Number Properties
Which property is shown?
5 x (4 x 19) = (5 x 4) x 19
Associative Property (of Multiplication)
What does the E stand for in the order of operations mnemonic "PEMDAS"?
exponents
What word means "the answer to an addition problem"?
Sum
What is the name of these symbols: { }
Braces
What number is equal to 104 ?
10,000
Which property is shown?
53 x 8 = (50 x 8) + (3 x 8)
Distributive Property
Name an operation that always happens AFTER multiplication.
Addition or subtraction
What word means "the answer to a division problem"?
Quotient
Put the three grouping symbols in the correct order, from first to last.
Parentheses, brackets, braces
A factorial is when you take a number and multiply it by all the smaller positive whole numbers.
What is 5 factorial? (This is written 5! in math symbols.)
120
49 x 10 x 1
490
Evaluate (36 + 14) x 4 ÷ 5
40
Write the expression that matches "add 7 to the product of 9 and 14"
7 + (9 x 14)
or (9 x 14) + 7
Evaluate 6 x [(21 - 9) ÷ 3]
24
Can you name any other symbols we might use to officially group operations together in math, besides parentheses, brackets, and braces?
Fraction bar, absolute value symbols, square root sign
What is the name of the property that says you can rearrange the order for adding and multiplication?
Commutative Property
Evaluate 42 ÷ 3 + 3 x 0
14
Write the expression that matches "You buy a pack of 20 baseball cards and lose four of them. Then you evenly share the remaining cards between your two younger siblings."
(20 - 4) ÷ 2
Evaluate (41 - 27) x (300 ÷ 20)
210
Evaluate [39 - (4 + 2)2]3
27
Why does the commutative property help you solve the problem 42 + 99 + 58?
Because you can rearrange and add 42 + 58 first, making exactly 100. Then add 99 to get 199.
Why do we need a specific order of operations?
Sample answers: So we can all agree on the answer to a problem. So we can all do the same steps in the same order. So we don't disagree about which way to do things.
Express (18 ÷ 2) - 5 in words.
Sample answer: subtract 5 from the quotient of 18 and 2
Write an expression that represents "add 3 to the sum of the product of 9 and 2 and the quotient of 10 and 5"
[(9 x 2) + (10 ÷ 5)] + 3
Write down at least four other ways to show "one half" in math.
Sample answers: 0.5, 1/2, 2/4, 1/4 + 1/4, etc.