Mathematics
Grade 7
15 min
Perform multiple operations with decimals
Perform multiple operations with decimals
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1
Introduction & Learning Objectives
Learning Objectives
Apply the order of operations (PEMDAS/BODMAS) to expressions involving decimals.
Accurately add and subtract decimals within multi-step problems.
Correctly multiply and divide decimals within multi-step problems.
Evaluate expressions containing decimals and parentheses.
Solve real-world problems requiring multiple operations with decimals.
Identify and correct common errors when performing multiple operations with decimals.
Ever wonder how stores calculate your total bill when you buy multiple items with different prices and discounts? ๐ It all comes down to performing multiple operations with decimals!
In this lesson, you'll learn how to combine addition, subtraction, multiplication, and division with decimals, following a specific order to get th...
2
Key Concepts & Vocabulary
TermDefinitionExample
DecimalA number that uses a decimal point to represent a whole number and fractional parts (e.g., 3.14, 0.5).In the number 5.75, '5' is the whole number part and '75' represents seventy-five hundredths.
Order of OperationsA set of rules that dictates the sequence in which mathematical operations should be performed to ensure a consistent result.In 2 + 3 ร 4, multiplication is done before addition, so the answer is 14, not 20.
Parentheses/BracketsSymbols used to group parts of an expression, indicating that the operations inside them should be performed first.In (2 + 3) ร 4, the addition inside the parentheses is done first, resulting in 5 ร 4 = 20.
MultiplicationThe process of repeatedly adding a number to itself; finding the product of two or mor...
3
Core Formulas
Order of Operations (PEMDAS/BODMAS)
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
This rule, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) or BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction), ensures that everyone gets the same answer when evaluating an expression with multiple operations. Operations at the same level (like multiplication and division) are performed from left to right.
Decimal Addition and Subtraction
Align the decimal points vertically. Add or subtract as with whole numbers. Place the decimal point in the answer directly below the aligned points.
This rule is crucial f...
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Sign Up Free to ContinueSample Practice Questions
Easy
According to the order of operations (PEMDAS), what is the very first operation you should perform to evaluate the expression (12.5 - 4.1) + 3.2 ร 2.0?
A.Subtraction (12.5 - 4.1)
B.Addition (4.1 + 3.2)
C.Multiplication (3.2 ร 2.0)
D.Addition (result of parentheses + 3.2)
Easy
Evaluate the expression: 5.0 + 2.0 ร 1.5
A.10.5
B.4.5
C.8.0
D.7.5
Easy
Evaluate the expression: 10.8 รท 2.0 - 1.4
A.4.7
B.4.0
C.9.4
D.7.0
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