SF-7S-Order of Operations with Integers

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

Front

What does it mean to divide a negative number by a positive number?

Back

Dividing a negative number by a positive number results in a negative quotient. For example, -10 ÷ 2 = -5.

Front

What is the result of adding two negative integers?

Back

Adding two negative integers results in a more negative integer. For example, -3 + (-5) = -8.

Front

What is the result of subtracting a negative integer from a positive integer?

Back

Subtracting a negative integer is the same as adding its positive counterpart. For example, 5 - (-3) = 5 + 3 = 8.

Front

How do you handle multiplication and division in the Order of Operations?

Back

Multiplication and division are performed from left to right as they appear in the expression, regardless of which comes first.

Front

What is the result of multiplying a negative integer by a positive integer?

Back

Multiplying a negative integer by a positive integer results in a negative product. For example, -4 x 3 = -12.

Front

What is the result of multiplying two negative integers?

Back

Multiplying two negative integers results in a positive product. For example, -2 x -3 = 6.

Front

What is the result of adding a positive integer to a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Front

What is the value of the expression: 3 + 27 ÷ (-3)?

Back

The value is -6. First, divide 27 by -3 to get -9, then add 3 to get -6.

Front

What is the value of the expression: -5 + 6 - (-9) - 1?

Back

The value is 9. First, subtract -9 (which is adding 9), then calculate -5 + 6 + 9 - 1.