# 4th Grade - Multiplying Equals Are Equal

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 Grade Level: 4th Skill: Algebra Topic: Multiplying Equals are Equal Goal: Know and understand that equals multiplied by equals are equal. Skill Description: Use multiplication to make both sides equal.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Which equations are equal: (15 ÷ 3) x 7 = 5 x 1 x 7 (3 + 3) x 6 = (2 x 3) x 6 ( 8 – 1) x 2 = 8 x 2 (2) Find the missing number to make the equation equal: 4 x (5 x 4) = 4 x (10 x __) (2) (3) Which number needs to be changed to make the equation true: (6 x 2) x 14 = (4 x 3) x (2 x 9) (9; change to 7) (4) Which equation is not equal to 36: (3 x 2) x 6 = 4 x (3 x 3) (3 x 4) x 3 = 6 x 6 (7 x 3) x 2 = 9 x (2 x 2) (c) (5) If you multiply both sides by 9, will they be equal? Write yes or no. (6 x7) = (7 x 3) x 2 ______ (yes)

### Learning Tips

 (1) Review variables. Know that a variable is the symbol for an unknown number. If a variable is next to a number, you are supposed to multiply (3y = 3 x y). (2) Use a balancing scale to make both sides equal, using objects and shapes. For example, 3 yellow squares = 1 red rectangle. Place it in the scale to see if it balances. (see image below) (3) Review comparing numbers (greater than, less than, and equal to) Write down some multiplication problems and have your child compare the sums, using <, >, or =. i.e.) (5 x 2) x 3 O 3 x 5 (4) Use an image of a scale in the beginning so the child will have a visual of trying to balance the problems: _____ | _____ (5) Practice simple multiplication and division facts, using flash cards, timed practice, card games, etc. This will remind the child how simple the problems can be as long as they know their multiplication and division facts.

### Extra Help Problems

 (1) Find the missing number to make the equation equal: 5 x 2 x 6 = 2 x __ x 10 (3) (2) Find the missing number to make the equation equal: 9 x 4 x 7 = 9 x (2 x __) x 7 (2) (3) Find the missing number to make the equation equal: (8 x 2) x 3 = (4 x __) x 3 (4) (4) Find the missing number to make the equation equal: (54 ÷ 6) x 12 = (3 x __) x 12 (3) (5) Find the missing number to make the equation equal: 2 x 4 x 6 = 8 x 3 x __ (2) (6) Find the missing number to make the equation equal: (28 ÷ 7) x 9 = 3 x 3 x ___ (4) (7) Find the missing number to make the equation equal: 10 x 2 x 5 = (2 x 2) x ____ (25) (8) Find the missing number to make the equation equal: (144 ÷12) x 7 = 4 x 3 x ___ (7) (9) If you multiply both sides by 6, will they be equal? Write yes or no. 4 x 2 = 64 ÷ 8 (yes) (10) If you multiply both sides by 9, will they be equal? Write yes or no. (7 x 7) + 7 = (7 x 2 x 4) (yes) (11) If you multiply both sides by 8, will they be equal? Write yes or no. 6 x 3 + 5 = 5 x 3 + 6 (no) (12) If you multiply both sides by 5, will they be equal? Write yes or no. (9 x 3) x 4 = 9 x 4 x 3 (yes) (13) Solve the equations, are they equal: (4 x 4) x 3 + 5 = ( 8 x 2) x 8 (yes) (14) Solve the equations, are they equal: (9 x 7) – (7 x 3) = 2 x 3 (63 – 21= 42 =6; not equal) (15) Solve the equations, are they equal: (7 x 2) + 8 = 5 x 2 x 2 (14 + 8 = 22 = 20; not equal) (16) Which equation is not equal: (3 + 4) x 3 = 7 x 3 (5 x 3) x 2 = 5 x 6 4 x 4 = 2 x 2 x 8 (c) (17) Which equation is not equal: (24 ÷12) x 9 = 6 x 3 (4 x 4) + 8 = (2 x 12) 14 x 2 = 2 x 2 x 7 (a) (18) Find the value of the variable: 2(3y + 4) = 10 x 5 (y= 7) (19) Find the value of he variable: 2(1 + 1y) = 2 x 3 (y = 2) (20) Compare the equations: (3 x 4) x 2 O (6 x 2) x 2 (24 = 24) (21) Compare the equations: (121 ÷ 11) x 4 O (8 x 3) x 4 (44 < 96) (22) Compare the equations: (36 ÷ 6) x 9 O 3 x (3 x 6) (54 = 54) (23) Compare the equations: 81 x 5 O 51 x 8 (405 < 408) (24) Compare the equations: 7 x 2 x 3 O 14 x 3 (42 = 42) (25) Compare the equations: 9 x 9 x 5 O (9 x 3) x (3 x 5) (405 = 405)

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