Thursday: Simplifying 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 it mean to simplify a numerical expression?

Back

To simplify a numerical expression means to perform the operations in the expression to reduce it to its simplest form.

Front

What is the order of operations?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often remembered as PEMDAS.

Front

How do parentheses affect the order of operations?

Back

Parentheses indicate that the operations inside them should be performed first before any other operations.

Front

What is the result of (32 + 16) ÷ 8?

Back

The result is 6.

Front

What expression represents adding 6 and 3, multiplying the sum by 9, and then subtracting 4?

Back

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

Front

Which expression does NOT simplify to 34: 14 + (5 * 4), 3[14 - (2 + 4)], 58 - 4(10 - 4), or [9 + (3 * 7)] + 4?

Back

The expression that does NOT simplify to 34 is 3[14 - (2 + 4)].

Front

How do you simplify 8 + [4 x (3 + 6)]?

Back

First, add 3 and 6 to get 9, then multiply 4 by 9 to get 36, and finally add that to 8 to get 44.

Front

What is the first step in simplifying 5 - 3 + 2?

Back

The first step is to perform the subtraction: 5 - 3 = 2.

Front

What is the error in the expression 5 - 3 + 2 = 5 - 5 = 0?

Back

The error is that addition was done first instead of subtraction.