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**Add and Subtract Multiples of 100**

Lesson 5.2:

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Place Value Show 1 hundred, 4 tens, and 2 ones in chips on a place value chart. Write the number below it. Say the number in unit form. 1 hundred 4 tens 2 ones Say the number in unit form using only tens and ones. 14 tens 2 ones

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**Place Value Say the number in unit form using only hundreds and ones.**

1 hundred 42 ones Say the number in standard form. 142 Add 2 hundreds to your chart. How many hundreds do you have now? 3 hundreds

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**Place Value What is 200 more than 142? 342**

Add 3 hundreds to 342. How many hundreds do you have now? 6 hundreds What is 300 more than 342? 642

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Place Value Now subtract 4 hundreds from 642. What is 400 less than 642? 242

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**How Many More Hundreds? If I say 300 – 200, you say 100.**

To say it in a sentence, you say, “100 more than 200 is 300.” Ready? 300 – 200 100 Say it in a sentence. 100 more than 200 is 300.

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How Many More Hundreds? Say each answer in a sentence that tells how many more: 405 – 305 801 – 601 650 – 350 825 – 125 999 – 299

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Application Problem Max has 42 marbles in his marble bag after he added 20 marbles at noon. How many marbles did he have before noon? Solution

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**Concept Development Problem 1**

Use your place value chart and base ten blocks. Yesterday we added and subtracted 1 hundred. Today, let’s add 2 hundreds, then 3 hundreds, and more! How many do you see? Say the number in unit form. 1 hundred 2 tens 5 ones Show me this number with your base ten blocks. How much do you see now? 325

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**Concept Development Problem 1**

How can you show this change using your base ten blocks? Add 2 more hundreds Show that on your chart. Now I am going to add 2 more hundreds. You do it too. Turn and talk, what will happen to the number when I add 2 hundreds? The number in the hundreds place will get bigger by 2. The ones and tens digits will stay the same.

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**Concept Development Problem 1**

Add 2 more hundreds. What is ? Say it in unit form. 5 hundreds, 2 tens, 5 ones!

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**Concept Development Problem 1**

If I asked you to add 3 hundreds to 450, how could you solve that? Count on by a hundred 3 times. Change the 4 to 7 because 4 hundreds plus 3 hundreds is 7 hundreds. Let’s show that on the board using both simplifying strategies, the arrow way and number bonds. I know many of you can just do mental math!

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**Concept Development Problem 1**

I can add 3 hundreds using the arrow way, as we did yesterday. I can also break apart the hundreds and tens with a number bond, add the hundreds, and then add the tens. No matter which way I write it, when I add hundreds to a number, the tens and ones stay the same!

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**Concept Development Problem 1**

Now it’s your turn. In your notebook, solve Show me your board when you have an answer. = 300 = 347 + 200

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**Concept Development Problem 1**

Try these:

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**Concept Development Problem 2**

Now, let’s subtract 2 hundreds, then 3 hundreds, and more! How many do you see? 725 Say it in unit form. 7 hundreds 2 tens 5 ones 5 hundreds 2 tens 5 ones

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**Concept Development Problem 2**

I am going to subtract 2 more hundreds. Turn and talk: What will happen to the number when I subtract 2 hundreds? The number in the hundreds place will get smaller by 2. The number will get smaller by 200. It will be 325 because 5 hundreds minus 2 hundreds equals 3 hundreds. The other digits stay the same. What is 525 ─ 200?

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**Concept Development Problem 2**

What is 525 ─ 200? 325 Say it in unit form. 3 hundreds 2 tens 5 ones Let’s subtract 3 hundreds from 582. Take a moment and work on your place value chart to solve 582 – 300.

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**Concept Development Problem 2**

We have an extra simplifying strategy when we are subtracting. We can count up from the part we know. What is the whole? 582 What is the part we know? 300

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**Concept Development Problem 2**

How can we show the missing part with an addition problem? We can use the arrow way, counting first by either tens or ones. Try it with a partner. Starting at 300 you can add 2 hundreds first and then 82, or add 82 first and then add 2 hundreds.

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**Concept Development Problem 2**

Let’s try again: 620 – 400 541 – 200 797 – 300

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Practice Problems 1. Solve using place value strategies. Use the arrow way or mental math and record your answers. You may use scratch paper if you like. a. 2 hundreds 4 tens + 3 hundreds = __ hundreds __ tens = _____ b = ___ = ___ = ___ c = ___ = __ = ___

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Practice Problems 2. Solve using place value strategies. Use the arrow way or mental math and record your answers. You may use scratch paper if you like. 6 hundreds 2 ones - 4 hundreds = ____ hundreds ____ tens ____ ones a = ___ = ___ ___ = 350 b = ___ = ___ = ___ c ___= ___= ___ = 68

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Practice Problems 3. Fill in the blank to make true number sentences. Use place value strategies, number bonds, or the arrow way to solve. a. 200 more than 389 is ___________. b. 300 more than ___________ is 568. c. 400 less than 867 is __________. d. __________ less than 962 is 262.

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Practice Problems 4. Jessica’s lemon tree has 526 lemons. She gave away 300 lemons. How many does she have left? Use the arrow way to solve.

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Exit Ticket Solve using place value strategies. Use the arrow way or mental math and record your answers. You may use scratch paper if you like. = __ = __ __ = 590 = __ __ = __= 136

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