Rules of Multiplication of Integers

Q. Select the correct options.

1. The product of 3 negative integers is a positive integer.
2. The product of 3 negative integers is a negative integer.
3. The product of 6 negative integers is a negative integer.
4. The product of 6 negative integers is a positive integer.

Q.

Answer in one word.

What is the sign of the product of $100$ negative integers?

Q.

What will be the sign of the product if we multiply: $22$ negative integers and $5$ positive integers?

Q. What is the sign of the result of : $$-31\times -32\times -33\times -34\times -35\times -36$$

1. Positive
2. Negative
3. Neither positive nor negative
4. Cannot be determined

Q.

Find the product -1(-9).

Q.

Determine the sign of the product of given integers:

Two negative integers

Q.

Determine the integer whose product with $(-1)$ is $37$

Q.

Select the odd one out.

1. $(-9)\times 5\times 6\times (-3)$

2. $9\times (-5)\times (-6)\times 3$

3. $9\times (-5)\times 6\times (-3)$

4. $(-9)\times (-5)\times (-6)\times 3$

Q.

Fill in the blanks:

$(-13)+(-25)=.......$

Q.

Find the product $(-5)\times 10$.

Q.

Find the product : $-6\left(9\right)$

Q. If the sum of the last $3$ integers in a set of $6$ consecutive integers is $624$, what is the sum of the first $3$ integers of the set?

1. $515$
2. $615$
3. $750$
4. $600$

Q.

Find the product 7(-3).

Q.

Statement 1: Product of two integers with same sign is always a positive integer.

Statement 2: Product of two integers with opposite sign is always a positive integer.

Choose the correct option:

1. Both the statements are correct.
2. Both the statements are incorrect.
3. Statement 1 is correct but statement 2 is incorrect.
4. Statement 1 is incorrect but statement 2 is correct.

Q. Find the value: $4\times (-2)\times 4$

1. $16$
2. $32$
3. $-32$
4. $-8$

Q. Product of two integers with same signs is always a positive integer.

1. True
2. False

Q.

Select the odd one out.

1. $(-1)\times (-1)$

2. $(-1)\times (-1)\times (-1)\times (-1)$

3. $(-1)\times (-1)\times (-1)$

4. $(-1)\times (-1)\times (-1)\times (-1)\times (-1)\times (-1)$

Q.

What will be the result of $2\times (-(-4\left)\right)\times (-2)$?

1. -20

2. -56

3. -16

4. 16

Q. Pair the cards with their corresponding solution.

1. Negative number
2. 
3. 
4. Positive number
5. Zero
6. 

Q.

-(-z) = ____

1. 2z

2. z

3. -z

4. -2z

Q. If a, b, c are positive integers, which of the following outcomes are always positive?

1. $\frac{-a\times b}{-c}$
2. $a\times b\times c$
3. $\frac{-a\times -b}{-c}$
4. $\frac{a}{b\times c}$
5. $a\times -b\times c$
6. $\frac{b}{c}$
7. $\frac{-c}{a}$
8. $\frac{(-c{)}^2}{-a\times -b}$