How Can You Distribute Numbers When You're Adding and Multiplying?
How Can You Distribute Numbers When You're Adding and Multiplying?
Note:
You can use the distributive property to help you add and multiply numbers! Follow along with this tutorial to see the uses of the distributive property.
Keywords:
definition
concept
distributive
property
addition
subtraction
introduction
Background Tutorials
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Multiplying integers is just like performing a bunch of additions of the same integer! Check out this tutorial and see how much multiplying and repeated addition have in common.
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!
Further Exploration
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
If you're trying to multiply the sum of two numbers, the distributive property may make things easier. Follow along with this tutorial to see how the distributive property can be used to evaluate an expression.