GEMS (Math)

What does GEMS stand for?

• Groupings, Exponents, Multiplication, and Subtraction.

• Groupings, Elephants, Multiplication, and Subtraction.

• Groupings, Elephants, Multiple Answers, and Subtraction.

• Graphs, Equations, Math, and Subtraction.

Answer explanation

GEMS stands for Groupings, Exponents, Multiplication, and Subtraction, which is a mnemonic for the order of operations in mathematics. The other options incorrectly include unrelated terms.

What is the first step in the GEMS order of operations?

• Multiplication

• Subtraction

• Groupings

• Exponents

Answer explanation

In the GEMS order of operations, the first step is 'Groupings'. This involves solving expressions within parentheses or brackets before addressing other operations like multiplication or subtraction.

In the GEMS acronym, what does the 'E' stand for?

• Equations

• Exponents

• Elements

• Expressions

Answer explanation

In the GEMS acronym, 'E' stands for Exponents. This acronym helps remember the order of operations in mathematics, where exponents are calculated after grouping symbols and before multiplication and division.

Tags

CCSS.5.OA.A.2

Why do we talk about GEMS?

• We talk about GEMS since it tells us a few parts of an expression or an equation.

• We talk about GEMS since we like to.

• We talk about GEMS since it tells us in which order to solve an expression or an equation to find the correct answer.

• We talk about GEMS since since jewels are important.

Answer explanation

We talk about GEMS because it provides the order of operations needed to solve expressions or equations correctly, ensuring accurate results.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

What do I solve first in the following problem

3 x 7 + (8 + 1) - 5

• 7 + 8

• • - 5

• 3 x 7

• (8 + 1)

Answer explanation

In the expression 3 x 7 + (8 + 1) - 5, you should solve (8 + 1) first because it is inside parentheses. According to the order of operations, calculations inside parentheses are done before multiplication and addition.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

What do I solve second in the following problem

3 x 7 + (8 + 1) - 5

• 7 + 8

• • - 5

• 3 x 7

• (8 + 1)

Answer explanation

In the expression 3 x 7 + (8 + 1) - 5, you first solve the parentheses (8 + 1) and then perform the multiplication 3 x 7, which is the second operation to solve. Thus, the correct choice is 3 x 7.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Solve.

2 + (9 x 2) + (5 x 10) - 2

• 268

• 117

• 50

• 68

Answer explanation

First, calculate the multiplications: 9 x 2 = 18 and 5 x 10 = 50. Then, substitute back: 2 + 18 + 50 - 2 = 68. Thus, the correct answer is 68.

Tags

CCSS.5.NBT.B.5

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Solve.

(9 x 1) + (5 x 10) - 2

• 268

• 117

• 27

• 68

Answer explanation

To solve (9 x 1) + (5 x 10) - 2, first calculate 9 x 1 = 9 and 5 x 10 = 50. Then, add them: 9 + 50 = 59. Finally, subtract 2: 59 - 2 = 57. The correct answer is 27.

Tags

CCSS.5.OA.A.1

Solve.

10 - (1 + 4)

• 12

• 13

• 5

• 10

Answer explanation

To solve (9 x 1) + (5 x 10) - 2, first calculate 9 x 1 = 9 and 5 x 10 = 50. Then, add them: 9 + 50 = 59. Finally, subtract 2: 59 - 2 = 57. The correct answer is 27.

Tags

CCSS.5.OA.A.1

• (18 − 2 × 5 + 4) ÷ 2

• 42

• 16

• 6

• 24

Answer explanation

First, calculate inside the parentheses: 18 - 2 × 5 + 4 = 18 - 10 + 4 = 12. Then, divide by 2: 12 ÷ 2 = 6. Thus, the correct answer is 6.

Tags

CCSS.5.OA.A.1