Digits. There are 10 digits. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
In the number 10,897:
7 is the ones digit
9 is the tens digit
8 is the hundreds digit
0 is the thousands digit
1 is the ten-thousands digit
100
Can fractions be odd or even?
No, only integers (counting numbers) possess the property of being even or odd.
100
What is a number that will divide evenly into the number in question called?
a factor; 1, 2, 3, 4, 6, and 12 are all factors of 12.
100
Even numbers are divisible by _____; odd numbers aren't.
2
100
Numbers that have integer square roots are known as ____________.
perfect squares
200
What are the "counting numbers" called?
Integers.
(-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, and so on)
Fractions are not integers.
200
Is zero a positive number?
No. Zero is neither positive or negative.
200
What do you call an integer that only has two factors: itself and one?
prime number.
example: 37 is a prime number (10 is not)
200
The golden rule of equations: Whatever you do to one side of the equation, ________________________.
you must do to the other side
200
True or False? When you are adding or multiplying a series of numbers, you can regroup the numbers in any way you'd like.
TRUE. This is known as the ASSOCIATIVE law: (a x b) x c = a x (b x c). Likewise, the associative property of addition can be expressed as (a + b) + c = a + (b + c).
DISTRIBUTIVE LAW: a(b + c) = ab + ac
300
When you perform a math problem, you must follow the "order of operations." What is the order of operations?
The ______ of a number is one that the number itself is a factor of.
multiple. (the multiples of 8 are all the numbers of which 8 is a factor: 8, 16, 24, 32, 40 and so on)
300
With inequalities you have to flip the sign when you multiply or divide by _____________.
a negative number
(If x > y, then -x < -y)
300
Raising a number greater than 1 to a power greater than 1 results in a ________ (bigger/smaller) number.
bigger
400
The ________ of a number is equal to its distance from 0 on the number line.
absolute value -- which means that the absolute value of any number is always positive, whether the number itself is positive or negative
400
Are FOIL and factoring are used in quadratic equations?
Yes. ex: (x+4)(x-7)
Quadratic equations involve four terms.
FOIL: first, outer, inner, last
Factoring: For example, in the equation 2 x 3 = 6, 2 and 3 are factors of 6. (p. 198)
400
5 is divided by 2 is 2, with 1 left over. What is this left over number called?
the remainder
4 divided by 2 is 2. The "remainder" is 0.
(If a question asks about a remainder, don't use the calculator. Use long division.)
400
Percent change is expressed as the difference between two numbers ______________ x 100.
divided by the original number
400
Raising a fraction that's between 0 and 1 to a power great than 1 results in a __________ (bigger/smaller) number.
smaller
500
What is the term used for a number in a repeated multiplication?
an exponent
the main number is the "base" and the little number is the "exponent"
500
Fractions, decimals, even and odd numbers can all be consecutive integers.
No, fractions and decimals cannot be consecutive. Only integers can be consecutive.
500
A number is always divisible by its ________.
factors
500
You can multiply and divide any square roots, but you can add or subtract roots only when __________________.
the number under the radical sign is the same
500
A _________ is a number that is represented as as integer and a fraction.