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Learn how to effectively add and subtract decimals with ease. This guide emphasizes the importance of aligning decimal points and using placeholders to ensure accuracy. You'll find step-by-step examples demonstrating how to round numbers, making estimates for addition and subtraction, and evaluating expressions with variables. Practice problems are included, along with hints for placing zeros at the end of decimals. Gain confidence in your skills and enhance your math abilities through clear explanations and practical exercises.
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Before you Add or Subtract LINE UP THE DECIMALS!!
–0.4619 –0.5 Round to the nearest whole number. The sum is about 10. Round to the tenths. Align. Subtract. Example 1) Estimate by rounding to the indicated place value. A. 6.09 + 3.72; ones B. 8.898 – 0.4619; tenths 6.09 + 3.72 6 + 4 = 10 8.898 8.9 8.4
Example 2) Find each sum or difference. A. 0.975 + 3.8 B. 0.22 + 15.607 + 9.7
Helpful Hint You can place any number of zeros at the end of a decimal number without changing its value.
Substitute 3.8 for x. Align the decimal points. Use zeroes as placeholders. Subtract. Place the decimal point. Example 3) Evaluate 6 – x for each value of x. x = 3.8 6 – x 6 –3.8 6.0 – 3.8 2.2
Substitute 2.9765 for x. Align the decimal points. Use zeros as placeholders. Subtract. Place the decimal point. Example 4) Evaluate 6.73 – x for each value of x. x = 2.9765 6.73 – x 6.73 – 2.9765 6.7300 –2.9765 3.7535