Numerical Expressions

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations (such as addition, subtraction, multiplication, and division) but does not contain any variables.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, first perform the operations inside the parentheses, then follow the order of operations (PEMDAS/BODMAS) for the remaining calculations.

Front

What does the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is the order of operations used to evaluate expressions.

Front

What is the first step in simplifying the expression 8 + [4 x (3 + 6)]?

Back

The first step is to simplify the expression inside the parentheses: (3 + 6) = 9.

Front

How do you represent '2 more than the product of 6 and 3' as a numerical expression?

Back

The expression is represented as 2 + (6 x 3).

Front

What is the result of the expression 9 + (12 x 4)?

Back

The result is 57.

Front

How do you write the expression for 'Add 6 and 3, multiply the sum by 9, and subtract 4 from the product'?

Back

The expression is (6 + 3) x 9 - 4.

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a x b) x c = a x (b x c).

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

How can you rewrite the expression (3 x 8) x 6 using the commutative property?

Back

You can rewrite it as 6 x (3 x 8).