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We can use the standard algorithm when we want to multiply a three-digit number by a two-digit number.

As an example, let's find 706 \times 25. As always, we write the problem down in the following way:

706×000253,530+14,120=17,650

First, we multiply the top number ( 706 ) by the ones digit of the second ( \bbox[2px, lightgray]{5} ).

[math]\color{blue}\phantom{0}[/math][math]\color{blue}3[/math]706×000253530706×5=3,530000000,

Next, we multiply top number ( 706 ) by \bbox[2px, lightgray]{2}0. Let's do this in steps:

Step 1: We add a zero underneath the result of the first calculation, in the ones place:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}3[/math]706×00025353014120706×20=14,1200000,

Step 2: We continue to work out 706\times \bbox[2px, lightgray]{2}0, proceeding as usual:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}3[/math]706×00025353014120706×20=14,1200000,

Finally, we add the results:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}3[/math]706×000253530+14120176503,530+14,120=17,650

Therefore, 706 \times 25 = 17 , 650.

FLAG

What is 268 multiplied by 54?

EXPLANATION

We write it this way:

268×000541,072+13,400=14,472

First, we multiply the ones:

[math]\color{blue}2[/math][math]\color{blue}3[/math]268×000541072268×4=1,0720000000

Next, we multiply the tens:

[math]\color{blue}3[/math][math]\color{blue}2[/math][math]\color{blue}4[/math][math]\color{blue}3[/math]268×00054107213400268×50=13,4000000,

Finally, we add the results:

[math]\color{blue}3[/math][math]\color{blue}2[/math][math]\color{blue}4[/math][math]\color{blue}3[/math]268×000541072+13400144721,072+13,400=14,472

Therefore, 268 \times 54 = 14 , 472.

FLAG

What is 187 multiplied by 42?

a
9,204
b
7,854
c
4,544
d
8,274
e
9,814

From left to right, what are the missing digits in the following multiplication problem?

462×000841848+3696030808

a
3 and 0
b
8 and 0
c
4 and 2
d
9 and 0
e
8 and 4

There is no limit to the size of the numbers that we can multiply using the standard algorithm.

For example, to calculate 6,132 \times 54 , we write it this way:

6132×0000544,859+97,180=102,039

First, we multiply the ones:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math]6132×000054245286,132×4=24,5280000000

Next, we multiply the tens:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math]6132×000054245283066006,132×50=306,60000000

Finally, we add the results:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math]6132×0000542452830660033112824,528+306,600=331,128

Therefore, 6,132 \times 54 = 331 , 128.

FLAG

Find the value of 2,324\times 46.

EXPLANATION

We write it this way:

2324×000046

First, we multiply the ones:

[math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}2[/math]2324×000046139442,324×6=13,944

Next, we multiply the tens:

[math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}2[/math]2324×00004613944929602,324×40=92,960

Finally, we add the results:

[math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}2[/math]2324×00004613944+9296010690413,944+92,960=106,904

Therefore, 2,324 \times 46 = 106 , 904.

FLAG

What is 1,533 multiplied by 53?

a
81,249
b
83,359
c
79,689
d
77,249
e
80,139

2,136×42=

a
89,712
b
89,272
c
82,719
d
89,127
e
87,912

A hospital orders 21 shipments of syringes. Each shipment contains 4,859 syringes. How many syringes has the hospital ordered in total?

EXPLANATION

To calculate the total number of syringes the hospital ordered, we need to multiply 4,859 by 21.

We write it this way:

4859×0000214,859+97,180=102,039

First, we multiply the ones:

[math]\color{blue}\phantom{0}[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}\phantom{0}[/math]4859×00002148594,859×1=4,8590000000

Next, we multiply the tens:

[math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math]4859×0000214859971804,859×20=97,18000000

Finally, we add the results:

[math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math][math]\color{blue}1[/math][math]\color{blue}\phantom{0}[/math]4859×0000214859+971801020394,859+97,180=102,039

So, 4,859 \times 21 = 102 , 039.

Therefore, the hospital ordered 102,039 syringes in total.

FLAG

A soccer club offers all 8,254 fans attending a game a free portion of fries. Each portion contains 31 individual fries. How many individual fries must the club prepare?

a
226,394
b
289,854
c
287,224
d
236,844
e
255,874

A cookie factory produces 2,493 batches of cookies in one day. There are 36 cookies in each batch. How many cookies does the factory produce in a day?

a
93,418
b
91,468
c
89,748
d
85,248
e
98,478

From left to right, what are the missing digits in the following multiplication problem? 42689×00000472[math]\phantom{i}[/math]0[math]\phantom{i}[/math]3[math]\phantom{i}[/math]3

EXPLANATION

We write it this way:

42689×000004742,689×40=1,707,560

First, we multiply the ones:

[math]\color{blue}1[/math][math]\color{blue}4[/math][math]\color{blue}6[/math][math]\color{blue}6[/math]42689×000004729882342,689×7=298,82300,

Next, we multiply the tens:

[math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}2[/math][math]\color{blue}4[/math][math]\color{blue}3[/math][math]\color{blue}6[/math][math]\color{blue}3[/math][math]\color{blue}6[/math]42689×0000047298823170756042,689×40=1,707,560

Finally, we add the results:

[math]\color{blue}1[/math][math]\color{blue}1[/math][math]\color{blue}2[/math][math]\color{blue}4[/math][math]\color{blue}3[/math][math]\color{blue}6[/math][math]\color{blue}3[/math][math]\color{blue}6[/math]42689×0000047298823+17075602[math]0[/math]0[math]6[/math]3[math]8[/math]3298,823+1,707,560=0,,=2,006,383

Therefore, the missing digits are 0,6 and 8.

FLAG

A museum's admittance fee is $43. In January, the museum had 23,772 visitors. How many dollars did the museum make in admittance fees in January in total?

a
$1,122,286
b
$1,022,196
c
$1,035,086
d
$1,028,726
e
$1,129,116

17,952×23=

a
341,126
b
394,966
c
251,426
d
412,896
e
520,666
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