Exponents, Order of Operations and Expressions

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 × 2 × 2.

Tags

CCSS.6.EE.A.1

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 common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Tags

CCSS.7.NS.A.3

Front

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, first calculate the exponent, then perform any multiplication or division, and finally perform addition or subtraction as per the order of operations.

Tags

CCSS.6.EE.A.1

Front

What is the value of 6^2?

Back

The value of 6^2 is 36, since 6 multiplied by itself (6 × 6) equals 36.

Tags

CCSS.6.EE.A.1

Front

How do you substitute a variable in an expression?

Back

To substitute a variable in an expression, replace the variable with its given value and then simplify the expression according to the order of operations.

Tags

CCSS.6.EE.A.2C

Front

What is the result of 5 × 4 + 8 × 7?

Back

The result is 76. First, calculate 5 × 4 = 20 and 8 × 7 = 56, then add them together: 20 + 56 = 76.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the value of 2d + 15 if d = 2?

Back

The value is 19. Substitute d with 2: 2(2) + 15 = 4 + 15 = 19.

Tags

CCSS.6.EE.A.2C

Front

What is the value of cd if c = 7 and d = 6?

Back

The value is 42. Substitute c with 7 and d with 6: 7 × 6 = 42.

Tags

CCSS.6.EE.A.2C

Front

How do you solve for a variable in an expression?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.7

Front

What is the value of s - t + u if s = 11, t = 9, and u = 10?

Back

The value is 12. Substitute the values: 11 - 9 + 10 = 2 + 10 = 12.

Tags

CCSS.6.EE.A.2C