Why is it acceptable to add placeholder zeros to the right of a decimal when adding or subtracting?

Adding zeros to the right of a decimal does not change the value of the number.

Explain how using placeholder zeros can help avoid mistakes when subtracting decimals.

Placeholder zeros prevent dropping digits and ensure proper borrowing when necessary.

Grade 6th Grade · Math · 60 min· Ccss Ccss.math.content.6.ns.b.3

I can add and subtract decimals using the standard algorithm.

Math with Mr. J · 9:06

Adding and Subtracting Decimals: A Step-By-Step Review | How to Add and Subtract Decimals

3 key concepts

1
When adding or subtracting decimals, the first step is to line up the decimals to ensure that all the places are lined up correctly.
2
When adding or subtracting decimals, you can use placeholder zeros to the right of a decimal without changing its value, which helps to line up the numbers.
3
When subtracting decimals, remember to borrow if the top digit is smaller than the bottom digit; do not simply drop the bottom number.

12 questions · Multiple choice & Short answer

Quick comprehension check

“Solve: 35.75 + 18.9 using the standard algorithm. Show your work, lining up the decimals correctly.”

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