Multiplication
Multiplication
represents repeated addition. For example, adding the number
4 eight times could be written as:
4 + 4 + 4+ 4+ 4+ 4 + 4 + 4
= 32
or it may be written as 4 x
8 = 32,
which is worded as "four times eight equals thirty-two."
Alternatively, if we added the number eight four times, it
would
be written as:
8 + 8 + 8 + 8 = 32
or 8 x 4 =32, which is worded as "eight times four equals thirty-two." As the sum of eight 4's is the same as four 8's, either addition problem may be written as:
4 x 8 or 8 x 4
Result: When multiplying numbers, their order does not effect the result
In multiplication, the numbers multiplied together are referred to as factors while the answer is called the product. When mulitplying numbers, it is best to often write the number with the most digits on top. As an example:
11 (factor)
x 4 (factor)
44 (product)
Symbols for multiplication include a cross (x), center dot (·), and parentheses. Consequently, 3 times 6 may be written as any of the following:
3 x 6, 3 · 6, (3)6, 3(6), or (3)(6)
However, due to the similarity of the cross with the letter x in Algebra, multiplication is typically expressed via the center dot and/or parentheses in Algebra.
For convenience, a multiplication table is provided below to practice multiplication through 12 x 12. As an example of using the above multiplication table, 4 × 8 = 32 may be attained by noting where 4 and 8 intersect. This table does not list zeros as any real number times zero equals zero.
8 + 8 + 8 + 8 = 32
or 8 x 4 =32, which is worded as "eight times four equals thirty-two." As the sum of eight 4's is the same as four 8's, either addition problem may be written as:
4 x 8 or 8 x 4
Result: When multiplying numbers, their order does not effect the result
In multiplication, the numbers multiplied together are referred to as factors while the answer is called the product. When mulitplying numbers, it is best to often write the number with the most digits on top. As an example:
11 (factor)
x 4 (factor)
44 (product)
Symbols for multiplication include a cross (x), center dot (·), and parentheses. Consequently, 3 times 6 may be written as any of the following:
3 x 6, 3 · 6, (3)6, 3(6), or (3)(6)
However, due to the similarity of the cross with the letter x in Algebra, multiplication is typically expressed via the center dot and/or parentheses in Algebra.
For convenience, a multiplication table is provided below to practice multiplication through 12 x 12. As an example of using the above multiplication table, 4 × 8 = 32 may be attained by noting where 4 and 8 intersect. This table does not list zeros as any real number times zero equals zero.
