Fill in the blanks in the tables below. | (-5) x (-3) = 15 | (-6) x (-3) = 18 | (-7) x (-3) = 21 | |---|---|---| | (-5) x (-2) = 10 | (-6) x (-2) = 12 | (-7) x (-2) = 14 | | (-5) x (-1) = 5 | (-6) x (-1) = 6 | (-7) x (-1) = 7 | | (-5) x 0 = 0 | (-6) x 0 = 0 | (-7) x 0 = 0 | | (-5) x 1 = -5 | (-6) x 1 = -6 | (-7) x 1 = -7 | | (-5) x 2 = -10 | (-6) x 2 = -12 | (-7) x 2 = -14 | | (-5) x 3 = -15 | (-6) x 3 = -18 | (-7) x 3 = -21 | | (-5) x 4 = -20 | (-6) x 4 = -24 | (-7) x 4 = -28 |
Answer (1)
To solve the problem presented, we need to understand how each of these arithmetic operations is performed. The operations involve multiplying negative numbers by negative, zero, and positive numbers. Let's break down the table data.
Multiplying negative numbers by a negative number : When you multiply two negative numbers, the result is a positive number. For example:
( − 5 ) × ( − 3 ) = 15
( − 6 ) × ( − 3 ) = 18
( − 7 ) × ( − 3 ) = 21
In these examples, multiplying two negative numbers results in a positive outcome because a negative times a negative equals a positive.
Multiplying negative numbers by zero : Any number multiplied by zero results in zero. For example:
( − 5 ) × 0 = 0
( − 6 ) × 0 = 0
( − 7 ) × 0 = 0
The rule here is simple: anything times zero is always zero.
Multiplying negative numbers by a positive number : When you multiply a negative number by a positive number, the result is a negative number. For example:
( − 5 ) × 2 = − 10
( − 6 ) × 2 = − 12
( − 7 ) × 2 = − 14
In these cases, the product of a negative and a positive number is negative.
By understanding and applying these multiplication rules, you can fill in any missing parts of the table accurately. Arithmetic with negative numbers can be tricky, but it follows consistent rules that make calculations predictable.
