Answer :
To find the answer to [tex]\(7669 \div 472\)[/tex], you perform the division step-by-step.
1. Divide 7669 by 472 to find the quotient:
- Start by estimating how many times 472 fits into the first few digits of 7669. Since 472 is close to 500, consider how many times 500 can fit into 7669.
- 500 goes into 7669 approximately 15 times because [tex]\( 500 \times 15 = 7500 \)[/tex], which is less than 7669.
- Now refine the guess to see if we can fit more times with 472.
2. Calculating More Precisely:
- Try if 472 goes in more than 15 times. Multiply 472 by 16:
[tex]\( 472 \times 16 = 7552 \)[/tex].
- Since [tex]\( 7552 \leq 7669 \)[/tex] and fits without exceeding, the quotient is 16.
3. Calculate the Remainder:
- Now subtract the result you got by multiplying the quotient by 472 from the original number:
[tex]\( 7669 - (472 \times 16) = 7669 - 7552 = 117 \)[/tex].
- Therefore, the remainder is 117.
The total result of the division [tex]\(7669 \div 472\)[/tex] is:
- The quotient is 16 and the remainder is 117.
So, the correct answer is: C. 16 r 117.
1. Divide 7669 by 472 to find the quotient:
- Start by estimating how many times 472 fits into the first few digits of 7669. Since 472 is close to 500, consider how many times 500 can fit into 7669.
- 500 goes into 7669 approximately 15 times because [tex]\( 500 \times 15 = 7500 \)[/tex], which is less than 7669.
- Now refine the guess to see if we can fit more times with 472.
2. Calculating More Precisely:
- Try if 472 goes in more than 15 times. Multiply 472 by 16:
[tex]\( 472 \times 16 = 7552 \)[/tex].
- Since [tex]\( 7552 \leq 7669 \)[/tex] and fits without exceeding, the quotient is 16.
3. Calculate the Remainder:
- Now subtract the result you got by multiplying the quotient by 472 from the original number:
[tex]\( 7669 - (472 \times 16) = 7669 - 7552 = 117 \)[/tex].
- Therefore, the remainder is 117.
The total result of the division [tex]\(7669 \div 472\)[/tex] is:
- The quotient is 16 and the remainder is 117.
So, the correct answer is: C. 16 r 117.
