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Math Fundamentals
Whole Numbers

1
Place Value and Names for Numbers

Problem  1
practice icon

Give the place value of each digit in \(305\text{,}964\).

Choose instructor to watch:
Molly S. cc
Molly S.
CJ cc
CJ
Anthony cc espanol spanish
Anthony
Problem  2
practice icon

Give the place value of each digit in \(73\text{,}890\text{,}672\text{,}540\)

Choose instructor to watch:
Lauren cc
Lauren
CJ cc
CJ
Cynthia cc espanol spanish
Cynthia
Problem  3
practice icon

Write \(5,478\) in expanded form.

Choose instructor to watch:
Lauren cc
Lauren
CJ cc
CJ
Anthony cc espanol spanish
Anthony
Problem  4
practice icon

Write \(56,094\) in expanded form.

Choose instructor to watch:
Molly S. cc
Molly S.
Arielle cc
Arielle
Anthony cc espanol spanish
Anthony
Problem  5
practice icon

Write \(10,000+7,000+500+60+9\) in condensed (standard) form.

Choose instructor to watch:
Sirena cc
Sirena
Joshua cc
Joshua
Cynthia espanol spanish
Cynthia
Problem  6
practice icon

Write \(5,000,000+70,000+600+3\) in condensed (standard) form.

Choose instructor to watch:
Sirena cc
Sirena
Joshua cc
Joshua
Cynthia espanol spanish
Cynthia
Problem  7
practice icon

Write each number in words.

  1. \(452\)

  2. \(397\)

  3. \(608\)

Choose instructor to watch:
Winston cc
Winston
Rachel cc
Rachel
Logan cc
Logan
Anthony cc espanol spanish
Anthony
Problem  8
practice icon

Write each number in words.

  1. \(3,561\)

  2. \(53,662\)

  3. \(547,801\)

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
Problem  9
practice icon

Write each number in words

  1. \(507,034,005\)

  2. \(739,600,075\)

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

Choose instructor to watch:
Winston cc
Winston
Rachel cc
Rachel
Nathan cc
Nathan
Anthony cc espanol spanish
Anthony
Problem  10
practice icon

Write five thousand, six hundred forty two, in digits.

Choose instructor to watch:
Winston cc
Winston
Rachel cc
Rachel
Nathan cc
Nathan
Cynthia cc espanol spanish
Cynthia
Problem  11
practice icon

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

Choose instructor to watch:
Lauren cc
Lauren
Molly S. cc
Molly S.
Anthony cc espanol spanish
Anthony

2
Addition with Whole Numbers, and Perimeter

Problem  1
practice icon

Add: \(43+52\)

Choose instructor to watch:
Molly S. cc
Molly S.
Aaron cc
Aaron
David cc espanol spanish
David
Problem  2
practice icon

Add: \(165+801\)

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  3
practice icon

Add \(197+213+324\)

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David cc espanol spanish
David
Problem  4
practice icon

Add: \(46,789+2,490+864\)

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  5
practice icon

Use the commutative property to rewrite each sum.

  1. \(4+6\)

  2. \(5+9\)

  3. \(3+0\)

  4. \(7+n\)

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David espanol spanish
David
Problem  6
practice icon

Use the associative property to rewrite each sum.

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

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

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

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

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  7
practice icon

Add: \(9+3+2+7+1\)

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David cc espanol spanish
David
Problem  8
practice icon

Find the solution to each equation by inspection.

  1. \(n+5=9\)

  2. \(n+6=12\)

  3. \(4+n=5\)

  4. \(13=n+8\)

Choose instructor to watch:
Winston cc
Winston
Betsy cc
Betsy
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  9
practice icon

Find the perimeter of each geometric figure.

