2 8 Division Equations Learn to solve wholenumber

2 -8 Division Equations Learn to solve whole-number division equations.

2 -8 Division Equations Recall that multiplication and division are inverse operations. If an equation contains division, solve it by multiplying on both sides to “undo” the division.

2 -8 Division Equations Additional Example 1 A: Solving Division Equations Solve the equation. Check your answer. x =5 7 7 x = 7 5 7 x = 35 x =5 Check 7 ? 35 = 5 7 ? 5 = 5 x is divided by 7. Multiply both sides by 7 to undo the division. Substitute 35 for x in the equation. 35 is the solution.

2 -8 Division Equations Additional Example 1 B: Solving Division Equations Solve the equation. Check your answer. 13 = p 6 13 = p p is divided by 6. 6 6 13 = 6 p Multiply both sides by 6 to undo 6 the division. 78 = p p Check 13 = 6 ? 13 = 78 Substitute 78 for p in the equation. 6 ? 13 = 13 78 is the solution.

2 -8 Division Equations Check It Out: Example 1 A Solve x 2 2 x Check the equation. Check your answer. =9 =9 x is divided by 2. = 2 9 Multiply both sides by 2 to undo the division. = 18 x =9 2 ? 18 = 9 2 ? 9 = 9 Substitute 18 for x in the equation. 18 is the solution.

2 -8 Division Equations Check It Out: Example 1 B Solve the equation. Check your answer. 72 = p 4 72 = p p is divided by 4. 4 4 72 = 4 p Multiply both sides by 4 to undo 4 the division. 288 = p p Check 72 = 4 ? 72 = 288 Substitute 288 for p in the equation. 4 ? 72 = 72 288 is the solution.

2 -8 Division Equations Additional Example 2: Application At Elk Meadows Park an aspen tree is onethird the height of a pine tree. height of aspen = height of pine 3 The aspen tree is 14 feet tall. How tall is the pine tree? Let h represent the height of the pine tree. Substitute 14 for height of 14 = h 3 aspen. h is divided by 3. 3 14 = 3 h Multiply both sides by 3 to undo 3 the division. 42 = h The pine tree is 42 feet tall.

2 -8 Division Equations Check It Out: Example 2 Jamie weighs one-half as much as her father. Jamie’s weight = father’s weight 2 Jamie weighs 95 pounds. How many pounds does her father weigh? Let w represent her father’s weight. Substitute 95 for Jamie’s 95 = w 2 weight. w is divided by 2. 2 95 = 2 w Multiply both sides by 2 to undo 2 the division. 190 = w Jamie’s father weighs 190 pounds.