Let's calculate the following sum:
410 + 352
We proceed using the standard algorithm.
First, we line up our numbers (ones over ones, and tens over tens):
\begin{array}{cccccccc}
& & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 1 \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 3 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & & &
\end{array}
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, we get
{\color{blue}0} + {\color{blue}2} = {\color{blue}2}{:}
\begin{array}{cccccccc}
& & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 1 \!\!\!\!& \!\!\!\! {\color{blue}0} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 3 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\!
\end{array}
Step 2. Adding the tens, we get
{\color{blue}1 } + {\color{blue}5} = {\color{blue}6}{:}
\begin{array}{cccccccc}
& & \!\!\!\! 4 \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 3 \!\!\!\! & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}6} \!\!\!\!& \!\!\!\! 2 \!\!\!\!
\end{array}
Step 3. Adding the hundreds, we get
{\color{blue}4} + {\color{blue}3} = {\color{blue}7}{:}
\begin{array}{cccccccc}
& & \!\!\!\! {\color{blue}4} \!\!\!\!& \!\!\!\! 1 \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}3} \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}7} \!\!\!\! & \!\!\!\! 6 \!\!\!\!& \!\!\!\! 2 \!\!\!\!
\end{array}
Therefore,
410 + 352 = 762.
There are
373
415
To find the total number of students, we need to calculate the value of
373+415.
First, we line up our numbers (ones over ones and tens over tens ):
\begin{array}{cccccccc}
& & \!\!\!\! 3 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 1 \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& & & &
\end{array}
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones,
{\color{blue}3} + {\color{blue}5} = {\color{blue}8}{:}
\begin{array}{cccccccc}
& & \!\!\!\! 3 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! {\color{blue}3} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 1 \!\!\!\!& \!\!\!\! {\color{blue}5} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}8} \!\!\!\!
\end{array}
Step 2. Adding the tens,
{\color{blue}7 } + {\color{blue}1} = {\color{blue}8}{:}
\begin{array}{cccccccc}
& & \!\!\!\! 3 \!\!\!\! & \!\!\!\! {\color{blue}7} \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 4 \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}8} \!\!\!\!& \!\!\!\! 8 \!\!\!\!
\end{array}
Step 3. Adding the hundreds,
{\color{blue}3} + {\color{blue}4} = {\color{blue}7}{:}
\begin{array}{cccccccc}
& & \!\!\!\! {\color{blue}3} \!\!\!\!& \!\!\!\! 7 \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}4} \!\!\!\! & \!\!\!\! 1 \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}7} \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! 8 \!\!\!\!
\end{array}
So,
373 + 415 = 788.
Therefore, there are a total of
788
a
$759$
b
$689$
c
$758$
d
$749$
e
$659$
First, we line up our numbers (ones over ones , tens over tens , hundreds over hundreds ):
\[
\begin{array}{cccccccc}
& & \!\!\!\! 5 \!\!\!\! & \!\!\!\! 0 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 5 \!\!\!\! & \!\!\!\! 2 \!\!\!\! \\
\hline
& & & & &
\end{array}
\]
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, ${\color{blue}7} + {\color{blue}2} = {\color{blue}9}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 0 \!\!\!\!& \!\!\!\! {\color{blue}7} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}9} \!\!\!\!
\end{array}
\]
Step 2. Adding the tens, ${\color{blue}0} + {\color{blue}5} = {\color{blue}5}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}0} \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\! & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 9 \!\!\!\!
\end{array}
\]
Step 3. Adding the hundreds, ${\color{blue}5} + {\color{blue}2} = {\color{blue}7}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 0 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}2} \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}7} \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 9 \!\!\!\!
\end{array}
\]
Therefore, $507+252 = 759.$
Ann drove $126$ kilometers in the morning and $172$ kilometers in the afternoon. What distance did she drive in total?
a
$198$ kilometers
b
$297$ kilometers
c
$288$ kilometers
d
$286$ kilometers
e
$298$ kilometers
To find the distance Ann drove, we need to calculate the value of
\[
126 + 172.
