Find each of the following products. (i) 3 × (-1) (ii) (-1) × 225 (iii) (-21) × (-30) (iv) (-316) × (-1) (v) (-15) × 0 × (-18) (vi) (-12) × (-11) × (10) (vii) 9 × (-3) × (-6) (viii) (-18) × (-5) × (-4) (ix) (-1) × (-2) × (-3) × 4 (x) (-3) × (-6) × (-2) × (-1)

To solve these multiplication problems, it's important to remember the rules for multiplying positive and negative numbers:

The product of two numbers with different signs is negative.
The product of two numbers with the same sign is positive.
Any number multiplied by zero equals zero.

Let's solve each problem step by step:
(i) 3 × ( − 1 )

Here, one number is positive and the other is negative, so the product will be negative.
3 × ( − 1 ) = − 3

(ii) ( − 1 ) × 225

Again, one number is negative and the other is positive, resulting in a negative product.
( − 1 ) × 225 = − 225

(iii) ( − 21 ) × ( − 30 )

Both numbers are negative, so the product is positive.
( − 21 ) × ( − 30 ) = 630

(iv) ( − 316 ) × ( − 1 )

Both numbers are negative, so the product is positive.
( − 316 ) × ( − 1 ) = 316

(v) ( − 15 ) × 0 × ( − 18 )

Any number multiplied by zero is zero.
( − 15 ) × 0 × ( − 18 ) = 0

(vi) ( − 12 ) × ( − 11 ) × 10

Multiply the first two numbers: ( − 12 ) × ( − 11 ) = 132
Then, multiply by 10: 132 × 10 = 1320

(vii) 9 × ( − 3 ) × ( − 6 )

Multiply the first two numbers: 9 × ( − 3 ) = − 27
Then, multiply by − 6 : − 27 × ( − 6 ) = 162

(viii) ( − 18 ) × ( − 5 ) × ( − 4 )

Multiply the first two numbers: ( − 18 ) × ( − 5 ) = 90
Then, multiply by − 4 : 90 × ( − 4 ) = − 360

(ix) ( − 1 ) × ( − 2 ) × ( − 3 ) × 4

Multiply the first two numbers: ( − 1 ) × ( − 2 ) = 2
Then, multiply by − 3 : 2 × ( − 3 ) = − 6
Finally, multiply by 4: − 6 × 4 = − 24

(x) ( − 3 ) × ( − 6 ) × ( − 2 ) × ( − 1 )

Multiply the first two numbers: ( − 3 ) × ( − 6 ) = 18
Then, multiply by − 2 : 18 × ( − 2 ) = − 36
Finally, multiply by − 1 : − 36 × ( − 1 ) = 36

Answered by JessicaJessy | 2025-07-21