Choose instructor to watch:
Julieta cc
Julieta
Logan cc
Logan
David cc espanol spanish
David

3
Subtraction with Whole Numbers

Problem  1
practice icon

Subtract: \(376-241\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
David cc espanol spanish
David
Problem  2
practice icon

Subtract \(503\) from \(7,835\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  3
practice icon

Subtract: \(92-45\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
David cc espanol spanish
David
Problem  4
practice icon

Find the difference of \(549\) and \(187\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Cynthia cc espanol spanish
Cynthia
Problem  5
practice icon

Find the solution to each equation by inspection.

  1. \(n-3=7\)

  2. \(n-4=9\)

  3. \(12-n=5\)

  4. \(7=18-n\)

Choose instructor to watch:
Stephanie cc
Stephanie
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  6
Choose instructor to watch:
Lauren D.
Lauren D.
Gordon
Gordon

4
Rounding Numbers, Estimating Answers, and Displaying Information

Problem  1
practice icon

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

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  2
practice icon

Round \(94\) to the nearest ten.

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
David cc espanol spanish
David
Problem  3
practice icon

Round \(973\) to the nearest hundred.

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  4
practice icon

Round \(47,256,344\) to the nearest million.

Choose instructor to watch:
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.

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

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
David cc espanol spanish
David
Problem  6
practice icon

Estimate the answer to the following subtraction problem by rounding each number to the nearest hundred. \[5,423-1,856\]

Choose instructor to watch:
Sirena cc
Sirena
Joshua cc
Joshua
Cynthia espanol spanish
Cynthia
Problem  7

Refer to the bar chart shown. How many milligrams of caffeine are consumed in one serving of instant coffee?

image

Choose instructor to watch:
Molly S. cc
Molly S.
Logan cc
Logan
Cynthia espanol spanish
Cynthia

5
Multiplication with Whole Numbers, and Area

Problem  1
practice icon

Multiply \(4\cdot 400\) using repeated addition.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Joshua cc
Joshua
Sirena cc
Sirena
Cynthia espanol spanish
Cynthia
Problem  2
practice icon

Identify the products and factors: \(9\cdot 8=72\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
Cynthia espanol spanish
Cynthia
Problem  3
practice icon

Identify the products and factors: \(30=2\cdot 3\cdot 5\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
David cc espanol spanish
David
Problem  4
practice icon

Use the commutative property of multiplication to rewrite each of the following products.

  1. \(7 \cdot 9\)

  2. \(4(6)\)

Choose instructor to watch:
Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  5
practice icon

Use the associative property of multiplication to rewrite each of the following products.

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

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

Choose instructor to watch:
Lauren cc
Lauren
Aaron cc
Aaron
David cc espanol spanish
David
Problem  6
practice icon

Multiply: \(9(43)\)

Choose instructor to watch:
Rachel cc
Rachel
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  7
practice icon

Multiply: \(52(37)\)

Choose instructor to watch:
Rachel cc
Rachel
Aaron cc
Aaron
David cc espanol spanish
David
Problem  8
practice icon

Multiply: \(279(428)\)

Choose instructor to watch:
Rachel cc
Rachel
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  9
practice icon

A supermarket orders \(35\) cases of a certain soft drink. If each case contains \(12\) cans of the drink, how many cans were ordered?

Choose instructor to watch:
Rachel cc
Rachel
Aaron cc
Aaron
David cc espanol spanish
David
Problem  10

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?

Choose instructor to watch:
Rachel cc
Rachel
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  11
practice icon

Find the total area of the house and deck shown in the figure below.

Choose instructor to watch:
Julieta cc
Julieta
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  12
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. \(21=3\cdot n\)

Choose instructor to watch:
Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia

6
Division with Whole Numbers

Problem  1
practice icon

Divide \(595 \div 7\)

Choose instructor to watch:
Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  2
practice icon

Divide \(9,380 \div 35\)

Choose instructor to watch:
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  3
practice icon

Divide \(1,872 \div 18\)

Choose instructor to watch:
Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  4
practice icon

Divide \(1,690 \div 67\)

Choose instructor to watch:
Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  5
practice icon

In 1990, a family has an annual income of \(\$35,880\). How much is their average monthly income?

