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Mathematics

Grade5

Easy

Question

Multiply 804 × 11.

8,844
8,789
8,900
8,704

hint Hint:

In this question we have to multiply as three-digit number with a two-digit number. We can use the distributive law to do this question. Distributive law relates multiplication and addition as follows: $a left parenthesis b plus c plus d right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis plus left parenthesis a cross times space d right parenthesis$ . This law shows that first adding some numbers and the multiplying the sum by some numbers gives same result as first multiplying each number by separately with the number and then adding them

The correct answer is: 8,844

Step1: We have to use the standard algorithm to find the multiplication so we will first break the one number into small numbers that can be easily multiplied to get the result. So, we will divide $804$ as follows:
$804 equals 800 plus 4$
Step2: Now we will use the distributive property to multiply this:
$11 cross times left parenthesis 800 plus 4 right parenthesis equals left parenthesis 11 cross times 800 right parenthesis plus left parenthesis 11 cross times 4 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$11 cross times 800 equals 8 comma 800 11 cross times 4 equals 44$
Step4: Now we have to add these numbers.
$left parenthesis 11 cross times 800 right parenthesis plus left parenthesis 11 cross times 4 right parenthesis equals 8 comma 800 plus 44$
=> $8844$
So, the answer of the multiplication of $804 space cross times space 11$ is $8844$ .

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