Explain why using placeholder zeros to the right of a decimal does not change the value of the number.

Adding zeros to the right of a decimal is the same as adding zero hundredths, zero thousandths, etc., which does not change the overall value.

Adding and Subtracting Decimals

Grade 5th Grade · Math · 45 min· Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers

I can add and subtract decimals using models and strategies based on place value.

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
Placeholder zeros can be added to the right of a decimal without changing its value; this can help to line up the numbers and avoid mistakes when adding or subtracting.
3
When subtracting decimals, remember to borrow if the top digit is smaller than the bottom digit; avoid the common mistake of just dropping the bottom number.

8 questions · Multiple choice & Short answer

Quick comprehension check

“Solve 35.6 + 18.74. Show your work, lining up the decimals and using a placeholder zero if needed.”

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