Numerical Expressions

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations (like addition, subtraction, multiplication, and division) but does not have an equal sign.

Front

What does 'order of operations' mean?

Back

Order of operations is the rules that tell you the sequence in which to solve different parts of a mathematical expression. The common order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What is the result of 12 - 3 x 6?

Back

The result is -6. According to the order of operations, you multiply first: 3 x 6 = 18, then subtract: 12 - 18 = -6.

Front

How do you multiply the difference of two numbers?

Back

To multiply the difference of two numbers, first subtract the second number from the first, then multiply the result by another number. For example, for 3 x (7 - 2), first calculate (7 - 2) = 5, then multiply: 3 x 5 = 15.

Front

What is the value of (16 + 4) - 8 x 2?

Back

The value is 4. First, calculate inside the parentheses: (16 + 4) = 20. Then, multiply: 8 x 2 = 16. Finally, subtract: 20 - 16 = 4.

Front

What does 'divide and then subtract' mean in a numerical expression?

Back

It means to first perform the division operation and then subtract the result from another number. For example, in 20 ÷ 5 - 2, first divide 20 by 5 to get 4, then subtract 2 to get 2.

Front

What is the result of 3 x 4 + 9 - 5?

Back

The result is 16. First, multiply: 3 x 4 = 12. Then add 9: 12 + 9 = 21. Finally, subtract 5: 21 - 5 = 16.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and operations without an equal sign, while an equation is a statement that two expressions are equal, containing an equal sign.

Front

What does 'subtracting a product' mean?

Back

Subtracting a product means to take the result of a multiplication and subtract it from another number. For example, in 12 - (3 x 6), you first calculate 3 x 6 = 18, then subtract: 12 - 18 = -6.

Front

What is the first step in solving 20 ÷ 5 - 2?

Back

The first step is to perform the division: 20 ÷ 5 = 4.