What is the first step in solving $$20 - 7 \times 2 + (12 \div 3)$$ ?

The first step is to solve the multiplication and division from left to right. So, calculate $$7 \times 2$$ and $$12 \div 3$$ first.

How do you simplify $$\frac{1}{2} + [\frac{3}{4} - \frac{2}{8}]$$ ?

First, simplify inside the brackets: $$\frac{3}{4} - \frac{2}{8} = \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$ . Then add $$\frac{1}{2} + \frac{1}{2} = 1$$ .

What is the result of $$13[7.9 + 4(2.3)]$$ ?

First, calculate $$4(2.3)$$ , then add it to $$7.9$$ , and finally multiply by $$13$$ .

What is the value of $$\left[35 + 4(5.20)\right] \div 2$$ ?

First, calculate $$4(5.20) = 20.80$$ , then add to $$35$$ to get $$55.80$$ , and finally divide by $$2$$ to get $$27.90$$ .

What is the second step in solving $$20 - 7 \times 2 + (12 \div 3)$$ after multiplication?

The second step is to perform the division, which is $$12 \div 3 = 4$$ .

What should you do if there are multiple operations in an expression?

Follow the Order of Operations (PEMDAS): solve Parentheses first, then Exponents, followed by Multiplication and Division from left to right, and finally Addition and Subtraction from left to right.

What is the value of $$\frac{5}{8} + \frac{3}{8}$$ ?

The value is $$1$$ , since $$\frac{5}{8} + \frac{3}{8} = \frac{8}{8} = 1$$ .

What does 'Multiplication' mean in the Order of Operations?

Multiplication is a mathematical operation where a number is added to itself a certain number of times. It is performed after parentheses and exponents.

What does 'Division' mean in the Order of Operations?

Division is the process of determining how many times one number is contained within another. It is performed after parentheses and exponents.

What is the value of $$20 - 7 \times 2 + 4$$ ?

First, calculate $$7 \times 2 = 14$$ , then $$20 - 14 + 4 = 10$$ .

What is the importance of the Order of Operations?

The Order of Operations is important because it ensures that everyone solves mathematical expressions in the same way, leading to consistent and correct results.

Order of operations Flashcards

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1.

FLASHCARD QUESTION

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 in a mathematical expression. The order is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

2.

FLASHCARD QUESTION

Front

What does 'Parentheses' mean in the Order of Operations?

Back

Parentheses are symbols used to group parts of a mathematical expression. Calculations inside parentheses should be performed first.

3.

FLASHCARD QUESTION

Front

What does 'Exponents' mean in the Order of Operations?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

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