# 3rd Grade - Multiply And Divide With 1 And 0

 Grade Level: 3rd Skill: Multiplication and Division Topic: Multiply and Divide with 1 and 0 Goal: Understand the special properties of 0 and 1 in multiplication and division Skill Description: Number Sense: Multiplication and division with 1 and 0 The ability to multiply by 0 and understand that the product is always 0. If a number is divided into 0, the answer is also 0. The ability to multiply by 1 and understand that the product will always be the other number multiplied. A number divided by 1 is always that number, as well.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Any number multiplied by 0 or divided into zero is zero. (2) Any number multiplied by one is equal to that number. This is called the Multiplicative Identity Property. (3) Commutative Property: when two numbers are multiplied together the answer (product) is the same regardless of the order of the numbers. (4) Associative Property: the grouping of three numbers does not matter when multiplying. The answer will be the same regardless of what order the numbers appear. (5) A number times 1 will give you a larger answer than that number times 0. (Except when multiplying by 0; 0 x 0 = 0)

### Online Resources

 (1) (2) (3) (4) (5)

### Extra Help Problems

 (1) 2 x 0 = (0) (2) 1 x 5 = (5) (3) 0 x 9 = (0) (4) 9 x 1 = (9) (5) 3 x ____=3 (6) _____x 8=0 (7) 6,754 x ? = 6,754 (1) (8) 10,000 x 0 = ? (0) (9) 0 = 256 x ? (0) (10) 0 ÷ 14 = ? (0) (11) ? ÷ 256 = 0 (0) (12) 89 ÷ 1 = ? (89) (13) 9,900 ÷ 1 = (9,900) (14) ? ÷ 1 = 501 (15) 0 x 0 = ? (0) (16) 5,098 x 1 = ? (5,098) (17) 1 x 897 = ? (897) (18) 1 x 0 = ? (0) (19) 77 x ? = 77 (1) (20) 77 x ? = 0 (0) (21) 100 x 0 = ? (0) (22) 1 x 100 = ? (100) (23) 300 ÷ 1 = ? (300) (24) 9 x 0 x 9 = ? (0) (25) 0 x 88 x 200 = ? (0)