Answer :
Sure, let’s solve each part of the problem step by step!
a. For both expressions, [tex]\(13 + 46\)[/tex] and [tex]\(46 + 13\)[/tex], they result in the same sum because the order of addition doesn't matter. Thus, both equations equal 59.
b. Similarly, adding [tex]\(36 + 297\)[/tex] and [tex]\(297 + 36\)[/tex] will both give the same total. These both add up to 333.
c. For these additions, [tex]\(27 + 94\)[/tex] and [tex]\(94 + 27\)[/tex], the results are the same because addition is commutative. Thus, both sums are 121.
d. The expression [tex]\(12 + 15 = 15 +\)[/tex] suggests that we're simply moving numbers; the sum is 27, so the equation is [tex]\(12 + 15 = 15 + 12\)[/tex].
e. This statement, [tex]\(\square + 6= \square + 7\)[/tex], seems incomplete. As it stands, without more information, we cannot determine exact numbers that satisfy this in ordinary arithmetic.
f. For the addition [tex]\(125 + 164=164 +\)[/tex] and [tex]\(89 + 46=46 +\)[/tex], the commutative property states that both sums are the same when the order is reversed. So, [tex]\(125 + 164 = 164 + 125\)[/tex] is 289, and [tex]\(89 + 46 = 46 + 89\)[/tex] is 135.
h. For the expression [tex]\(\square +49= \square +36\)[/tex], we again encounter a situation where, without additional information or a specific condition provided, the problem can't be completed.
i. The expression [tex]\(174 + 132 = \square + \square\)[/tex] simply asks for the sum of 174 and 132, which equals 306.
j. Finally, the equation [tex]\(56 - 14 = \square + 42\)[/tex] involves first performing the subtraction, yielding 42. So, [tex]\(56 - 14 = 42\)[/tex] implies the square box must be 0, such that [tex]\(0 + 42 = 42\)[/tex].
This step-by-step process gives us the answers based on the problem conditions provided!
a. For both expressions, [tex]\(13 + 46\)[/tex] and [tex]\(46 + 13\)[/tex], they result in the same sum because the order of addition doesn't matter. Thus, both equations equal 59.
b. Similarly, adding [tex]\(36 + 297\)[/tex] and [tex]\(297 + 36\)[/tex] will both give the same total. These both add up to 333.
c. For these additions, [tex]\(27 + 94\)[/tex] and [tex]\(94 + 27\)[/tex], the results are the same because addition is commutative. Thus, both sums are 121.
d. The expression [tex]\(12 + 15 = 15 +\)[/tex] suggests that we're simply moving numbers; the sum is 27, so the equation is [tex]\(12 + 15 = 15 + 12\)[/tex].
e. This statement, [tex]\(\square + 6= \square + 7\)[/tex], seems incomplete. As it stands, without more information, we cannot determine exact numbers that satisfy this in ordinary arithmetic.
f. For the addition [tex]\(125 + 164=164 +\)[/tex] and [tex]\(89 + 46=46 +\)[/tex], the commutative property states that both sums are the same when the order is reversed. So, [tex]\(125 + 164 = 164 + 125\)[/tex] is 289, and [tex]\(89 + 46 = 46 + 89\)[/tex] is 135.
h. For the expression [tex]\(\square +49= \square +36\)[/tex], we again encounter a situation where, without additional information or a specific condition provided, the problem can't be completed.
i. The expression [tex]\(174 + 132 = \square + \square\)[/tex] simply asks for the sum of 174 and 132, which equals 306.
j. Finally, the equation [tex]\(56 - 14 = \square + 42\)[/tex] involves first performing the subtraction, yielding 42. So, [tex]\(56 - 14 = 42\)[/tex] implies the square box must be 0, such that [tex]\(0 + 42 = 42\)[/tex].
This step-by-step process gives us the answers based on the problem conditions provided!