Search Results
Math Topics
Math Fundamentals
Whole Numbers
1
Summary
2
Place Value and Names for Numbers
3
Addition with Whole Numbers, and Perimeter
Mimi Leacture: Part 1
Find each sum:
\((6+3)+7\)
\((2+1)+(6+3)\)
Rewrite using the commutative property: \(6+4\)
Rewrite using the associative property: \((1+2)+3\)
Solve:
\(n+8=13\)
\(17=n+9\)
Name the property used:
\(4+7=7+4\)
\((9+1)+3=9+(4+1)\)
\((4+1)+5=5+(4+1)\)
Mini Lecture: Part 2
Add:
\(9+1+8+2\)
\[\begin{aligned} 4,281&\\ \underline{+ 3,016}&\end{aligned}\]
\[\begin{aligned} 49&\\ \underline{+ 16}&\end{aligned}\]
\[\begin{aligned} 9,245&\\ 672&\\ 8,341&\\ \underline{+\qquad 27}&\end{aligned}\]
Indra spent \(\$126\) for books \(\$258\) for tuition, \(\$489\) for rent, and \(\$108\) for food. How much did she spend for tuition and books?
See video.
4
Subtraction with Whole Numbers
Mini Lecture
Subtract \(24\) from \(36\)
Find the difference of \(29\) and \(19\)
Subtract:
\[\begin{aligned} 9,876&\\ \underline{-8,765}&\end{aligned}\]
\[\begin{aligned} 52&\\ \underline{-37}&\end{aligned}\]
\(329-234\)
\[\begin{aligned} 79,040&\\ \underline{-32,957}&\end{aligned}\]
Estimate by rounding each to the nearest hundred.
\[\begin{aligned} 3,472&\\ \underline{-\quad511}&\end{aligned}\]
5
Rounding Numbers, Estimating Answers, and Displaying Information
The pie chart shows a family earning \(\$36,931\) a year spends their money.
To the nearest hundred dollars, what is the total amount spent on food and entertainment?
To the nearest thousand dollars, how much of their income is spent on items other than taxes and savings?
Mini Lecture
Round to the nearest ten.
\(458\)
\(471\)
Round to the nearest hundred.
\(833\)
\(899\)
Round to the nearest ten, hundred, and thousand.
\(7,821\)
\(5,999\)
Estimate by rounding each to the nearest hundred.
\[\begin{aligned} 750&\\ 275&\\ \underline{+120}&\end{aligned}\]
6
Multiplication with Whole Numbers, and Area
The table in the text lists the number of calories burned in \(1\) hour of exercise by a person who weighs \(150\) pounds. Suppose a \(150\)-pound person goes bowling for \(2\) hours after having eaten the bag of chips mentioned in Example 9. Will he or she burn all the calories consumed from the chips?
Mini Lecture: Part 1
Write in words: \(9\cdot 7=63\)
Write in symbols: The product of \(0\) and \(6\) is \(0\).
Identify product and factors: \(12=2\cdot2\cdot3\)
Rewrite using the commutative property: \(3\cdot n\)
Rewrite using the associative property: \(3\cdot(4\cdot n)\)
Solve:
\(9\cdot n=72\)
\(0=n\cdot 5\)
Multiply:
\(3\cdot 100\)
\(4\cdot 600,000\)
Mini Lecture: Part 2
Multiply:
\(9(42)\)
\[\begin{aligned} 19&\\ \underline{\times\, 50}&\end{aligned}\]
\(97(16)\)
\[\begin{aligned} 2,468&\\ \underline{\times\quad 135}&\end{aligned}\]
A family does on vacation. They figure it will take \(130\) gallons of gas. If each gallon will take them \(22\) miles, how long is the trip they’re planning?
7
Division with Whole Numbers
Mini Lecture
1. Write in symbols: The quotient of 20 and 4 is 5. \[\frac{20}{4} = 5\]
2. Write in words: \[\frac{48}{6} = 8\]
Divide:
| 3. \(\,\,\, 40 \div 5 \,\,\,\,\,\,\,\,\,\) | 4. \(\,\,\, 9 \div 0 \,\,\,\,\,\,\,\,\,\) | 5. \(\,\,\, 0 \div 9 \,\,\,\,\,\,\,\,\,\,\) |
| 6. \(\,\,\,\frac{138}{6} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\) | 7. \(\,\,\, 5\,\overline{)\,7,650} \,\,\,\,\,\,\,\,\,\) | 8. \(\,\,\,28\,\overline{)\,12,096}\) |
