1-1 Comparing and Ordering Whole Numbers

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1-1 Comparing and Ordering Whole Numbers

• Learn to compare and order whole numbers using
  place value or a number line.

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• To order numbers, you can compare them using
  place value and then write them in order from
  least to greatest.

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Example

• Belizes 2000 population was 249,183 people.
  Icelands 2000 population was 276,365 people.
  Which country had more people?

249,183 Belize
276,365 Iceland
40 thousand is less than 70 thousand. 249,183 is
less than 276,365.
Iceland had more people.
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1-1 Practice

• Compare. Use lt, gt, or .
• 1. 8 9 2. 27 14
• 3. 56 23 4. 10 15
• 5. 11 12 6. 37 16

Order the numbers from least to greatest. 1. 698,
469, 976. 2. 941, 914, 491. 3. 726, 847, 221.
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1-2 Estimating with Whole Numbers

• Learn to estimate with whole numbers.

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• Sometimes in math you do not need an exact
  answer. Instead, you can use an estimate.
  Estimates are close to the exact answer but are
  usually easier and faster to find.

When estimating, you can round the numbers in the
problem to compatible numbers. Compatible numbers
are close to the numbers in the problem, and they
can help you do math mentally.

• Example 12,345 62,167 round to the ten
  thousands

10,000
60,000
70,000
The sum is about 70,000.
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Estimating

• An estimate that is less than the exact answer is
  an underestimate.
• An estimate that is greater than the exact answer
  is an overestimate.

Chelsea is planning the annual softball banquet
for 8 teams. Each team has 18 members. Estimate
how many plates she will need to buy if all the
members attend.
8 ? 18 8 ? 20 160
10 ? 18 10 ? 18 180
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1-2 Practice
Estimate each sum or difference by rounding to
the place value indicated. 1. 7,420 3,527
thousands 2. 47,821 19,925 ten thousands 3.
8,254 5,703 thousands 4. 66,845 24,782 ten
thousands 5. One quart of paint covers an area of
100 square feet. How many quarts are needed to
paint a wall 8 feet tall and 19 feet wide?
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1-3 Exponents
Learn to represent numbers by using exponents.
An exponent tells how many times a number called
the base is used as a factor.
A number is in exponential form when it is
written with a base and an exponent.
73
7 ? 7 ? 7 343
10
0
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1-3 Practice
Write each expression in exponential form. A. 7 ?
7 ? 7 B. 6 ? 6 ? 6 ? 6 ? 6 ? 6 Find each
value. A. 2 C. Write an equality with A
and B B. 3
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2
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1-4 Order of Operations
When together work from left to right
When together work from left to right
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1-4 Practice
Evaluate each expression. 1. 15 4 ? 2 2.
(12 5)2 10 3. 3 9 ? 2 5 4. 43 30
2 5. Chaz bought 4 football cards for 2 each
and 8 baseball cards for 3 each. Evaluate the
expression to find the amount Chaz spent on
cards 4 ? 2 8 ? 3.
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1-5 Mental Math
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Examples
Evaluate 17 5 3 15.
17 5 3 15
17 3 5 15
Use the Associative Property to make groups of
compatible numbers.
(17 3) (5 15)
20 20
40
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• Evaluate 4 ? 13 ? 5.

4 ? 13 ? 5
13 ? 4 ? 5
13 ? (4 ? 5)
13 ? 20
260
17
6 ? 35 6 ? (30 5)
(6 ? 30) (6 ? 5)
180 30
210
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1-5 Practice

• Evaluate.
• 1. 18 24 2 6 2. 10 ? 5 ? 3
• 3. 13 42 7 8
• Use the Distributive Property to find each
  product.
• 4. 8 ? 12 5. 6 ? 15
• 6. 5 ? 34 7. 3 ? 71

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1-7 Patterns and Sequences
Learn to find patterns and to recognize,
describe, and extend patterns in sequences.
Warm Up Determine what could come next. 1. 3, 4,
5, 6, ___ 2. 10, 9, 8, 7, 6, ___ 3. 1, 3, 5, 7,
___ 4. 2, 4, 6, 8, ___ 5. 5, 10, 15, 20, ___
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A sequence is an ordered set of numbers. Each
number in the sequence is called a term.
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Examples
1. 48, 42, 36, 30, , , , . . .
48, 42, 36, 30, , , , . . .
6 6 6 6 6 6
30 6 24 24 6 18 18 6 12
So 24, 18, and 12 will be the next three terms.
2. 24, 34, 31, 41, 38, 48, , ,
,
24, 34, 31, 41, 38, 48, , , ,
10 3 10 3 10 3 10 3
48 3 45 45 10 55 55 3 52
So 45, 55, and 52 are the missing terms.
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Completing other Sequences
A pattern is to multiply one term by 4 and divide
the next by 2.
8 2 4 4 ? 4 16 16 2 8 8 ? 4 32
So 4 and 8 will be the missing terms in the
sequence.
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1-7 Practice
Identify a pattern in each sequence, and then
find the missing terms. 1. 12, 24, 36, 48, , ,
, 2. 75, 71, 67, 63, , ,
, Identify a pattern in each sequence. Name the
missing terms. 3. 1000, 500, , 125, 4. 100,
50, 200, , 400, ,