1: Whole Number Review
- Page ID
- 229526
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)The sections in this module will help you to review whole numbers. Your goal is to demonstrate mastery on each of the following objectives.
- Objective 1.1 - Place Value: Identify digits in a given place value position and identify the place value of given digits for whole numbers and use this knowledge to write the names of numbers.
- Objective 1.2 - Add Whole Numbers: Calculate the sum of single digit and multiple digit whole number addition problems, including applications, without the use of a calculator.
- Objective 1.3 - Subtract Whole Numbers: Calculate the difference of single digit and multiple digit whole number subtraction problems, including applications, without the use of a calculator.
- Objective 1.4 - Multiply Whole Numbers: Calculate the product of single digit and multiple digit whole number multiplication problems, including applications, using various notations without the use of a calculator.
- Objective 1.5 - Divide Whole Numbers: Calculate the quotient of single digit and multiple digit whole number division problems, including applications, using various notations without the use of a calculator.
- 1.1: Introduction to Whole Numbers
- The process of approximating a number is called rounding. Numbers are rounded to a specific place value depending on how much accuracy is needed. The place value to which we round to depends on how we need to use the number.
- 1.2: Add Whole Numbers
- The identity property of addition describes how the sum of any number a and 0 is the number a. The commutative property says that changing the order of the addends a and b does not change their sum. To add whole numbers, we first write the numbers so each place value lines up vertically. Then, we add the digits in each place value, working from left to right starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.
- 1.3: Subtract Whole Numbers
- To subtract whole numbers, we first write the numbers so each place value lines up vertically. Then, we subtract the digits in each place value, working from left to right starting with the ones place. If the digit on top is less than the digit below, borrow as needed. In the end, we check our answer by adding the difference of the two numbers to one of the two numbers to see if we get the other number.
- 1.4: Multiply Whole Numbers
- To multiply two whole numbers, first write the numbers so each place value lines up vertically. Then, start with the ones place in the bottom number and multiply the bottom number by the ones digit in the top number, then by the tens digit, and so on. Next, write the partial products, lining up the digits in the place values with the numbers above. Insert a zero as a placeholder with each additional partial product. Finally, add the partial products.
- 1.5: Divide Whole Numbers
- To divide whole numbers, divide the first digit of the dividend by the divisor. If the divisor is larger than the first digit of the dividend, divide the first two digits of the dividend by the divisor, and so on. Write the quotient above the dividend. Multiply the quotient by the divisor and write the product under the dividend. Subtract that product from the dividend. Bring down the next digit of the dividend. Repeat the process until there are no more digits in the dividend to bring down.