By, Mrs. Muller Solving Multiplication and Division Equations

Important Properties to Recall Division Property of Equality: 4x2=8 so 4x2/2=8/2 or a=b and c does not equal 0, then a/c=b/c Multiplication Property of Equality: If 5=5, then 5x2=5x2 or if a=b, then ax2=bx2 The Identity Property of Multiplication: 1x8=8 and 8x1=8 or ax1=a or 1xa=a

Solving Multiplication Equations First Lets look at solving equations that involves multiplication. First recall that the goal is to isolate the variable by using the inverse operation. The inverse operation would be in this case of multiplication is division. We would have to divide both sides by the number by the variable in order to isolate the variable. On the next slide lets look at an example of this to make it easier to understand.

Solving Multiplication Equations 4n= n= 17 n=17 4n means that the 4 is being multiplied by the n Isolate the variable. Use the Division Property of Equality Simplify the fractions by dividing (4/4=1 and 68/4=17) or reducing Use the Identity Property of Multiplication

Solving Division Equations First Lets look at solving equations that involves division. First recall that the goal is to isolate the variable by using the inverse operation. The inverse operation would be in this case of division is multiplication. We would have to multiply both sides by the number that is dividing the variable in order to isolate the variable. On the next slide lets look at an example of this to make it easier to understand.

Solving Division Equations d/10=64 10(d/10)=64(10) 1d=640 d=640 d/10 means that d is being divided into 10 sections/groups/ pieces/etc. Isolate the variable. Use the Multiplication property of Equality Simplify by multiplying 10x1/10=10/10=1 and 64x10=640 Use the Identity property of Multiplication