\]
First, we line up our numbers (ones over ones , tens over tens , hundreds over hundreds ):
\[
\begin{array}{cccccccc}
& & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 7 \!\!\!\! & \!\!\!\! 2 \!\!\!\! \\
\hline
& & & & &
\end{array}
\]
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, ${\color{blue}6} + {\color{blue}2} = {\color{blue}8}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! 1 \!\!\!\!& \!\!\!\! 2 \!\!\!\!& \!\!\!\! {\color{blue}6} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}8} \!\!\!\!
\end{array}
\]
Step 2. Adding the tens, ${\color{blue}2} + {\color{blue}7} = {\color{blue}9}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! 1 \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 1 \!\!\!\! & \!\!\!\! {\color{blue}7} \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}9} \!\!\!\!& \!\!\!\! 8 \!\!\!\!
\end{array}
\]
Step 3. Adding the hundreds, ${\color{blue}1} + {\color{blue}1} = {\color{blue}2}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! {\color{blue}1} \!\!\!\!& \!\!\!\! 2 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}2} \!\!\!\! & \!\!\!\! 9 \!\!\!\!& \!\!\!\! 8 \!\!\!\!
\end{array}
\]
So, $126 + 172 = 298.$
Therefore, Ann drove a total of $298$ kilometers.
Let's calculate the following sum:
128 + 249
First, we line up our numbers (ones over ones and tens over tens ):
\begin{array}{cccccccc}
& & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & & &
\end{array}
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, we get
{\color{blue}8} + {\color{blue}9} = {\color{red}1}{\color{blue}7}.
{\color{blue}7}
ones and carry
{\color{red}1}
tens :
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{red}1} \!\!\!\! & \\
& & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 2 \!\!\!\!& \!\!\!\! {\color{blue}8} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! {\color{blue}9} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}7} \!\!\!\!
\end{array}
Step 2. Adding the tens, we get
{\color{blue}1} + {\color{blue}2 } + {\color{blue}4} = {\color{blue}7}{:}
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{blue}1} \!\!\!\! & \\
& & \!\!\!\! 1 \!\!\!\! & \!\!\!\! {\color{blue}2} \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\! & \!\!\!\! {\color{blue}4} \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}7} \!\!\!\!& \!\!\!\! 7 \!\!\!\!
\end{array}
Step 3. Adding the hundreds, we get
{\color{blue}1} + {\color{blue}2} = {\color{blue}3}{:}
\begin{array}{cccccccc}
& & & \!\!\!\! 1 \!\!\!\! & \\
& & \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}2} \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}3} \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 7 \!\!\!\!
\end{array}
Therefore,
128 + 249 = 377.
First, we line up our numbers (ones over ones and tens over tens ):
\begin{array}{cccccccc}
& & \!\!\!\! 8 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 6 \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& & & &
\end{array}
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones,
{\color{blue}0} + {\color{blue}5} = {\color{blue}5}{:}
\begin{array}{cccccccc}
& & \!\!\!\! 8 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}0} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 6 \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! {\color{blue}5} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}5} \!\!\!\!
\end{array}
Step 2. Adding the tens,
{\color{blue}5} + {\color{blue}4} = {\color{blue}9}{:}
\begin{array}{cccccccc}
& & \!\!\!\! 8 \!\!\!\! & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 6 \!\!\!\! & \!\!\!\! {\color{blue}4} \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}9} \!\!\!\!& \!\!\!\! 5 \!\!\!\!
\end{array}
Step 3. Adding the hundreds,
{\color{blue}8} + {\color{blue}6} = {\color{red}1}{\color{blue}4}.
{\color{blue}4}
hundreds and carry
{\color{red}1}
thousands :
\begin{array}{cccccccc}
& \!\!\!\! {\color{red}1} \!\!\!\! & & & \\
& & \!\!\!\! {\color{blue}8} \!\!\!\!& \!\!\!\! 5 \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}6} \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}4} \!\!\!\! & \!\!\!\! 9 \!\!\!\!& \!\!\!\! 5 \!\!\!\!
