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More advanced subtraction strategies with hundredths

April 18, 2017
by
Khan Academy
YouTube video player
More advanced subtraction strategies with hundredths

TL;DR

Learn how to mentally subtract decimals by breaking down the numbers and canceling out equal values.

Transcript

  • [Sal] Let's say we wanted to compute eight and 38 hundredths minus four and 54 hundredths. See if you can pause this video, and figure it out on your own. There are multiple strategies for doing this. I'll tell you the way that my head likes to do this. I would view this as the same thing as eight and 38 hundredths, and then I would subtract four... Read More

Key Insights

  • ❓ Mental math strategies can be used to subtract decimals efficiently.
  • 🍳 Breaking down numbers and cancelling out equal values simplifies the calculation.
  • #️⃣ Regrouping and rearranging the numbers can facilitate mental subtraction.
  • #️⃣ The subtraction process involves tackling the whole numbers first, then the decimal portions.
  • 🦻 Smart manipulation of numbers aids mental calculations.
  • 🔇 The speaker demonstrates flexibility in mental math strategies, offering multiple approaches for the same problem.
  • 🛀 The strategy shown can be applied to various decimal subtraction problems.

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Questions & Answers

Q: How does the speaker mentally subtract decimals without using pen and paper?

The speaker breaks down the numbers, cancels out equal values, and subtracts the remaining decimal portions. They use a combination of regrouping and mental calculations to simplify the process.

Q: Why does the speaker choose to subtract 38 hundredths from both numbers?

By subtracting 38 hundredths from both numbers, the speaker cancels out the equal values and simplifies the calculation. It reduces the numbers to 4 and 0 hundredths, making the remaining subtraction easier.

Q: How does the speaker determine the remaining subtraction value of 54 hundredths?

The speaker mentally calculates that 54 hundredths is 10 more than 38 hundredths. They break it down further as 38 hundredths plus 16 hundredths to get the final subtraction value.

Q: What is the mental math shortcut used to subtract 3.84 from the original numbers?

The speaker determines that 4 minus 4 is 0, and cancelling out 38 hundredths from both numbers leaves 0. The remaining subtraction is 16 hundredths, which can be simplified as 0.16 or 16 hundredths.

Summary & Key Takeaways

  • The video demonstrates a mental math strategy for subtracting decimals without using pen and paper.

  • The strategy involves breaking down the numbers and canceling out equal values.

  • The example shows how to subtract 4.54 from 8.38 to get the result of 3.84.


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