Answer:4.6 × 30= 138
5 × 40= 200
Step-by-step explanation:
You would either start at 0 and go over 235 then you would go over 123 more
Answer:
![\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%26%5Ctextbf%7B1%7D%5C%5C%20%5Ctimes%20%5C%3A%261%26%5Ctextbf%7B4%7D%5Cend%7Bmatrix%7D)
________
![\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B0%7D%268%264%5C%5C%20%2B%26%5Ctextbf%7B2%7D%261%260%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%269%264%5Cend%7Bmatrix%7D%7D)
Step-by-step explanation:
Given
![21\:\times \:14](https://tex.z-dn.net/?f=21%5C%3A%5Ctimes%20%5C%3A14)
Line up the numbers
![\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%262%261%5C%5C%20%5Ctimes%20%5C%3A%261%264%5Cend%7Bmatrix%7D)
Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)
Multiply the top number by the bolded digit of the bottom number
![\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%26%5Ctextbf%7B1%7D%5C%5C%20%5Ctimes%20%5C%3A%261%26%5Ctextbf%7B4%7D%5Cend%7Bmatrix%7D)
Multiply the bold numbers: 1×4=4
![\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%262%26%5Ctextbf%7B1%7D%5C%5C%20%5Ctimes%20%5C%3A%261%26%5Ctextbf%7B4%7D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%264%5Cend%7Bmatrix%7D%7D)
Multiply the bold numbers: 2×4=8
![\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%261%5C%5C%20%5Ctimes%20%5C%3A%261%26%5Ctextbf%7B4%7D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%268%264%5Cend%7Bmatrix%7D%7D)
Multiply the top number by the bolded digit of the bottom number
![\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%26%5Ctextbf%7B1%7D%5C%5C%20%5Ctimes%20%5C%3A%26%5Ctextbf%7B1%7D%264%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%268%264%5Cend%7Bmatrix%7D%7D)
Multiply the bold numbers: 1×1=1
![\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%262%26%5Ctextbf%7B1%7D%5C%5C%20%5Cspace%5Cspace%26%5Ctimes%20%5C%3A%26%5Ctextbf%7B1%7D%264%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%268%264%5C%5C%20%5Cspace%5Cspace%26%5Cspace%5Cspace%261%26%5Cspace%5Cspace%5Cend%7Bmatrix%7D%7D)
Multiply the bold numbers: 2×1=2
![\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%261%5C%5C%20%5Cspace%5Cspace%26%5Ctimes%20%5C%3A%26%5Ctextbf%7B1%7D%264%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%268%264%5C%5C%20%5Cspace%5Cspace%262%261%26%5Cspace%5Cspace%5Cend%7Bmatrix%7D%7D)
Add the rows to get the answer. For simplicity, fill in trailing zeros.
![\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%262%261%5C%5C%20%5Cspace%5Cspace%26%5Ctimes%20%5C%3A%261%264%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%260%268%264%5C%5C%20%5Cspace%5Cspace%262%261%260%5Cend%7Bmatrix%7D%7D)
adding portion
![\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%260%268%264%5C%5C%20%2B%262%261%260%5Cend%7Bmatrix%7D)
Add the digits of the right-most column: 4+0=4
![\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%260%268%26%5Ctextbf%7B4%7D%5C%5C%20%2B%262%261%26%5Ctextbf%7B0%7D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%26%5Cspace%5Cspace%26%5Ctextbf%7B4%7D%5Cend%7Bmatrix%7D%7D)
Add the digits of the right-most column: 8+1=9
![\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%260%26%5Ctextbf%7B8%7D%264%5C%5C%20%2B%262%26%5Ctextbf%7B1%7D%260%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Cspace%5Cspace%26%5Ctextbf%7B9%7D%264%5Cend%7Bmatrix%7D%7D)
Add the digits of the right-most column: 0+2=2
![\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B0%7D%268%264%5C%5C%20%2B%26%5Ctextbf%7B2%7D%261%260%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%269%264%5Cend%7Bmatrix%7D%7D)
Therefore,
![\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%26%5Ctextbf%7B1%7D%5C%5C%20%5Ctimes%20%5C%3A%261%26%5Ctextbf%7B4%7D%5Cend%7Bmatrix%7D)
________
![\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B0%7D%268%264%5C%5C%20%2B%26%5Ctextbf%7B2%7D%261%260%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%26%5Ctextbf%7B2%7D%269%264%5Cend%7Bmatrix%7D%7D)