\end{array}
Step 4. Adding the thousands,
{\color{blue}1} + {\color{blue}0} + {\color{blue}0} = {\color{blue}1}{:}
\begin{array}{cccccccc}
& \!\!\!\! {\color{blue}1} \!\!\!\! & & & \\
& \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! 5 \!\!\!\!& \!\!\!\! 0 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 6 \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\hline
& \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 9 \!\!\!\!& \!\!\!\! 5 \!\!\!\!
\end{array}
Therefore,
850 + 645 = 1,495.
a
$563$
b
$463$
c
$513$
d
$573$
e
$473$
First, we line up our numbers (ones over ones , tens over tens , hundreds over hundreds ):
\[
\begin{array}{cccccccc}
& & \!\!\!\! 3 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 1 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& & & & &
\end{array}
\]
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, ${\color{blue}7} + {\color{blue}6} = {\color{red}1}{\color{blue}3}.$ We write $\color{blue}3$ below the ones and carry $\color{red}1$ to the tens :
\[
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{red}1} \!\!\!\! & \\
& & \!\!\!\! 3 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}7} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 1 \!\!\!\!& \!\!\!\! {\color{blue}6} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}3} \!\!\!\!
\end{array}
\]
Step 2. Adding the tens, ${\color{blue}1} + {\color{blue}5} + {\color{blue}1} = {\color{blue}7}{:}$
\[
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{blue}1} \!\!\!\! & \\
& & \!\!\!\! 3 \!\!\!\! & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 2 \!\!\!\!& \!\!\!\! {\color{blue}1} \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}7} \!\!\!\!& \!\!\!\! 3 \!\!\!\!
\end{array}
\]
Step 3. Adding the hundreds, ${\color{blue}3} + {\color{blue}2} = {\color{blue}5}{:}$
\[
\begin{array}{cccccccc}
& & & \!\!\!\! 1 \!\!\!\! & \\
& & \!\!\!\! {\color{blue}3} \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}2} \!\!\!\!& \!\!\!\! 1 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 7 \!\!\!\!& \!\!\!\! 3 \!\!\!\!
\end{array}
\]
Therefore, $357+216 = 573.$
a
$1,385$
b
$985$
c
$1,475$
d
$495$
e
$1,485$
First, we line up our numbers (ones over ones , tens over tens , hundreds over hundreds ):
\[
\begin{array}{cccccccc}
& & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 5 \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 9 \!\!\!\! & \!\!\!\! 3 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & & & &
\end{array}
\]
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, ${\color{blue}3} + {\color{blue}2} = {\color{blue}5}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}3} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 9 \!\!\!\! & \!\!\!\! 3 \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}5} \!\!\!\!
\end{array}
\]
Step 2. Adding the tens, ${\color{blue}5} + {\color{blue}3} = {\color{blue}8}{:}$
\[
\begin{array}{cccccccc}
& & & & \\
& & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 9 \!\!\!\! & \!\!\!\! {\color{blue}3} \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}8} \!\!\!\!& \!\!\!\! 5 \!\!\!\!
\end{array}
\]
Step 3. Adding the hundreds, ${\color{blue}5}+{\color{blue}9}={\color{red}1}{\color{blue}4}{:}$ We write $\color{blue}4$ below the hundreds and carry $\color{red}1$ to the thousands :
\[
\begin{array}{cccccccc}
& \!\!\!\! {\color{red}1} \!\!\!\! & & & \\
& & \!\!\!\! {\color{blue}5} \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}9} \!\!\!\! & \!\!\!\! 3 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}4} \!\!\!\! & \!\!\!\! 8 \!\!\!\! & \!\!\!\! 5 \!\!\!\!
