times 10 = n0 When you multiply any whole number (n) by 10, you can find the answer quickly by writing the number and placing a zero at the end of it. The Place Value Shift Rule n \text{ ones} \times 10 = n \text{ tens} This rule explains WHY the 'Add a Zero' rule works. Multiplying by 10 makes a number 10 times bigger, so each digit shifts one place to the left. For example, 5 ones become 5 tens, which is 50. The Commutative Property a \times 10 = 10 \times a This rule means you can multiply numbers in any order and still get the same answer. 7 x 10 is the same as 10 x 7.