Natural Numbers Is Also Called Counting Numbers: N = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Ch.1Signed Numbers

Natural numbers is also called counting numbers: N = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, …}

When we combine the number 0 with the natural numbers, we obtain the set of whole numbers.

The set consisting of the natural numbers, 0, and the negatives of the natural numbers is called the set of integers.

The number line is a graph we use to visualize the set of integers, as well as sets of other numbers.

The absolute value of an integer a, denoted by |a|, is the distance from 0 to a on the number line. Because absolute value describes as distance, it is never negative.

The Square root of a given number is that number which when squared equals the given number.

Order of Operations: 1. Perform all operations within grouping symbols. 2. Evaluate all exponential expression. 3. Do all multiplications and divisions in the order in which they occur, working from left to right. 4. Finally, do all additions and subtractions in the order in which they occur, working from left to right.

Ex1. Insert the proper sign (< or > or =) between the given numbers.

a)1 2b) -1 2c) -5 -7d) 0 -5

e)-100 0f) g) 3

Ex2.Find the absolute value of each of the given number.

a)=b) =c) =d) =

Ex3. Perform the indicated operations on the given signed numbers.

a) b) c) d)

e) 17 - (-11)=f) -18 - (-5)=g) -18 – 5=h) -14 - (-10)=

i)

Ex4.Perform the indicated operations on the given signed numbers.

a)b) c) d)

e)( f) g)

h) i) =

Ex5. Evaluate the given expressions

a)b) c) d)

e) f) g) h)

Ex6. Evaluate the given expressions

a)b) c)

d) e) f)

Ex7. Change the given numbers from ordinary notation to scientific notation.

a)420,000

b)2,010,000,000

c)0.000052

d)0.0108

Ex8. Change the given numbers from scientific notation to ordinary notation.

a)

b)

c)

d)

Ex9. Evaluate the given expressions. (Solution in scientific notation)

a)

b)

c)

d)

e)

f)