Order of Operations and other rules
What is the order of operations? Are there any exceptions?
Grouping
Exponents
Opposites
Roots/radicals
Multiplication
Division
Addition
Subtraction
Exceptions: Do multiplication and division in order from left to right. Do addition and subtraction in order from left to right.
What is 37/100 as a percent?
37%
What is 5498.67902 rounded to the tens?
5500
What principle states:
12 + 52 = 52 + 12
Commutative Principle of Addition
Write 0.004456 in scientific notation.
4.456 X 10-3
What does DRUL stand for?
Down Right Up Left
What is 58% as a fraction?
29/50
What is 389,265.05473 round to the thousands?
389,000
What principle states:
(1 + 2) + 3 = 1 + (2 + 3)
Associative Principle for Addition
Write 234.09 X 1013 in scientific notation.
2.3409 X 1015
What is the divisibility rule for 3?
The number is divisible by three if the sum of the digits is divisible by three.
What is 1.24 as a fraction?
31/25 or 1 6/25
What is 621.90432 rounded to the thousandths?
621.904
What principle states:
(3 + 7) • 9 = 9 • (3 + 7)
Commutative Principle of Multiplication
What is (1.25 X 1025)(3.5 X 1037) in scientific notation?
4.375 X 1062
What is the divisibility rule for 6?
The number is divisible by six is the number is divisible by two and three.
What is 5/8 as a percent?
62.5%
What is 98,534.88995094 rounded to the ten-thousandths?
98,534.8900
What principle states:
[(12 - 7) • (13 + 2)] • 8 = (12 - 7) [(13 + 2) • 8]
Associative Principle of Multiplication
What is (3 X 1059)(7.5 X 10-17) in scientific notation?
2.25 X 1043
What is the divisibility rule for 8?
The number is divisible by eight if the last three digits are divisible by eight.
3.75%
What is 298.9998 rounded to the thousandths?
299.000
What principle states:
[(2 + 3) + (8 + 3)] • [(15 + 6) + (12 + 20)] =
[(15 + 6) + (12 + 20)] • [(2 + 3) + (8 + 3)]
Commutative Principle of Multiplication
What is (5.2 X 10-7)(9.1 X 10-24) in scientific notation?
4.732 X 10-30