Use the basic addition fact table for whole0 1 2 3 45 6 7 89 numbers shown to an
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Use the basic addition fact table for whole0 1 2 3 45 6 7 89 numbers shown to answer parts a) through 0 0 1 2 3 A5 689 11 2 34 5678910 22 3 4 5678910 11 3 3 4 5 6789 10 11 12 4 4 56 78 9 10 11 12 13 55 6789 10 11 12 13 14 66 789 10 11 12 13 14 15 789 10 11 12 13 14 15 16 8 8 9 10 11 12 13 14 15 16 17 919 10 11 12 13 14 15 16 17 18 d) a) How does the table illustrate the closure property? 0 A. The table shows that it does not matter in which order the whole numbers are added The result s the aways the same O B. The table shows that if any single digit whole number is added to another whole number, the result is always a whole number. the closure property, because any number above 10 is not in the left most column nor in the top most row b) How does the table ilustrate the commutative property?Explanation / Answer
a] System of whole numbers is closed under addition, this means that the sum of any two whole numbers is always a whole number. This is known as Closure Property for Addition of Whole Numbers.
In the given table, take aany two whole digits as example, say 4 and 9,
4+9 = 13 which is also a whole number.
Say 8 and 6, 8+6=14 which is a whole number as well.
So, the answer is option B.
b]
Commuting means interchanging.
Commutative Property explains that on changing the order of whole numbers or integers in an expression, the result changes or not.
In the given table, say 3 and 6,
3+6 = 9 = 6+3;
say 5 and 0, 5+0 = 5 = 0+5;
So, the answer is option B.
c]
Zero has an Additive Identity for Whole Numbers, i.e. when Zero is added to any given whole number, the resultant number is always equal to the given whole number.
In other words, Zero does not affect any change in an addition expression.
In the given table, the first row and first column shows the addition of whole numbers with the zero, and the result is always same as the whole number.
Say 4 and 0, the result is 4.
Say 7 and 0, the result is 7.
So, the answer is option C
d] The answer is option A
The student doesn't need to memorize as many facts.
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