\end{array}
\]
Step 4. Adding the thousands, ${\color{blue}1} + {\color{blue}0} + {\color{blue}0} = {\color{blue}1}{:}$
\[
\begin{array}{cccccccc}
& \!\!\!\! {\color{blue}1} \!\!\!\! & & & \\
& \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 5 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 3 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 9 \!\!\!\! & \!\!\!\! 3 \!\!\!\!& \!\!\!\! 2 \!\!\!\! \\
\hline
& \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 8 \!\!\!\! & \!\!\!\! 5 \!\!\!\!
\end{array}
\]
Therefore, $553+932 = 1,485.$
First, we line up our numbers (ones over ones and tens over tens ):
\begin{array}{cccccccc}
& & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 7 \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & & &
\end{array}
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones,
{\color{blue}7} + {\color{blue}9} = {\color{red}1}{\color{blue}6}.
{\color{blue}6}
ones and carry
{\color{red}1}
tens :
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{red}1} \!\!\!\! & \\
& & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! {\color{blue}7} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 7 \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! {\color{blue}9} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}6} \!\!\!\!
\end{array}
Step 2. Adding the tens,
{\color{blue}1} + {\color{blue}5 } + {\color{blue}8} = {\color{red}1}{\color{blue}4}.
{\color{blue}4}
tens and carry
{\color{red}1}
hundreds :
\begin{array}{cccccccc}
& & \!\!\!\! {\color{red}1} \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\! & \\
& & \!\!\!\! 4 \!\!\!\! & \!\!\!\! {\color{blue}5} \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 7 \!\!\!\! & \!\!\!\! {\color{blue}8} \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}4} \!\!\!\!& \!\!\!\! 6 \!\!\!\!
\end{array}
Step 3. Adding the hundreds,
{\color{blue}1} + {\color{blue}4} + {\color{blue}7} = {\color{red}1}{\color{blue}2}.
{\color{blue}2}
hundreds and carry
{\color{red}1}
thousands :
\begin{array}{cccccccc}
& \!\!\!\! {\color{red}1} \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 1 \!\!\!\! & \\
& & \!\!\!\! {\color{blue}4} \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}7} \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}2} \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 6 \!\!\!\!
\end{array}
Step 4. Adding the thousands,
{\color{blue}1}+{\color{blue}0}+{\color{blue}0}={\color{blue}1}{:}
\begin{array}{cccccccc}
& \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 1 \!\!\!\! & \\
& \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 5 \!\!\!\!& \!\!\!\! 7 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 7 \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 4 \!\!\!\!& \!\!\!\! 6 \!\!\!\!
\end{array}
Therefore,
457 + 789 = 1,246.
a
$554$
b
$654$
c
$664$
d
$614$
e
$564$
First, we line up our numbers (ones over ones , tens over tens , hundreds over hundreds ):
\[
\begin{array}{cccccccc}
& & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 7 \!\!\!\! & \!\!\!\! 5 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 3 \!\!\!\!& \!\!\!\! 8 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & & & &
\end{array}
\]
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, ${\color{blue}5} + {\color{blue}9} = {\color{red}1}{\color{blue}4}.$ We write $\color{blue}4$ below the ones and carry $\color{red}1$ to the tens :
\[
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{red}1} \!\!\!\! & \\
& & \!\!\!\! 2 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! {\color{blue}5} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 3 \!\!\!\!& \!\!\!\! 8 \!\!\!\!& \!\!\!\! {\color{blue}9} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}4} \!\!\!\!
\end{array}
\]
Step 2. Adding the tens, ${\color{blue}1} + {\color{blue}7} + {\color{blue}8} = {\color{red}1}{\color{blue}6}.$ We write $\color{blue}6$ below the tens and carry $\color{red}1$ to the hundreds :
\[
\begin{array}{cccccccc}
& & \!\!\!\! {\color{red}1} \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\!& \\
& & \!\!\!\! 2 \!\!\!\! & \!\!\!\! {\color{blue}7} \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 3 \!\!\!\!& \!\!\!\! {\color{blue}8} \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}6} \!\!\!\!& \!\!\!\! 4 \!\!\!\!
