Subtraction Methods and Concepts

The video tutorial explains a mathematical trick for subtracting numbers by adding. It starts with a historical example of subtracting 1066 from 1492 and generalizes the method for any positive numbers. The tutorial also discusses how machines and computers use this method, known as overflow in computing and modular arithmetic in mathematics. The concept of two's complement in binary subtraction is introduced, showing how computers efficiently perform subtraction.

What is the result of subtracting 1066 from 1492 using the subtraction-by-adding method?

• 226

• 326

• 426

• 526

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CCSS.7.NS.A.1C

How do you transform the number 1066 for the subtraction-by-adding method?

• 10 minus each digit

• 9 minus each digit, except the last digit is 10 minus

• Add 1 to each digit

• 9 minus each digit

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CCSS.2.OA.A.1

What is the result of 8 minus 6 using the subtraction-by-adding method?

• 4

• 8

• 2

• 6

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CCSS.2.NBT.B.5

What is the result of 100 minus 1 using the subtraction-by-adding method?

• 100

• 99

• 101

• 98

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CCSS.2.OA.A.1

How does an adding machine perform subtraction?

• By dividing

• By adding

• By subtracting directly

• By multiplying

What is the term used in computing when numbers wrap around to zero?

• Loopback

• Overflow

• Underflow

• Wraparound

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CCSS.8.EE.A.1

What is the mathematical term for the concept of numbers wrapping around?

• Exponential arithmetic

• Linear arithmetic

• Circular arithmetic

• Modular arithmetic

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CCSS.7.NS.A.1B

In the context of the video, what is negative three on Hank's adding machine?

• 0

• 9,994

• 3

• 9,997

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CCSS.1.NBT.C.4

CCSS.2.MD.B.6

What is the method called that computers use to subtract in binary?

• Two's complement

• One's complement

• Binary subtraction

• Bitwise subtraction

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CCSS.6.NS.B.3

Why is binary subtraction easier for computers?

• Because of hexadecimal conversion

• Because of decimal conversion

• Because of one's complement

• Because of two's complement

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CCSS.6.NS.B.3