Answer :
To divide 1658 by 25 and find the quotient and remainder, follow these steps:
1. Divide: First, perform the division of 1658 by 25. When you divide, you will obtain:
- A quotient of 66, which is the whole number part of the division.
2. Find the Remainder: After getting the quotient, calculate the remainder:
- The remainder is found by subtracting [tex]\(66 \times 25\)[/tex] from 1658. So, [tex]\(1658 - 1650 = 8\)[/tex].
3. Quotient with Decimal: To express the division as a decimal, you incorporate the remainder into the quotient:
- Convert the remainder into a decimal by dividing it by the divisor: [tex]\( \frac{8}{25} = 0.32\)[/tex].
- Add this decimal to the quotient to get the decimal representation of the division: [tex]\(66 + 0.32 = 66.32\)[/tex].
4. Quotient with Fractional Remainder: You can also express the result of the division in terms of a mixed number (quotient with a fractional remainder):
- Here, the mixed number representation will be [tex]\(66 \frac{8}{25}\)[/tex].
Based on these calculations, the correct expressions of the quotient are:
- Decimal: 66.32
- Mixed number with fractional remainder: [tex]\(66 \frac{8}{25}\)[/tex]
Therefore, the correct options for the quotient and remainder are 66.32 and [tex]\(66 \frac{8}{25}\)[/tex].
1. Divide: First, perform the division of 1658 by 25. When you divide, you will obtain:
- A quotient of 66, which is the whole number part of the division.
2. Find the Remainder: After getting the quotient, calculate the remainder:
- The remainder is found by subtracting [tex]\(66 \times 25\)[/tex] from 1658. So, [tex]\(1658 - 1650 = 8\)[/tex].
3. Quotient with Decimal: To express the division as a decimal, you incorporate the remainder into the quotient:
- Convert the remainder into a decimal by dividing it by the divisor: [tex]\( \frac{8}{25} = 0.32\)[/tex].
- Add this decimal to the quotient to get the decimal representation of the division: [tex]\(66 + 0.32 = 66.32\)[/tex].
4. Quotient with Fractional Remainder: You can also express the result of the division in terms of a mixed number (quotient with a fractional remainder):
- Here, the mixed number representation will be [tex]\(66 \frac{8}{25}\)[/tex].
Based on these calculations, the correct expressions of the quotient are:
- Decimal: 66.32
- Mixed number with fractional remainder: [tex]\(66 \frac{8}{25}\)[/tex]
Therefore, the correct options for the quotient and remainder are 66.32 and [tex]\(66 \frac{8}{25}\)[/tex].
