Addition patterns over increasing place values

Learning Objectives Identify which digit changes when adding 10, 100, or 1000 to a number. Mentally add 10 or 100 to any given number up to 1,000. Solve addition problems by recognizing and applying place value patterns. Explain how adding to one place value can affect a larger place value (e.g., 392 + 10). Complete number sequences that follow a +10 or +100 pattern. Apply place value understanding to solve word problems involving these patterns. If you have 245 coins in your video game and you find a treasure chest with 100 more, how many do you have now? 🪙 Let's learn a super-fast way to find out! In this lesson, we will explore a cool math shortcut! You will learn how adding numbers like 10, 100, and 1000 creates a simple pattern that makes adding big numbers in yo...

TermDefinitionExample Place ValueThe value of a digit based on its position in a number. The same digit can have a different value depending on where it is.In the number 582, the '5' is in the hundreds place and means 500. The '8' is in the tens place and means 80. The '2' is in the ones place and means 2. DigitAny of the numerals from 0 to 9 that are used to build numbers.The number 347 is made up of three digits: 3, 4, and 7. Ones PlaceThe position of the digit farthest to the right in a whole number. It tells you how many single units there are.In 624, the digit in the ones place is 4. Tens PlaceThe position of the digit to the left of the ones place. It tells you how many groups of ten there are.In 624, the digit in the tens place is 2. Hundreds PlaceThe...

The Add 10 Pattern n + 10 When you add 10 to a number, the digit in the tens place increases by 1. The digits in the other places (like ones and hundreds) stay the same, unless the tens digit was a 9. The Add 100 Pattern n + 100 When you add 100 to a number, the digit in the hundreds place increases by 1. The digits in the other places (like ones and tens) stay the same, unless the hundreds digit was a 9. The Regrouping Pattern When a place value digit is 9, adding to it makes it 0 and the next higher place value increases by 1. This is also called 'carrying over'. If you add 10 to a number with a 9 in the tens place (like 195), the tens place becomes 0, and you add 1 to the hundreds place.