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Quiz about Elementary Math
Quiz about Elementary Math

Elementary Math Trivia Quiz


Late elementary school math covers "properties" of math and other things like order of operations. Understanding these is important for doing well with algebra later. How well do you know these topics?

A multiple-choice quiz by mike32768. Estimated time: 4 mins.
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Author
mike32768
Time
4 mins
Type
Multiple Choice
Quiz #
301,546
Updated
Dec 03 21
# Qns
10
Difficulty
Average
Avg Score
7 / 10
Plays
2485
Last 3 plays: Frenzy4489 (8/10), Guest 174 (9/10), Guest 67 (7/10).
Question 1 of 10
1. The young mathematician is presented with this problem:

(13 + 7) x (5 - 3) / 4 x (1 + 1) =

Which operation would the young mathematician do first?

Hint


Question 2 of 10
2. The young math student wants to learn more. He proceeds with his lessons. One of the most basic properties of math is demonstrated here. What is it called?

2 + 3 = 3 + 2

Hint


Question 3 of 10
3. The young student is taught another basic, yet important, property of mathematic operations, and it's demonstrated below. Which property is it?

(5 + 2) + 7 = 5 + (2 + 7)

Hint


Question 4 of 10
4. Which mathematical property is demonstrated below?

3 + 0 = 3

Hint


Question 5 of 10
5. Which property of math is the young student learning with the following equation?

3 x (4 + 7) = (3 x 4) + (3 x 7)
Hint


Question 6 of 10
6. By convention, what is the correct order of operation for the following equation, written as such?

5 + 2 x 8 / 4 - 3 =
Hint


Question 7 of 10
7. Which of the following DOES NOT indicate multiplication of the number 4 and the variable, 'Y'? Hint


Question 8 of 10
8. In mathematics, what is a binary operation? Hint


Question 9 of 10
9. When multiplying two negative numbers, what kind of number does one always get for an answer? Hint


Question 10 of 10
10. Generally speaking, dividing some non-zero number by zero yields what result? Hint



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Mar 23 2024 : Frenzy4489: 8/10
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quiz
Quiz Answer Key and Fun Facts
1. The young mathematician is presented with this problem: (13 + 7) x (5 - 3) / 4 x (1 + 1) = Which operation would the young mathematician do first?

Answer: Those inside parentheses

Parentheses take precedence, always - they are only necessary in an equation for that purpose. Ignore them to your peril.

So the answer would be:

(13 + 7) x (5 - 3) / 4 x (1 + 1) =
20 x 2 / 4 X 2 =
40/8 = 5
2. The young math student wants to learn more. He proceeds with his lessons. One of the most basic properties of math is demonstrated here. What is it called? 2 + 3 = 3 + 2

Answer: Commutative Property

This is the commutative property. Something that commutes (like a commutator or commuter) goes back and forth, changing direction returning to its original state/position. The math example demonstrates that same property, since writing the equation in either direction (as "3 + 2" and "2 + 3") results in the same answer, 5.

Note that addition and multiplication are both commutative, while subtraction and division are not. Try a few examples and show it to yourself.
3. The young student is taught another basic, yet important, property of mathematic operations, and it's demonstrated below. Which property is it? (5 + 2) + 7 = 5 + (2 + 7)

Answer: Associative Property

Note the order of the operands does not change as it would in a demonstration of commutativity, just the arrangement of the parentheses.

Think of the three operands, 5, 2 and 7 as classmates. In the example, the left side shows classmates 5 and 2 being friends (in other words, "associating") leaving '7' by itself. The right side of the equation shows the same three classmates, but this time 2 and 7 are associating, and 5 is alone.
4. Which mathematical property is demonstrated below? 3 + 0 = 3

Answer: Identity Property

Adding zero to any number does not change the number's value. So, by definition, zero is the identity element for addition (and subtraction). Likewise, the number one is the identity element for multiplication and division, as in 7 x 1 = 7 .

While this property may seem obvious, it is good to understand what it means and how one can use it to simplify otherwise (possibly complex) equations.
5. Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)

Answer: Distributive Property

Note how the three is "distributed" to each of the elements in the parentheses. Knowing this characteristic is important for the proper solving of certain algebraic equations.
6. By convention, what is the correct order of operation for the following equation, written as such? 5 + 2 x 8 / 4 - 3 =

Answer: Multiply, Divide, Add, Subtract

We scan the equation and perform operations in the following order:
Parentheses, Exponents and Roots, Multiplication and Division, Addition and Subtraction (sometimes abbreviated as PEMDAS or PEDMAS). If there are competing operators, work from left to right. So we would do the following:

2 x 8 = 16, then 16 / 4 = 4, then add 5, then subtract 3 and we get 6.

Imagine if we tossed aside convention and simply performed the math in pure left-to-right order?

5 + 2 = 7, then 7 x 8 = 56, then 56 / 4 = 14, then 14 - 3 = 11!
7. Which of the following DOES NOT indicate multiplication of the number 4 and the variable, 'Y'?

Answer: 4%Y

Another is to place a dot (a little higher than a period) between the '4' and the 'Y'. Note how confusing it would get to use the 4 x Y approach we all learned as youngsters in Algebra where we often use the letter 'x' to represent "the unknown quantity": 4 x X is a bit confusing.

Most mathematicians use the 4Y syntax - it's unambiguous, succinct and easy to write.

Programmers use the asterisk: 4 * Y
8. In mathematics, what is a binary operation?

Answer: One that involves two operands

Addition and multiplication are two examples of binary operations.

The equations 2 + 3 and 2 x 3 each have two operands (the '2' and the '3') and one binary operator (the '+' or the 'x')

There are "unary" operations such as placing a minus sign in front of a number to make it negative: -41

One is more likely to run into unary operators in computer programming, however.
9. When multiplying two negative numbers, what kind of number does one always get for an answer?

Answer: Positive number

Two negative numbers, when multiplied, always yield a positive number.
10. Generally speaking, dividing some non-zero number by zero yields what result?

Answer: Undefined or infinity

Depending on the context, dividing by zero can be quite problematic. In the simplest case, the answer is undefined - after all how does one physically divide something zero times? However, in some more advanced cases it is useful to consider the answer to be infinity.
Source: Author mike32768

This quiz was reviewed by FunTrivia editor crisw before going online.
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