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Adding & Subtracting Large Numbers

Adding & Subtracting Large Numbers. Adding & subtracting by focusing on the place value of the digits 3.4. Guiding Questions. How can understanding place value help you solve addition and subtraction problems with larger numbers?. Warm Up: Closest Estimate.

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Adding & Subtracting Large Numbers

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  1. Adding & Subtracting Large Numbers Adding & subtracting by focusing on the place value of the digits 3.4

  2. Guiding Questions • How can understanding place value help you solve addition and subtraction problems with larger numbers?

  3. Warm Up: Closest Estimate • 42 x 18 What’s the closest estimate? 420 800 840 Would the estimate we chose be greater than or less than the actual answer? How do you know that? Turn & talk, figure it out without finding the actual answer

  4. Adding & Subtracting Large Numbers • Today we will work with numbers larger than 10,000. We will start by solving related problems. As I show each one, think about how the answer to the previous problem can help you solve the new problem. You should be able to do these mentally. 12,385 – 200 = 12,385 – 210 = 12,385 – 212 =

  5. Story Context • There are 12,385 people at a basketball game. If 200 of them leave the game, we know that 12,185 people are left. • Use this story to tell me what 12,385 – 210 means. Will the answer to this problem be more or less than 12,195? How do you know? • What about 12,385 – 212? How does that work with this story? Would the answer be more, or less, than 12,385 – 210?

  6. More sets of problems • 7,653 + 400 = • Compare 7,653 and the sum. Which digits are the same? Different? Why? • 7,653 + 420 = Compare the sum of the first problem with the sum of this one. • 7,663 + 420 = How can the previous sum help you solve this problem?

  7. VERY large numbers • 1,000 one thousand • 10,000 ten thousand • 100,000 one hundred thousand • 1,000,000 one million • 10,000,000 ten million • 100,000,000 one hundred million • 1,000,000,000 one billion

  8. Place Value Chart Billions Millions Thousands Units Decimals

  9. Fun With Numbers • Write down a really, really big number, something with more than 5 digits. • Add 10 to it and show how the new number is different. • Add or subtract a few different numbers that are multiples of 10, 100, 1,000 to your really big number and work with a partner to see how your number changes!

  10. Guiding Questions • How can understanding place value help you solve addition and subtraction problems with larger numbers?

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