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 include an equality sign.

Front

How do you evaluate a numerical expression?

Back

To evaluate a numerical expression, perform the operations in the correct order, following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Front

What does the expression 45 x 7 represent?

Back

The expression 45 x 7 represents 45 times as much as 7, or the total of adding 7 together 45 times.

Front

What is the value of the expression (3 x 6) + 2?

Back

The value of the expression (3 x 6) + 2 is 20.

Front

In the expression 9 x (4 + 5) - 2, what is the first step in simplifying?

Back

The first step in simplifying the expression 9 x (4 + 5) - 2 is to evaluate the expression inside the parentheses, which is 4 + 5.

Front

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

Back

You can rewrite the expression (3 x 8) x 6 as 6 x (3 x 8) using the commutative property of multiplication.

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that changing the order of the factors does not change the product. For example, a x b = b x a.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

How do you solve the equation (11 + 4) + 3 = ( ___ + 6) + 2?

Back

To solve the equation, you can simplify the left side to 18 and then set it equal to the right side, leading to the equation 18 = (x + 6) + 2. Solving for x gives x = 10.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which operations should be performed in a mathematical expression: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).