ORDER OF OPERATIONS & DIVISION

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 often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you divide a number by a fraction?

Back

To divide a number by a fraction, multiply the number by the reciprocal of the fraction. For example, to divide 10 by 1/2, you calculate 10 x (2/1) = 20.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by performing operations and combining like terms.

Front

What is the result of 30 ÷ (9 - 4)?

Back

The result is 6, because you first subtract 4 from 9 to get 5, and then divide 30 by 5.

Front

What is the first step in solving the expression 48 ÷ [10 - (5 + 4)]?

Back

The first step is to find the sum of 5 and 4, which equals 9.

Front

How do you handle parentheses in mathematical expressions?

Back

You should always perform the operations inside parentheses first, according to the order of operations.

Front

What is the result of the expression 46 - (19 + 11)?

Back

The result is 16, because you first calculate the sum inside the parentheses (19 + 11 = 30) and then subtract from 46.

Front

What is the difference between multiplication and division?

Back

Multiplication is the process of adding a number to itself a certain number of times, while division is the process of determining how many times one number is contained within another.

Front

How do you evaluate the expression (74 + 16) ÷ 2 x 15?

Back

First, calculate the sum inside the parentheses (74 + 16 = 90), then divide by 2 (90 ÷ 2 = 45), and finally multiply by 15 (45 x 15 = 675).

Front

What is a separator in the context of dividing items?

Back

A separator is a divider used to organize items into distinct sections, allowing for equal distribution of items.