Partial Differences Algorithm in Subtraction

The video tutorial explains how to use the partial differences algorithm to subtract 614 from 257. The process involves subtracting each column starting from the hundreds, moving to tens, and then ones, while considering negative integers. The final result is 357. The tutorial also discusses a common trick students use when they haven't learned about negative integers, emphasizing the importance of understanding the mathematical concept of crossing from positive to negative territory.

What is the first step in the partial differences algorithm when subtracting 614 from 257?

• Add the numbers

• Subtract the hundreds column

• Subtract the tens column

• Subtract the ones column

When subtracting in the tens column, what is the result of 1 ten minus 5 tens?

• Positive 4

• Negative 40

• Positive 40

• Zero

How do you handle the subtraction of 4 ones minus 7 ones in the partial differences algorithm?

• It results in positive seven

• It results in zero

• It results in negative three

• It results in positive three

What is the final result of subtracting 257 from 614 using the partial differences algorithm?

• 357

• 400

• 340

• 360

What is a common trick students use when the bottom number is greater than the top number in subtraction?

• Multiply the numbers

• Ignore the bottom number

• Switch the order and write a minus sign

• Add the numbers instead