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Adding and Subtracting Whole Numbers, and Perimeter
Section 1.3 Adding and Subtracting Whole Numbers, and Perimeter
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Adding Whole Numbers Place numbers in increasing order vertically (in columns), align right Add the two digits in the ones position If the result is a single digit bring it down If the result is a double digit bring down the ones position and carry the tens position to the next column. Repeat step 2 for the tens, hundreds, etc. Don’t forget the carried over digit.
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Example
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Example
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Example
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Example
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Word Problems Key Word / Phrase Example Symbols Added to 5 added to 7
Plus 0 plus 78 Increased by 12 increased by 6 More than 11 more than 25 Total The total of 8 and 1 Sum The sum of 4 and 133
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Example In 2000, Harley Davidson sold 158,817 of its bikes domestically. In addition, 45,775 Harley Davidson bikes were sold internationally. What was the total number of Harley Davidson bikes sold in 2000?
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Perimeter The sum of all outsides of a geometric figure.
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Example Find the perimeter
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Example Find the perimeter
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Addition Properties Associative Property of Addition
(a + b) + c = a + (b + c) Commutative Property of Addition a + b = b + a Addition Property of Zero a + 0 = 0 + a = a
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Example Use the properties
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Example Use the properties
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Example Use the properties
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Subtracting Whole Numbers
Place larger number above smaller number, in columns and align right. Start with the ones unit If the number on top is larger, subtract If the number on top is smaller borrow from the number of the digit to the left. Repeat for the tens, hundreds ,etc digits
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Example
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Example
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Example
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Example
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Example
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Subtraction Properties
Subtraction Property of Zero a - a = 0
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Example
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Word Problems Key Word / Phrase Example Symbols Decreased by
Difference The difference of 10 and 2 Less 17 less 3 Take away 14 take away 9 Less than 2 less than 20 Subtracted from 9 subtracted from 12 Subtract Subtract 5 from 8
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Example Pat blood cholesterol level is The doctor tells her it should be decreased to How much of a decrease is this?
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