Choose instructor to watch:
Lauren cc
Lauren
Aaron cc
Aaron
David cc espanol spanish
David

7
Exponents and Order of Operations

Problem  1
practice icon

Name the base and the exponent:

  1. \(3^2\)

  2. \(3^3\)

  3. \(2^4\)

Choose instructor to watch:
Lauren cc
Lauren
Matt cc
Matt
David cc espanol spanish
David
Problem  2
practice icon

Expand and multiply:

  1. \(3^2\)

  2. \(4^2\)

  3. \(3^3\)

  4. \(2^4\)

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  3
practice icon

Simplify:

  1. \(5^1\)

  2. \(9^1\)

  3. \(4^0\)

  4. \(8^0\)

Choose instructor to watch:
Rachel cc
Rachel
Matt cc
Matt
David cc espanol spanish
David
Problem  4
practice icon

Simplify: \(4\cdot 8-2\cdot 6\)

Choose instructor to watch:
Lauren cc
Lauren
Matt cc
Matt
Cynthia cc espanol spanish
Cynthia
Problem  5
practice icon

Simplify: \(5+2(7-1)\)

Choose instructor to watch:
Katrina cc
Katrina
Matt cc
Matt
David cc espanol spanish
David
Problem  6
practice icon

Simplify: \(9\cdot 2^3+36\div 3^2-8\)

Choose instructor to watch:
Stephanie cc
Stephanie
Matt cc
Matt
Cynthia cc espanol spanish
Cynthia
Problem  7
practice icon

Simplify: \(3+2[10-3(5-2)]\)

Choose instructor to watch:
Lauren cc
Lauren
Matt cc
Matt
David cc espanol spanish
David

8
Summary

Problem  1
practice icon

Give the place value of each digit in \(305\text{,}964\).

Choose instructor to watch:
Molly S. cc
Molly S.
CJ cc
CJ
Anthony cc espanol spanish
Anthony
Problem  2
practice icon

Write \(56,094\) in expanded form.

Choose instructor to watch:
Molly S. cc
Molly S.
Arielle cc
Arielle
Anthony cc espanol spanish
Anthony
Problem  3
practice icon

Write each number in words.

  1. \(3,561\)

  2. \(53,662\)

  3. \(547,801\)

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
Problem  4
practice icon

Add \(197+213+324\)

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
David cc espanol spanish
David
Problem  5
practice icon

Use the associative property to rewrite each sum.

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

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

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

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

Choose instructor to watch:
Molly S. cc
Molly S.
Winston cc
Winston
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  6
practice icon

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

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
Cynthia cc espanol spanish
Cynthia
Problem  7
practice icon

Round \(47,256,344\) to the nearest million.

Choose instructor to watch:
Rachel cc
Rachel
Logan cc
Logan
David cc espanol spanish
David
Problem  8
practice icon

Subtract: \(92-45\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Logan cc
Logan
David cc espanol spanish
David
Problem  9
practice icon

Find the difference of \(549\) and \(187\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Cynthia cc espanol spanish
Cynthia
Problem  10
practice icon

Multiply: \(52(37)\)

Choose instructor to watch:
Rachel cc
Rachel
Aaron cc
Aaron
David cc espanol spanish
David
Problem  11
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. \(21=3\cdot n\)

Choose instructor to watch:
Lauren cc
Lauren
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  12
practice icon

Divide \(9,380 \div 35\)

Choose instructor to watch:
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  13
practice icon

Expand and multiply:

  1. \(3^2\)

  2. \(4^2\)

  3. \(3^3\)

  4. \(2^4\)

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  14
practice icon

Simplify:

  1. \(5^1\)

  2. \(9^1\)

  3. \(4^0\)

  4. \(8^0\)

Choose instructor to watch:
Rachel cc
Rachel
Matt cc
Matt
David cc espanol spanish
David
Problem  15
practice icon

Simplify: \(5+2(7-1)\)

Choose instructor to watch:
Katrina cc
Katrina
Matt cc
Matt
David cc espanol spanish
David