Question

Use the distributive property to evaluate each expression (6+4)(-12)= -6(9-4)= 5(-6+4)= 4(8 - 7)= (5 - 7)(-3)=

Answer 1

To evaluate expressions using the distributive property, you multiply the term outside the parenthesis by each term inside it separately. This process is carried out for each term, considering the sign rules for multiplication. The result is the sum of these individual products.

Step-by-step explanation:

When using the distributive property to evaluate each expression, we multiply the outer number by each of the terms inside the parenthesis.

• For (6+4)(-12), we distribute -12 to both 6 and 4: (-12 × 6) + (-12 × 4) = -72 + -48 = -120.
• In -6(9-4), we distribute -6 to 9 and -4: (-6 × 9) + (-6 × -4) = -54 + 24 = -30.
• For 5(-6+4), we distribute 5 to -6 and 4: (5 × -6) + (5 × 4) = -30 + 20 = -10.
• With 4(8 - 7), we distribute 4 to 8 and -7: (4 × 8) + (4 × -7) = 32 - 28 = 4.
• Lastly, for (5 - 7)(-3), we distribute -3 to 5 and -7: (-3 × 5) + (-3 × -7) = -15 + 21 = 6.

Remember, when multiplying two numbers with similar signs, the result is positive, and when multiplying numbers with opposite signs, the result is negative.

Answer 2

use PEMDAS and show work on a paper you'll get it (use calculator to check)