Math Problem Statement
Solution
It looks like you've uploaded an image of a worksheet covering the topic of the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here’s a step-by-step breakdown of how to solve these problems:
Problems on the Worksheet:
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9 × 5 (20 ÷ 4 + 3)
- Step 1: Evaluate inside the parentheses first:
Thus, . - Step 2: Add inside the parentheses:
So, . - Step 3: Perform multiplication from left to right:
.
- Step 1: Evaluate inside the parentheses first:
-
7 × (30 ÷ 5 + 9)
- Step 1: Evaluate inside the parentheses first:
. - Step 2: Add inside the parentheses:
So, . - Step 3: Multiply:
.
- Step 1: Evaluate inside the parentheses first:
-
(12 ÷ 3) + (4 × 6)
- Step 1: Evaluate inside each set of parentheses:
. - Step 2: Add the results:
.
- Step 1: Evaluate inside each set of parentheses:
-
(17 + 9) ÷ 4
- Step 1: Evaluate inside the parentheses:
. - Step 2: Divide:
.
- Step 1: Evaluate inside the parentheses:
-
49 ÷ (7 × 2) − 9
- Step 1: Evaluate inside the parentheses:
. - Step 2: Divide:
. - Step 3: Subtract:
.
- Step 1: Evaluate inside the parentheses:
-
36 ÷ 6 + 8 − 4 × 3
- Step 1: Perform
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Math Problem Analysis
Mathematical Concepts
Order of Operations
PEMDAS
Arithmetic
Basic Algebra
Formulas
Order of Operations: Parentheses > Exponents > Multiplication and Division > Addition and Subtraction
Division Formula: a ÷ b = result
Multiplication Formula: a × b = result
Addition Formula: a + b = result
Subtraction Formula: a - b = result
Theorems
PEMDAS
Suitable Grade Level
Grade 5-7
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