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Sagot :
Certainly! Let's go through each given pair and determine whether their product is positive, negative, or zero by analyzing the signs of the two numbers being multiplied. Here is the detailed solution:
1. [tex]\( (4)(-7) \)[/tex]
- Multiplying a positive number by a negative number results in a negative product.
- Product: negative
2. [tex]\( (-6)(3) \)[/tex]
- Multiplying a negative number by a positive number results in a negative product.
- Product: negative
3. [tex]\( (-7)(0) \)[/tex]
- Multiplying any number by zero results in zero.
- Product: zero
4. [tex]\( (-9)(-9) \)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
5. [tex]\((5)(-3)\)[/tex]
- Multiplying a positive number by a negative number results in a negative product.
- Product: negative
6. [tex]\(( -15)(-1)\)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
7. [tex]\( (0)(14) \)[/tex]
- Multiplying any number by zero results in zero.
- Product: zero
8. [tex]\( (-5)(7) \)[/tex]
- Multiplying a negative number by a positive number results in a negative product.
- Product: negative
9. [tex]\( (-8)(-2) \)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
10. [tex]\( (-3)(-9) \)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
11. [tex]\( (4)(6) \)[/tex]
- Multiplying a positive number by a positive number results in a positive product.
- Product: positive
12. [tex]\( (11)(-2) \)[/tex]
- Multiplying a positive number by a negative number results in a negative product.
- Product: negative
13. [tex]\( (2)(9) \)[/tex]
- Multiplying a positive number by a positive number results in a positive product.
- Product: positive
14. [tex]\( (-6)(4) \)[/tex]
- Multiplying a negative number by a positive number results in a negative product.
- Product: negative
The result based on the given pairs is as follows:
1. negative
2. negative
3. zero
4. positive
5. negative
6. positive
7. zero
8. negative
9. positive
10. positive
11. positive
12. negative
13. positive
14. negative
1. [tex]\( (4)(-7) \)[/tex]
- Multiplying a positive number by a negative number results in a negative product.
- Product: negative
2. [tex]\( (-6)(3) \)[/tex]
- Multiplying a negative number by a positive number results in a negative product.
- Product: negative
3. [tex]\( (-7)(0) \)[/tex]
- Multiplying any number by zero results in zero.
- Product: zero
4. [tex]\( (-9)(-9) \)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
5. [tex]\((5)(-3)\)[/tex]
- Multiplying a positive number by a negative number results in a negative product.
- Product: negative
6. [tex]\(( -15)(-1)\)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
7. [tex]\( (0)(14) \)[/tex]
- Multiplying any number by zero results in zero.
- Product: zero
8. [tex]\( (-5)(7) \)[/tex]
- Multiplying a negative number by a positive number results in a negative product.
- Product: negative
9. [tex]\( (-8)(-2) \)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
10. [tex]\( (-3)(-9) \)[/tex]
- Multiplying a negative number by a negative number results in a positive product.
- Product: positive
11. [tex]\( (4)(6) \)[/tex]
- Multiplying a positive number by a positive number results in a positive product.
- Product: positive
12. [tex]\( (11)(-2) \)[/tex]
- Multiplying a positive number by a negative number results in a negative product.
- Product: negative
13. [tex]\( (2)(9) \)[/tex]
- Multiplying a positive number by a positive number results in a positive product.
- Product: positive
14. [tex]\( (-6)(4) \)[/tex]
- Multiplying a negative number by a positive number results in a negative product.
- Product: negative
The result based on the given pairs is as follows:
1. negative
2. negative
3. zero
4. positive
5. negative
6. positive
7. zero
8. negative
9. positive
10. positive
11. positive
12. negative
13. positive
14. negative
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