Simplify as indicated. State at least one property of multiplication
or division that would prove your simplification
process correct.
a.-(n+4) to eliminate the parentheses
b. 6(-s) to eliminate the parentheses
c. 8(24-n) to eliminate the parentheses
d.12n/12 to reduce the number of symbols
a. To simplify -(n+4) and eliminate the parentheses, distribute the negative sign to both terms inside the parentheses. This gives -n - 4. The property of multiplication used here is the distributive property.
b. To simplify 6(-s) and eliminate the parentheses, multiply the coefficient outside the parentheses, which is 6, by the coefficient inside the parentheses, which is -s. This gives -6s. The property of multiplication used here is the commutative property.
c. To simplify 8(24-n) and eliminate the parentheses, multiply the coefficient outside the parentheses, which is 8, by each term inside the parentheses, which is 24 and -n. This gives 192 - 8n. The property of multiplication used here is the distributive property.
d. To simplify 12n/12 and reduce the number of symbols, divide both the numerator and denominator by the common factor, which is 12. This gives n/1, which is equivalent to n. The property of division used here is the quotient property, which states that dividing a number by itself equals 1.
a. To simplify -(n+4) and eliminate the parentheses, you can distribute the negative sign (-) to both terms inside the parentheses. This is done by multiplying -1 to each term. The simplified expression would then be -n - 4.
Property of multiplication/division: The distributive property states that a multiplied by the sum of b and c is equal to the sum of a multiplied by b and a multiplied by c. In this case, we are using the distributive property to distribute -1 to both terms inside the parentheses.
b. To simplify 6(-s) and eliminate the parentheses, you can use the distributive property. Multiply 6 by -s to get -6s.
Property of multiplication/division: The distributive property states that a multiplied by the sum of b and c is equal to the sum of a multiplied by b and a multiplied by c. In this case, we are using the distributive property to multiply 6 by -s.
c. To simplify 8(24-n) and eliminate the parentheses, you can again use the distributive property. Multiply 8 by 24 and by -n separately to get 192 - 8n.
Property of multiplication/division: The distributive property states that a multiplied by the sum of b and c is equal to the sum of a multiplied by b and a multiplied by c. In this case, we are using the distributive property to multiply 8 by both 24 and -n.
d. To simplify 12n/12 and reduce the number of symbols, you can divide 12n by 12. The simplified expression would be n.
Property of multiplication/division: The property of division states that dividing a number or expression by itself (in this case, dividing 12n by 12) results in the original number or expression, which is n in this case.