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 'twice the sum of six and five' mean?

Back

It means to first add six and five together, then multiply the result by two. In numerical form, it is written as 2 x (6 + 5).

Front

How do you evaluate the expression 3 x 4 + 9 - 5?

Back

First, multiply 3 and 4 to get 12, then add 9 to get 21, and finally subtract 5 to get 16.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that tells you the sequence to follow when evaluating expressions: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What does 'divide 20 by 5, then subtract 2' mean?

Back

It means to first divide 20 by 5 to get 4, and then subtract 2 from that result, giving you 2. In numerical form, it is written as 20 ÷ 5 - 2.

Front

How do you solve the expression 5 + 16 ÷ 4 - 1?

Back

First, divide 16 by 4 to get 4, then add 5 to get 9, and finally subtract 1 to get 8.

Front

If Amelia has a $100 bill and spends $12 on a sweater, how much does she have left?

Back

She has $100 - $12 = $88 left after buying the sweater.

Front

If Amelia earns $2 from chores after spending $12, how does that affect her total?

Back

After earning $2, her total becomes $88 + $2 = $90.

Front

What is the final amount Amelia has after spending $8 on a shirt?

Back

She has $90 - $8 = $82 left after buying the shirt.

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.