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Math Topics
Math Fundamentals
Whole Numbers
1
Mini Lectures and Common Mistakes
Mini Lecture
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?
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.
\[\begin{aligned} 3,472&\\ \underline{-\quad511}&\end{aligned}\]
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.
\[\begin{aligned} 750&\\ 275&\\ \underline{+120}&\end{aligned}\]
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?
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. \(\,\,\,28\,\overline{)\,12,096}\) |
2
Place Value and Names for Numbers
3
Addition with Whole Numbers, and Perimeter
4
Subtraction with Whole Numbers
Subtract: \(80-46\)
