what is the remainder when 21 is divided by 7
What is the remainder when 21 is divided by 7?
Answer: When you divide a number by another, the remainder is the amount left over after performing the division. In mathematical terms, if we denote ( a ) as the dividend and ( b ) as the divisor, the division can be expressed as:
a = b \times q + r
Where:
- ( a ) is the dividend (21 in this case).
- ( b ) is the divisor (7 in this case).
- ( q ) is the quotient.
- ( r ) is the remainder.
In the division of 21 by 7, the equation becomes:
[ 21 = 7 \times q + r ]
To find the quotient ( q ) and the remainder ( r ), you perform the division:
[ 21 \div 7 = 3 ]
This means:
- ( q = 3 ), because ( 7 \times 3 = 21 )
- ( r = 0 ), because 21 is exactly divisible by 7 without any leftovers.
Thus, the remainder when 21 is divided by 7 is (\mathbf{0}). This indicates that 21 is a multiple of 7.
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