HW: Flashcardizz: simplify expressions and conversions

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 calculations are performed. The acronym PEMDAS is commonly used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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 for the remaining calculations.

Front

What does it mean to divide by a number in an expression?

Back

Dividing by a number in an expression means to split the quantity into equal parts. For example, 6 ÷ 2 means to divide 6 into 2 equal parts, resulting in 3.

Front

What is the result of 6 ÷ 2(1 + 2)?

Back

The result is 9. According to the order of operations, first calculate the parentheses (1 + 2 = 3), then perform the division and multiplication from left to right: 6 ÷ 2 = 3, then 3 × 3 = 9.

Front

How do you handle division and multiplication in the same expression?

Back

When division and multiplication appear in the same expression, perform them from left to right as they appear.

Front

What is the value of (16 - 6 ÷ 2) + 4 × 3?

Back

The value is 25. First, calculate 6 ÷ 2 = 3, then (16 - 3) + 4 × 3 = 13 + 12 = 25.

Front

What is the result of 4 + 4 ÷ 4?

Back

The result is 5. According to the order of operations, first perform the division: 4 ÷ 4 = 1, then add: 4 + 1 = 5.

Front

How do you simplify the expression 10 × 4 - 2 × (16 ÷ 4) ÷ 2 × 2 + 9?

Back

The result is 41. Follow the order of operations: 10 × 4 = 40, 16 ÷ 4 = 4, then 2 × 4 = 8, 8 ÷ 2 = 4, 4 × 2 = 8, then 40 - 8 + 9 = 41.

Front

What is the first step in simplifying the expression 4 × [28 + 8 ÷ 2 + 17]?

Back

The first step is to simplify inside the brackets: 8 ÷ 2 = 4, then 28 + 4 + 17 = 49.

Front

What is the final result of 4 × [28 + 8 ÷ 2 + 17]?

Back

The final result is 196. After simplifying inside the brackets to 49, multiply: 4 × 49 = 196.