We can extend our understanding of place value to multiply three-digit numbers by one-digit numbers.
As an example, let's consider the following multiplication problem:
First, let's write the three-digit number in expanded form:
We now multiply all numbers in our expanded form by
Let's now add these results:
Therefore,
Mary wishes to find the value of She proceeds as follows:
Find the missing numbers, and use your answers to find the value of
Notice that in expanded form is So, we can compute by filling in the missing numbers and adding the results.
First, let's find the missing values:
Let's now add these results:
Therefore,
Yeliz wishes to find the value of $6\times354.$ She proceeds as follows:
\begin{align*} 6\times 300 &= \fbox{$\phantom{0000}$}\\[5pt] 6\times 50 &= \fbox{$\phantom{000}$}\\[5pt] 6\times 4 &= \fbox{$\phantom{00}$}\\[5pt] \end{align*}
Find the missing numbers, and use your answers to find the value of $6\times354.$
a
|
$1,768$ |
b
|
$2,124$ |
c
|
$1,124$ |
d
|
$2,118$ |
e
|
$2,354$ |
Ali wishes to find the value of $875\times9.$ He proceeds as follows:
\begin{align*} 800\times 9 &= \fbox{$\phantom{0000}$}\\[5pt] 70\times 9 &= \fbox{$\phantom{000}$}\\[5pt] 5\times 9 &= \fbox{$\phantom{00}$}\\[5pt] \end{align*}
Find the missing numbers, and use your answers to find the value of $875\times9.$
a
|
$7,875$ |
b
|
$7,265$ |
c
|
$7,945$ |
d
|
$7,925$ |
e
|
$7,245$ |
What is the value of
First, let's write the three-digit number in expanded form:
We now multiply all numbers in our expanded form by
Let's now add these results:
Therefore,
$4 \times 217 =$
a
|
$918$ |
b
|
$868$ |
c
|
$928$ |
d
|
$828$ |
e
|
$842$ |
$628 \times 7 =$
a
|
$496$ |
b
|
$4,396$ |
c
|
$1,456$ |
d
|
$4,456$ |
e
|
$4,256$ |
An adhesive tape has a length of feet. What is the total length of adhesive tapes?
To figure out the total length of tapes, we need to compute the value of
First, let's write the three-digit number in expanded form:
We now multiply all numbers in our expanded form by
Let's now add these results:
Therefore, six tapes cover feet.
Ross has $3$ packs of candy, each containing $239$ jelly beans. How many jelly beans does Ross have in total?
a
|
$749$ |
b
|
$827$ |
c
|
$697$ |
d
|
$727$ |
e
|
$717$ |
During a particular hour, nine trains departed from a train station. If each train was carrying $987$ tons of grain, how many tons of grain were transported from the station during that hour?
a
|
$8,883$ |
b
|
$8,775$ |
c
|
$8,664$ |
d
|
$9,201$ |
e
|
$9,102$ |