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Answer :
Sure! Let's determine which expression is equal to [tex]\(137 \times 13\)[/tex].
First, we know that:
1. The multiplication expression [tex]\(137 \times 13\)[/tex] follows the commutative property of multiplication. This property tells us that you can multiply numbers in any order, and the result will be the same. So, [tex]\(137 \times 13\)[/tex] is equal to [tex]\(13 \times 137\)[/tex].
Let's compare the choices:
A. [tex]\(13 \div 137\)[/tex] - This is a division expression, not multiplication, so it's not equal to [tex]\(137 \times 13\)[/tex].
B. [tex]\(13 \times 137\)[/tex] - This expression uses multiplication, just like our original expression. Due to the commutative property of multiplication (which allows us to switch the order of multiplication without changing the answer), [tex]\(13 \times 137\)[/tex] is indeed equal to [tex]\(137 \times 13\)[/tex].
C. [tex]\(13 + 137\)[/tex] - This is an addition expression, so it cannot equal the multiplication expression [tex]\(137 \times 13\)[/tex].
D. [tex]\(137 \div 13\)[/tex] - This is another division expression, and it will not equal the multiplication result of [tex]\(137 \times 13\)[/tex].
Therefore, the correct answer is choice B: [tex]\(13 \times 137\)[/tex].
First, we know that:
1. The multiplication expression [tex]\(137 \times 13\)[/tex] follows the commutative property of multiplication. This property tells us that you can multiply numbers in any order, and the result will be the same. So, [tex]\(137 \times 13\)[/tex] is equal to [tex]\(13 \times 137\)[/tex].
Let's compare the choices:
A. [tex]\(13 \div 137\)[/tex] - This is a division expression, not multiplication, so it's not equal to [tex]\(137 \times 13\)[/tex].
B. [tex]\(13 \times 137\)[/tex] - This expression uses multiplication, just like our original expression. Due to the commutative property of multiplication (which allows us to switch the order of multiplication without changing the answer), [tex]\(13 \times 137\)[/tex] is indeed equal to [tex]\(137 \times 13\)[/tex].
C. [tex]\(13 + 137\)[/tex] - This is an addition expression, so it cannot equal the multiplication expression [tex]\(137 \times 13\)[/tex].
D. [tex]\(137 \div 13\)[/tex] - This is another division expression, and it will not equal the multiplication result of [tex]\(137 \times 13\)[/tex].
Therefore, the correct answer is choice B: [tex]\(13 \times 137\)[/tex].
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