Subtracting rational numbers (decimals) is similar to subtracting whole numbers, but you need to align the decimal points first! Make sure the decimals line up vertically. Then, subtract as you normally would, adding zeros as placeholders if needed. Finally, bring the decimal point straight down into your answer. Remember, if you're subtracting a larger number from a smaller number, the answer will be negative. The key is understanding place value and careful alignment.
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Decimal Point | A. A number that is less than one |
| 2. Place Value | B. The position of a digit in a number |
| 3. Tenths | C. The dot used to separate the whole number part from the fractional part |
| 4. Hundredths | D. Two places to the right of the decimal point |
| 5. Fraction | E. One place to the right of the decimal point |
(Answers: 1-C, 2-B, 3-E, 4-D, 5-A)
When subtracting decimals, it's important to _______ the decimal points. If a number doesn't have enough digits after the decimal, you can add ______ as placeholders. The decimal point in the answer should be _______ with the decimal points in the problem. If you are subtracting a larger number from a smaller number, the answer will be _______. Always double-check your _______!
(Answers: align, zeros, aligned, negative, work)
Explain in your own words why it's crucial to align the decimal points when subtracting rational numbers. What happens if you don't?
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