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Math Fundamentals
Whole Numbers

1
Place Value and Names for Numbers

Study Skill

Common Mistake
Many people, including some of our instructors, use the word "and" incorrectly when we are naming numbers. Are you one of them?

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Mr. McKeague cc
Mr. McKeague
Problem  2
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Give the place value of each digit in \(305\text{,}964\).

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Molly S. cc
Molly S.
CJ cc
CJ
Anthony cc espanol spanish
Anthony
Problem  3
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Give the place value of each digit in \(73\text{,}890\text{,}672\text{,}540\)

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Lauren cc
Lauren
CJ cc
CJ
Cynthia cc espanol spanish
Cynthia
Problem  4
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Write \(5,478\) in expanded form.

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Lauren cc
Lauren
CJ cc
CJ
Anthony cc espanol spanish
Anthony
Problem  5
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Write \(354,798\) in expanded form.

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Arielle cc
Arielle
Lauren cc
Lauren
CJ cc
CJ
Problem  6
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Write \(56,094\) in expanded form.

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Molly S. cc
Molly S.
Arielle cc
Arielle
Anthony cc espanol spanish
Anthony
Problem  7
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Write \(5,070,603\) in expanded form.

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Julieta cc
Julieta
Cynthia espanol spanish
Cynthia
Problem  8
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Write each number in words.

  1. \(452\)

  2. \(397\)

  3. \(608\)

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Winston cc
Winston
Rachel cc
Rachel
Logan cc
Logan
Anthony cc espanol spanish
Anthony
Problem  9
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Write each number in words.

  1. \(3,561\)

  2. \(53,662\)

  3. \(547,801\)

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Rachel cc
Rachel
Logan cc
Logan
Problem  10
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Write each number in words

  1. \(507,034,005\)

  2. \(739,600,075\)

  3. \(5,003,007,006\)

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Winston cc
Winston
Rachel cc
Rachel
Nathan cc
Nathan
Anthony cc espanol spanish
Anthony
Problem  11
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Write five thousand, six hundred forty two, in digits.

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Winston cc
Winston
Rachel cc
Rachel
Nathan cc
Nathan
Cynthia cc espanol spanish
Cynthia
Problem  12
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Write each number with digits instead of words.

  1. Three million, fifty-one thousand, seven hundred

  2. Two billion, five

  3. Seven million, seven hundred seven

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Lauren cc
Lauren
Molly S. cc
Molly S.
Anthony cc espanol spanish
Anthony

2
Addition with Whole Numbers, and Perimeter

Problem  1
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Add: \(43+52\)

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Dr. Cavanah cc
Dr. Cavanah
Molly S. cc
Molly S.
Aaron cc
Aaron
David cc espanol spanish
David
Problem  2
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Add: \(165+801\)

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Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  3
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Add \(197+213+324\)

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Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David cc espanol spanish
David
Problem  4
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Add: \(46,789+2,490+864\)

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Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  5
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Use the commutative property to rewrite each sum.

  1. \(4+6\)

  2. \(5+9\)

  3. \(3+0\)

  4. \(7+n\)

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Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David espanol spanish
David
Problem  6
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Use the associative property to rewrite each sum.

  1. \((5+6)+7\)

  2. \((3+9)+1\)

  3. \(6+(8+2)\)

  4. \(4+(9+n)\)

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Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  7
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Add: \(9+3+2+7+1\)

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Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David cc espanol spanish
David
Problem  8
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Find the solution to each equation by inspection.

  1. \(n+5=9\)

  2. \(n+6=12\)

  3. \(4+n=5\)

  4. \(13=n+8\)

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Winston cc
Winston
Betsy cc
Betsy
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia

3
Rounding Numbers, Estimating Answers, and Displaying Information

Problem  1
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Round \(5,382\) to the nearest hundred.

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Rachel cc
Rachel
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  2
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Round \(94\) to the nearest ten.

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Rachel cc
Rachel
Logan cc
Logan
David cc espanol spanish
David
Problem  3
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Round \(973\) to the nearest hundred.

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Rachel cc
Rachel
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  4
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Round \(47,256,344\) to the nearest million.

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Rachel cc
Rachel
Logan cc
Logan
David cc espanol spanish
David
Problem  5
practice icon

Estimate the answer to the following problem by rounding each number to the nearest thousand.

\[\begin{aligned} 4,872 &\\ 1,691 &\\ 777 &\\ \underline{+6,124}\end{aligned}\]

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Rachel cc
Rachel
Logan cc
Logan
David cc espanol spanish
David

4
Subtraction with Whole Numbers

Problem  1
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Subtract: \(376-241\)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
David cc espanol spanish
David
Problem  2
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Subtract \(503\) from \(7,835\)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  3
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Subtract: \(92-45\)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
David cc espanol spanish
David
Problem  4
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Lauren D.
Lauren D.
Gordon
Gordon
Problem  5
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Find the difference of \(549\) and \(187\)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Cynthia cc espanol spanish
Cynthia
Problem  6
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Lauren D.
Lauren D.
Gordon
Gordon
Problem  7
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Jo Ann has \(\$742\) in her checking account. If she writes a check for \(\$615\) to pay the rent, how much is left in her checking account?

