Using Place Value to Add Two Digit Numbers (Regrouping)

"Look at all these seeds I found, Imani!" "Hmm, how many different combinations can I make with them?" "Using place value to add two digit numbers, regrouping." Mr. Squeaks and Imani are planting seeds. They can use place value with regrouping to find out the different combinations of seeds they have. Mr. Squeaks wants to start a planter box with tulips and clovers. If he has twenty-four tulip seeds, and thirty-six clover seeds, how many seeds will he plant? There are many different addition strategies and tools we can use. One of those is using place value. Place value is the value each digit has depending on where it is in the number. When adding with place value, start by representing, or showing, the addends with base ten blocks. Remember ADDENDS are the numbers we are adding together. Next, add the ones place blocks from each addend. We will add four plus six, which equals ten! When we add the ones place and get ten or more we MUST move it to the tens place. This is called regrouping. Once we add the ones place blocks from each addend, we can add the tens rods! We have two tens rods from twenty-four and three tens rods from thirty-six. But wait! We also have the ten we made from the ones. What is two plus three plus one? Six! Finally, add the tens and ones together to find the answer, or sum. We have six tens and zero ones, which means our answer is sixty. Now Mr. Squeaks is preparing a planter bed of roses and clovers. If he has thirty-seven rose seeds and thirty-five clover seeds, how many seeds will he plant? Remember, first we need to represent our addends with base ten blocks. Next, add your ones place blocks together. We will add seven from thirty-seven and five from thirty-five together. Seven plus five equals twelve, so we need to regroup to make a ten, and the two that are leftover will stay in the ones place. Then, we can add the tens rods. That means we need to add three tens from thirty-seven and three tens from thirty-five together. Don't forget to add the ten we regrouped! Three plus three plus one equals seven, so we will have seven tens representing seventy. Finally add the tens and ones together to find the sum. Seventy plus two equals seventy-two. Finally, Mr. Squeaks wants to combine forty-five tulip seeds and thirty-eight rose seeds. Let's use place value to add!

Start by representing our addends with base ten blocks. Next, we can add the ones from each addend together. Five plus eight equals thirteen, so we'll need to regroup to make a ten and will have three left in the ones place. Then, add the tens rods. Don't forget the ten that we regrouped! We will have eight rods representing eighty. Finally add the tens and ones together to find the sum. What is eighty plus three? Eighty-three! Mr. Squeaks and Imani are ready to see how their plants are doing. But before that, let's review. When adding using place value and regrouping, remember, start by representing the addends with base ten blocks. Next, add the ones place blocks from each addend together. If you can make a ten with the ones blocks, regroup, or move it to the tens place. Then, add the tens rods together. Finally add the tens and ones together to find the sum. Now, let's see those plants!

"You're right Imani, those WERE some magic seeds!