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Addition Properties Commutative Property of Addition: Numbers can be added in any order. Example: 5+3=3+5 Associative Property of Addition: Numbers can be grouped in any way. Example: (7+3) + 5 = 7 + (3+5) Next Slide
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LO: to add decimalsType your name and send:
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The Basic Steps:
• Line up the numbers by the decimal point.
• Fill in missing places with zeroes.
• Add or subtract.
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Addition PropertiesCommutative Property of Addition: Numbers can be added in any order.
Example: 5+3=3+5
Associative Property of Addition: Numbers can be grouped in any way.
Example: (7+3) + 5 = 7 + (3+5)
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Find the nearest nice number
• Addition properties can be used to quickly find sums.
• Example: What is 52 + 12.4 + 48?• We can use an addition property to
quickly add this. • First, change the order: 52 + 48 + 12.4
________________ property.• Then, group the easy numbers together:
(52 + 48) + 12.4________________ property
• 100 + 12.4 = 112.4
commutative
associative
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Why Estimate?
• Before adding your numbers, use one of the estimating strategies you learned to see what the answer should be close to.
• When you add, you can see if your answer is reasonable.
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Example: 28.9 + 13.31
28.913.31+
0
42.21
• Line up the numbers by the decimal point.
• Fill in missing places with zeroes.
• Add or subtract.
This can estimate to 30 + 13, which is 43. (nearest nice numbers)
The answer is close to the estimate.
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Now your turn.
For the sum: 125.33 + 6.9
What would your estimate be?
a)118b)132c)131
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For the sum: 125.33 + 6.9{estimate is 132}
Which number should you write first?
a)125.33b)6.9c)It does not matter
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For the sum: 125.33 + 6.9{estimate is 132}
I write down 125.33 what do I do next?
• Line up the numbers by the decimal point.
• Fill in missing places with zeroes.• Add or subtract.
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For the sum: 125.33 + 6.9{estimate is 132}
What do you need to do now?
125.336.9+
A. AddB. SubtractC. Stick zero in if you
have any gaps0
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For the sum: 125.33 + 6.9{estimate is 132}
What do you need to do now?
125.336.90+
A. AddB. SubtractC. Stick a decimal in
underneath then relax
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For the sum: 125.33 + 6.9{estimate is 132}
Finally add to give the answer?
125.336.90+
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For the sum: 125.33 + 6.9{estimate is 132}
Finally add to give the answer?
125.336.90+
132.23
Is this near to your estimate?
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I really understand this and I got most of them correct.
I am beginning to understand this and I got many of them correct.
I need more practice to help me understand this and I made lots of mistakes.A
B
C
LO: to add with decimals.Last Last SlideSlide