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Katrina cc
Katrina
Logan cc
Logan
David cc espanol spanish
David

5
Multiplication with Whole Numbers, and Area

Problem  1
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Multiply: \(3\cdot 4,000\)

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Aaron cc
Aaron
David espanol spanish
David
Problem  2
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Identify the products and factors: \(9\cdot 8=72\)

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Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
Cynthia espanol spanish
Cynthia
Problem  3
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Identify the products and factors: \(30=2\cdot 3\cdot 5\)

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Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
David cc espanol spanish
David
Problem  4
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Multiply: \(9(43)\)

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Rachel cc
Rachel
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  5
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Lauren D.
Lauren D.
Gordon
Gordon
Problem  6
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Multiply: \(52(37)\)

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Rachel cc
Rachel
Aaron cc
Aaron
David cc espanol spanish
David
Problem  7
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Lauren D.
Lauren D.
Gordon
Gordon
Problem  8
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Multiply: \(279(428)\)

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Rachel cc
Rachel
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  9
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Lauren D.
Lauren D.
Ryan
Ryan
Problem  10
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A supermarket orders \(35\) cases of a certain soft drink. If each case contains \(12\) cans of the drink, how many cans were ordered?

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Rachel cc
Rachel
Aaron cc
Aaron
David cc espanol spanish
David
Problem  11

Shirley earns \(\$12\) an hour for the first \(40\) hours she works each week. If she has \(\$109\) deducted from her weekly check for takes and retirement, how much money will she take home if she works \(38\) hours this week?

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Rachel cc
Rachel
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  12
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Use the commutative property of multiplication to rewrite each of the following products.

  1. \(7 \cdot 9\)

  2. \(4(6)\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  13
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Use the associative property of multiplication to rewrite each of the following products.

  1. \((2 \cdot 7)\cdot 9\)

  2. \(3 \cdot (8 \cdot 2)\)

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Lauren cc
Lauren
Aaron cc
Aaron
David cc espanol spanish
David
Problem  14
practice icon

Find the solution to each of the following equations:

  1. \(6 \cdot n =24\)

  2. \(4\cdot n =36\)

  3. \(15=3\cdot n\)

  4. \(21=3\cdot n\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia

6
Division with Whole Numbers

Problem  1
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Divide \(595 \div 7\)

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Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  2
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Lauren D.
Lauren D.
Ryan
Ryan
Problem  3
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Divide \(9,380 \div 35\)

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Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  4
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Divide \(1,872 \div 18\)

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Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  5
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Divide \(1,690 \div 67\)

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Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  6
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A family has an annual income of \(\$35,880\). How much is their average monthly income?

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Lauren cc
Lauren
Aaron cc
Aaron
David cc espanol spanish
David

7
Exponents and Order of Operations

Problem  1
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Name the base and the exponent:

  1. \(3^2\)

  2. \(3^3\)

  3. \(2^4\)

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Lauren cc
Lauren
Matt cc
Matt
David cc espanol spanish
David
Problem  2
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Expand and multiply:

  1. \(3^2\)

  2. \(4^2\)

  3. \(3^3\)

  4. \(2^4\)

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Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  3
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Simplify:

  1. \(5^1\)

  2. \(9^1\)

  3. \(4^0\)

  4. \(8^0\)

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Rachel cc
Rachel
Matt cc
Matt
David cc espanol spanish
David
Problem  4
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Simplify: \(4\cdot 8-2\cdot 6\)

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Lauren cc
Lauren
Matt cc
Matt
Cynthia cc espanol spanish
Cynthia
Problem  5
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Simplify: \(5+2(7-1)\)

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Katrina cc
Katrina
Matt cc
Matt
David cc espanol spanish
David
Problem  6
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Simplify: \(9\cdot 2^3+36\div 3^2-8\)

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Stephanie cc
Stephanie
Matt cc
Matt
Cynthia cc espanol spanish
Cynthia
Problem  7
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Simplify: \(3+2[10-3(5-2)]\)

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Lauren cc
Lauren
Matt cc
Matt
David cc espanol spanish
David
Problem  8

Translate the phrase, "5 is added to 3 times the difference of 11 and 7," into a mathematical expression, then simplify.

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Katherine cc
Katherine
Logan cc
Logan
Octabio espanol spanish
Octabio
Mini Lecture

Mini Lecture
Simplify.

  1. \(2^4\)

  2. \(5^3\)

  3. \(10^1\)

  4. \(10^0\)

  5. \(3+5\cdot8\)

  6. \(8\cdot10^2-6\cdot4^3\)

  7. \(8\cdot2^4+25\div5-3^2\)

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Mr. McKeague cc
Mr. McKeague