\end{array}
\]
Step 3. Adding the hundreds, ${\color{blue}1}+{\color{blue}2}+{\color{blue}3}={\color{blue}6}{:}$
\[
\begin{array}{cccccccc}
& & \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 1 \!\!\!\!& \\
& & \!\!\!\! {\color{blue}2} \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 5 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}3} \!\!\!\! & \!\!\!\! 8 \!\!\!\!& \!\!\!\! 9 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}6} \!\!\!\! & \!\!\!\! 6 \!\!\!\! & \!\!\!\! 4 \!\!\!\!
\end{array}
\]
Therefore, $275+389 = 664.$
a
$1,304$
b
$1,394$
c
$1,294$
d
$1,314$
e
$1,404$
First, we line up our numbers (ones over ones , tens over tens , hundreds over hundreds ):
\[
\begin{array}{cccccccc}
& & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 2 \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 9 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& & & & &
\end{array}
\]
Next, we proceed by adding the numbers in each place value (from right to left):
Step 1. Adding the ones, ${\color{blue}8} + {\color{blue}6} = {\color{red}1}{\color{blue}4}.$ We write $\color{blue}4$ below the ones and carry $\color{red}1$ to the tens :
\[
\begin{array}{cccccccc}
& & & \!\!\!\! {\color{red}1} \!\!\!\! & \\
& & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 2 \!\!\!\!& \!\!\!\! {\color{blue}8} \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 6 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! {\color{blue}6} \!\!\!\! \\
\hline
& & & \!\!\!\! \!\!\!\!& \!\!\!\! {\color{blue}4} \!\!\!\!
\end{array}
\]
Step 2. Adding the tens, ${\color{blue}1} + {\color{blue}2} + {\color{blue}7} = {\color{red}1}{\color{blue}0}.$ We write $\color{blue}0$ below the tens and carry $\color{red}1$ to the hundreds :
\[
\begin{array}{cccccccc}
& & \!\!\!\! {\color{red}1} \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\!& \\
& & \!\!\!\! 7 \!\!\!\!& \!\!\!\! {\color{blue}2} \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! 6 \!\!\!\! & \!\!\!\! {\color{blue}7} \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& & & \!\!\!\! {\color{blue}0} \!\!\!\!& \!\!\!\! 4 \!\!\!\!
\end{array}
\]
Step 3. Adding the hundreds, ${\color{blue}1}+{\color{blue}7}+{\color{blue}6}={\color{red}1}{\color{blue}4}.$ We write $\color{blue}4$ below the hundreds and carry $\color{red}1$ to the thousands :
\[
\begin{array}{cccccccc}
& \!\!\!\! {\color{red}1} \!\!\!\! & \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 1 \!\!\!\! & \\
& & \!\!\!\! {\color{blue}7} \!\!\!\! & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & & \!\!\!\! {\color{blue}6} \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& & \!\!\!\! {\color{blue}4} \!\!\!\! & \!\!\!\! 0 \!\!\!\! & \!\!\!\! 4 \!\!\!\!
\end{array}
\]
Step 4. Adding the thousands, ${\color{blue}1}+{\color{blue}0}+{\color{blue}0}={\color{blue}1}{:}$
\[
\begin{array}{cccccccc}
& \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 1 \!\!\!\! & \!\!\!\! 1 \!\!\!\! & \\
& \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 7 \!\!\!\! & \!\!\!\! 2 \!\!\!\!& \!\!\!\! 8 \!\!\!\! \\
\!\!\!\!+\!\!\!\! & \!\!\!\! {\color{blue}0} \!\!\!\! & \!\!\!\! 6 \!\!\!\! & \!\!\!\! 7 \!\!\!\!& \!\!\!\! 6 \!\!\!\! \\
\hline
& \!\!\!\! {\color{blue}1} \!\!\!\! & \!\!\!\! 4 \!\!\!\! & \!\!\!\! 0 \!\!\!\! & \!\!\!\! 4 \!\!\!\!
\end{array}
\]
Therefore, $728+676 = 1,404.$
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