IDNLearn.com is your go-to resource for finding answers to any question you have. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
Sure, let's solve the division of [tex]\( 14,053 \)[/tex] by [tex]\( 8 \)[/tex] step-by-step.
1. Determine how many times 8 fits into the first digit(s) of the dividend (1).
- 8 does not fit into the first digit [tex]\( 1 \)[/tex].
- Combine the first two digits: [tex]\( 14 \)[/tex].
- [tex]\( 8 \)[/tex] fits into [tex]\( 14 \)[/tex] once (because [tex]\( 8 \times 1 = 8 \)[/tex]).
2. Subtract the product from the combined digits:
[tex]\[ 14 - 8 = 6 \][/tex]
3. Bring down the next digit from the dividend (0) to get [tex]\( 60 \)[/tex], and determine how many times 8 fits into [tex]\( 60 \)[/tex]:
- [tex]\( 8 \times 7 = 56 \)[/tex]. So, 8 fits into [tex]\( 60 \)[/tex] seven times.
4. Subtract the product from [tex]\( 60 \)[/tex]:
[tex]\[ 60 - 56 = 4 \][/tex]
5. Bring down the next digit from the dividend (5) to make [tex]\( 45 \)[/tex]:
- [tex]\( 8 \times 5 = 40 \)[/tex]. So, 8 fits into [tex]\( 45 \)[/tex] five times.
6. Subtract the product from [tex]\( 45 \)[/tex]:
[tex]\[ 45 - 40 = 5 \][/tex]
7. Bring down the last digit from the dividend (3) to make [tex]\( 53 \)[/tex]:
- [tex]\( 8 \times 6 = 48 \)[/tex]. So, 8 fits into [tex]\( 53 \)[/tex] six times.
8. Subtract the product from [tex]\( 53 \)[/tex]:
[tex]\[ 53 - 48 = 5 \][/tex]
The quotient is formed by the sequence of numbers obtained: [tex]\( 1, 7, 5, 6 \)[/tex].
Hence, the quotient is [tex]\( 1,756 \)[/tex] and the remainder is [tex]\( 5 \)[/tex].
So, the result of dividing [tex]\( 14,053 \)[/tex] by [tex]\( 8 \)[/tex] is:
[tex]\[ 14,053 \div 8 = 1,756 \text{ R } 5 \][/tex]
Which means:
[tex]\[ 14,053 = 8 \times 1,756 + 5 \][/tex]
Thus, the quotient is [tex]\( 1,756 \)[/tex] and the remainder is [tex]\( 5 \)[/tex].
1. Determine how many times 8 fits into the first digit(s) of the dividend (1).
- 8 does not fit into the first digit [tex]\( 1 \)[/tex].
- Combine the first two digits: [tex]\( 14 \)[/tex].
- [tex]\( 8 \)[/tex] fits into [tex]\( 14 \)[/tex] once (because [tex]\( 8 \times 1 = 8 \)[/tex]).
2. Subtract the product from the combined digits:
[tex]\[ 14 - 8 = 6 \][/tex]
3. Bring down the next digit from the dividend (0) to get [tex]\( 60 \)[/tex], and determine how many times 8 fits into [tex]\( 60 \)[/tex]:
- [tex]\( 8 \times 7 = 56 \)[/tex]. So, 8 fits into [tex]\( 60 \)[/tex] seven times.
4. Subtract the product from [tex]\( 60 \)[/tex]:
[tex]\[ 60 - 56 = 4 \][/tex]
5. Bring down the next digit from the dividend (5) to make [tex]\( 45 \)[/tex]:
- [tex]\( 8 \times 5 = 40 \)[/tex]. So, 8 fits into [tex]\( 45 \)[/tex] five times.
6. Subtract the product from [tex]\( 45 \)[/tex]:
[tex]\[ 45 - 40 = 5 \][/tex]
7. Bring down the last digit from the dividend (3) to make [tex]\( 53 \)[/tex]:
- [tex]\( 8 \times 6 = 48 \)[/tex]. So, 8 fits into [tex]\( 53 \)[/tex] six times.
8. Subtract the product from [tex]\( 53 \)[/tex]:
[tex]\[ 53 - 48 = 5 \][/tex]
The quotient is formed by the sequence of numbers obtained: [tex]\( 1, 7, 5, 6 \)[/tex].
Hence, the quotient is [tex]\( 1,756 \)[/tex] and the remainder is [tex]\( 5 \)[/tex].
So, the result of dividing [tex]\( 14,053 \)[/tex] by [tex]\( 8 \)[/tex] is:
[tex]\[ 14,053 \div 8 = 1,756 \text{ R } 5 \][/tex]
Which means:
[tex]\[ 14,053 = 8 \times 1,756 + 5 \][/tex]
Thus, the quotient is [tex]\( 1,756 \)[/tex] and the remainder is [tex]\( 5 \)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.