Xavier and Zion are trying to calculate 7 + 3-1 . Here is their conversation: Xavier: "I plan to first add 73 and 32, so will have to start by finding equivalent fractions with a common denominator." "It would be a lot easier if we could start by working with the 1ị and 7. Can we rewrite it like 73 + 1 - 3 ?" Zion: Xavier: "You can't switch the order of numbers in a subtraction problem like you can with addition; 2– 3 is not equal to 3 – 2." Zion: "That's true, but do you remember what we learned about rewriting subtraction expressions using addition? 2– 3 is equal to 2+ (- 3)." 1. Write an expression that is equivalent to 73 + 3 - 1 that uses addition instead of subtraction. 2. If you wrote the terms of your new expression in a different order, would it still be equivalent? Explain your reasoning and be prepared to share your thinking with the class.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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EXPLORATION: A Helpful Observation
Xavier and Zion are trying to calculate 72 +3-12 . Here is their conversation:
Xavier: "I plan to first add 72 and 32, so I will have to start by finding
equivalent fractions with a common denominator."
Zion:
"It would be a lot easier if we could start by working with the 1 and
7. Can we rewrite it like 73 + 1 - 3 ?"
Xavier: "You can't switch the order of numbers in a subtraction problem like
you can with addition; 2 - 3 is not equal to 3 - 2."
Zion:
"That's true, but do you remember what we learned about rewriting
subtraction expressions using addition? 2 - 3 is equal to 2+ (- 3)."
1. Write an expression that is equivalent to 7 + 3 - 1 that uses addition
instead of subtraction.
2. If you wrote the terms of your new expression in a different order, would it
still be equivalent? Explain your reasoning and be prepared to share your
thinking with the class.
2:13 PM
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