Eureka Math Module 4 Topic B
Special Notations of Operations6.EE.A.1:Write and evaluate numerical expressions involving whole – number exponents.
6.EE.A.2c: Write, read, and evaluate expressions in which letters stand for numbers.
Lesson 5 – Exponents
• Objective:
– I can write an expression in exponential form, expanded form, and standard form. I can evaluate a numerical expression.
• Guiding Question: (Write your answer on the lines below.)
– How is the expression, 32 different from 3 × 2?
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• Numerical Expressions – a math expression that includes numbers and symbols
• Exponent – tells how many times to multiply a number itself
• Base – a number being multiplied in an exponential notation
• Power - Exponent
• Squared – a number raised to the second power: 42
• Cubed – a number raised to the third power: 43
• Exponential notation – a number written with an exponent: 32
• Standard notation – a rational number: 9
• Expanded notation - a number written as an expression: 3 × 3
Lesson 5 – Exponents
Exponential
Form
Standard
Form
Expanded
Form
32 9 3 × 3
Examples: Write the expanded form in exponential form.
Write the exponential form in expanded form.
Lesson 5 – Exponents
Examples: Write the expanded form in exponential form.
Write the exponential form in expanded form.
Lesson 5 – Exponents
Examples 7 and
8 written in
fraction form
Examples: Write the expanded form in exponential form.
Write the exponential form in expanded form.
Lesson 5 – Exponents
Complete the table.
Lesson 5 – Exponents
Base Squared Cubed
2 22 = 2 × 2 = 4 23 = 2 × 2 × 2 = 8
3 32 = 3 × 3 = 9
4
5
6
Lesson 6 – Order of Operations
• Objective:
– I can use order of operations to evaluate numerical expressions.
• Guiding Question: (Write your answer on the lines below.)
– How would your answer be different in solving numerical expressions if you did not follow order of operations?
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When we solve Numerical Expressions we must follow a specific order to arrive at the correct
value of the expression. We follow the “Order of Operations”. This states what order the
operations will be solved in.
1. Parenthesis are always solved first.
2. Exponents are solved next or if there are not parentheses in the expression.
3. Multiplication and Division are solved in order from left to right in the expression (whichever
comes first).
4. Addition and Subtraction are last and also solved from left to right, whichever comes first in
the expression.
To remember the order we use the acronym: PEMDAS or Please Excuse My Dear Aunt Sally.
Lesson 6 – Order of Operations
Example:
2 × (3 + 5) ÷ 23 - 6
2 × 8 ÷ 23 - 6
2 × 8 ÷ 8 - 6
16 ÷ 8 - 6
8 - 6
2
Lesson 6 – Order of Operations
Solve Parentheses First
Solve Exponents
Next
Then multiply or divide, whichever
comes first
Last, add or
subtract
Lesson 6 – Order of Operations
Since there are no
parentheses, we
move to the next
order of operation,
which are
exponents.