Understanding Addition: Properties and Whole Numbers

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Questions and Answers

Which property of addition is demonstrated by the equation $9 + 0 = 9$?

Commutative Property
Identity Property (correct)
Distributive Property
Associative Property

According to the associative property of addition, the order in which numbers are added affects the final sum.

False (B)

What is the sum of -15 and 8?

-7

In the context of addition, the numbers being added together are called ______.

addends Signup and view all the answers

What is the first step in adding two fractions that have different denominators?

Find the least common multiple (LCM) of the denominators. (B) Signup and view all the answers

Which of the following equations demonstrates the commutative property of addition?

$a + b = b + a$ (D) Signup and view all the answers

Evaluate: $\frac{2}{5} + \frac{1}{3}$

11/15 Signup and view all the answers

Match the following properties of addition with their descriptions:

Commutative Property = The order of addends does not affect the sum. Associative Property = The grouping of addends does not affect the sum. Identity Property = Adding zero to any number does not change the number. Distributive Property = A property involving both addition and multiplication: $a * (b + c) = ab + ac$ Signup and view all the answers

What is the result of adding $5.25 + 3.8$?

$9.05 (B) Signup and view all the answers

Which of the following expressions correctly combines like terms in $(7a + 4b) + (2a - b)$?

$9a + 3b$ (C) Signup and view all the answers

In column addition, you should start adding from the leftmost column.

False (B) Signup and view all the answers

Using the breaking apart method, what are the intermediate steps to calculate $37 + 56$?

$30 + 7 + 50 + 6 = (30 + 50) + (7 + 6) = 80 + 13 = 93$ Signup and view all the answers

Using the compensation method, $59 + 34$ can be rewritten as ______ + 33.

60 Signup and view all the answers

In which of the following real-world scenarios is addition LEAST likely to be used directly?

Determining the area of a rectangular field. (D) Signup and view all the answers

Match the addition technique with its description:

Column Addition = Arranging numbers in columns to add digits based on place value. Breaking Apart = Decomposing numbers into smaller parts for easier addition. Rounding and Adjusting = Approximating numbers to the nearest ten or hundred, then adjusting the result. Compensation = Transferring a value from one addend to another to create easier numbers Signup and view all the answers

Given two algebraic expressions: $4x^2 + 2y - 3$ and $x^2 - y + 5$. What is their sum?

$5x^2 + y + 2$ (C) Signup and view all the answers

Flashcards

What is addition?

Combining numbers to find their total.

Commutative Property

The order of numbers doesn't change the sum.