Name _____________________________________________ Date _______ Periods _______
Unit One Review (Place value topics and whole number addition/subtraction)
Place Value and Forms of Numbers:
 Standard form – uses normal everyday numbers – this is the most common way of
writing numbers (705,381)
 Expanded form – shows the value of each digit in the form of an addition problem
(700,000 + 5,000 + 300 + 80 + 1)
 Word form – uses words to express the number – the words that are written are exactly
the same as the words you say when reading a number orally (seven hundred five
thousand, three hundred eighty one)
 Place Value – is named by the position of the digit within the number – this is a word,
not a number (45,629 – the place value of the 6 is the hundreds place)
 Value – is determined by the position of the digit within the number – this is a number,
how much the digit is worth (45,629 – the value of the 6 is 600)
PERIODS
PLACE VALUES
Practice questions:
1.) Write the number 83,401 in expanded and word form.
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2.) Write 8,000,000 + 40,000 + 3,000 + 200 + 5 in standard and word form.
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3.) What is the value of the 6 in 645,103? _____________________________
4.) What is the place value of the 5 in 645,103? _____________________________
5.) Write a number that has a 3 in the ten thousands place. (Don’t use the number 3 in any
other place value.) ___________________________
Comparing and Ordering Whole Numbers:
 Count the number of digits in each number. The number with more digits is larger.
(3,456,834 > 456,834 because it has more digits)
 If the numbers have the same number of digits, start comparing with the largest
place value. If the place value is the same, move one digit to the right until you have
different digits. Look at the two different digits – the larger digit is a part of the
larger number (456,814 < 456,914)
 Be careful to read directions – you may need to order from least to greatest or
greatest to least.
 Equation – a math sentence that shows two math expressions are equal (2+5 = 3+4)
 Inequality – a math sentence where one expression is larger or smaller than the
other (4+5 > 1+4)
Practice questions: (<> or =)
6.) 357,135 ______ 3,571,350
7.) 42,010 ______ 41,210
8.) 8 million ______ 8,000,001
9.) 8,310
______ 8,310
Order greatest to least:
10.)
81,010; 81,100; 81,001
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Order least to greatest:
11.)
145,310; 154,310; 145, 130
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Rounding Whole Numbers:
Steps for rounding:
Step 1: Underline the place value you are rounding to. Example: 1,689 to the nearest
hundred
Step 2: If there are digits to the left of the underlined number, they will stay in your
answer. Example: the 1 will remain in the thousands place
Step 3: Look at the digit to the right of the underlined digit. If that digit is 0, 1, 2, 3, or 4,
keep the underlined digit the same. If the digit is 5, 6, 7, 8 or 9, round up by increasing
the underlined digit by one. Example: 1,689 The 6 has an 8 beside it so I should round
the 6 up to 7.
Step 4: Change all of the digits to the right of the underlined place to zero. Example:
1,689 rounds to 1,700
Another way to think about it:
 1,689 comes between 1,600 and 1,700. It is closer to 1,700 so it rounds to 1,700. (1,650
is halfway between 1,600 and 1,700 so all numbers from 1,650 to 1,700 would round to
1,700.)
If the number that is rounding up is a 9…….
 Example: 2,951 to the nearest hundred – There is a 5 to the right of the hundreds place
which is 9. When I increase the 9, I cannot write a ten in a single place value. You must
increase the place value to the left of the underlined number….so the 2 becomes a 3.
The answer is 3,000.
Practice problems:
12.)
Round to the nearest thousands place: 345,820 __________________
13.)
Round to the nearest hundred thousands place: 345,820 __________________
14.)
Round to the nearest tens place: 2,396 _________________
Estimating Whole Numbers:
 Estimation is used to create a problem that we can solve mentally. You should round to
the place value that is suggested. If you aren’t told what to round to, you should round
to the place value that allows you to solve the problem easily. You should never actually
solve the problem unless the directions tell you to do that. Remember: Estimation is
something that you should be able to use without a calculator or paper/pencil.
Practice problems:
15.)
I am planning to purchase a book for $12.95, a calculator for $29.95, and a pack
of pens for $5.75. About how much will my bill be when I check out? (Do not allow for
tax.) ___________________________
16.)
Round each number to the nearest hundred: 465 + 319 = ___________
17.)
Round each number to the nearest thousand: 3,932 – 2,103 = _____________
Adding and Subtracting Whole Numbers:
 If a problem is written horizontally, you should rewrite it vertically – lining up the
numbers beginning with the ones place.
 Be sure to regroup properly. In subtraction – be sure to visit your neighbors carefully!
 Sum – the answer to addition problems
 Addends – the numbers that you are adding in an addition problem
 Difference – the answer to subtraction problems
Practice problems:
18.)
4,524,983
+ 3,210,930
19.) 400,307
- 182,176
Problem Solving – Draw a Diagram was the focused strategy
Steps for problem solving:
 Step 1: Understand the problem – read the problem carefully to be sure you know what
information was given and what you need to figure out. You may highlight or underline
important information and the question.
 Step 2: Plan – Think about a strategy that you can use to solve the problem. You may
draw a diagram, extend a pattern, make a table, or think about tools we’ve used.
 Step 3: Solve – Follow through with your plan to come up with a solution. Be careful to
copy numbers accurately and do calculations carefully.
 Step 4: Look Back – Think about you answer to see that it makes sense. Be sure you have
labeled your answer.
Practice problem:
20.) Diane lives 12 blocks west of Gloria. Gloria lives 1 block north of Jessica. Jessica
lives 11 blocks east of Kim. How far is it from Kim’s house to Diane’s house?