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0.59. .09. 0.65. So what is a “ standard algorithm ” ?. Standard algorithm: a set of instructions that is used to perform a certain task. A step-by-step procedure for calculations. Here ’ s the question! 3.9156 + 3.99 =. I am right. I have lined all the numbers up.
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0.59 .09 0.65
So what is a “standard algorithm”? • Standard algorithm: a set of instructions that is used to perform a certain task. • A step-by-step procedure for calculations
Here’s the question! 3.9156 + 3.99 = I am right. I have lined all the numbers up. Doh! I don’t have a clue what to do next?! I am right. My decimal place is in a line and all my numbers are in column. 3 . 9 1 5 6 3.9 9 3 . 9 9 3 . 9 1 5 6 7 9 3 . 9 1 5 6 3 . 9 9
Algorithm for Add/Subt. Decimals: • Line up the numbers by the decimal point. • Fill in missing places with zeroes. • Add or subtract.
Example 1: 28.9 + 13.31 Problem Explanation 28.9 0 Line up the numbers by the decimal point. Fill in missing hundredth place after the 9 with a zero. Add from right to left. + 13.31 42.21
Subtracting Across Zeroes • If you have several zeroes in a row, and you need to borrow, go to the first digit that is not zero, and borrow. • All middle zeroes become 9’s. • The final zero becomes 10.
Example 2: 15 – 9.372 0 1 4 9 9 10 Line up the numbers by the decimal point. Fill in missing spaces place after the decimal with zeros. Subtract from right to left using borrowing. .000 15 - 9.372 5 . 6 2 8
ClassworkAdd or Subtract • 10.8 + 4.82 • 2.397 + 9.31 • 8.363 − 2.08 • 53.700- 0.351 • 0.793+ 0.624
answers • 15.62 • 11.707 • 6.283 • 53.349 • 1.417