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Mathematics

Grade5

Easy

Question

Calculate 330 × 31.

17,480
10,230
10,900
10,700

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: 10,230

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 $330$ as follows:
$330 equals 300 plus 30$
Step2: Now we will use the distributive property to multiply this:
$31 cross times left parenthesis 300 plus 30 right parenthesis equals left parenthesis 31 cross times 300 right parenthesis plus left parenthesis 31 cross times 30 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$31 cross times 300 equals 9 comma 300 31 cross times 30 equals 930$
Step4: Now we have to add these numbers.
$left parenthesis 31 cross times 300 right parenthesis plus left parenthesis 31 cross times 30 right parenthesis equals 9 comma 300 plus 930$
=> $10 comma 230$
So, the answer of the multiplication of $330 space cross times space 31$ is $10 comma 230$ .

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