Answer :
To tackle the division problem, we're going to divide 1658 by 25 to find the quotient and the remainder. Here's how the division process works:
1. Division: Start by dividing 1658 by 25.
- The whole number part of the division (quotient) is 66.
- This implies [tex]\( 25 \times 66 = 1650 \)[/tex].
2. Remainder Calculation:
- After subtracting 1650 from 1658, we have a remainder of [tex]\( 1658 - 1650 = 8 \)[/tex].
3. Quotient with Remainder as a Fraction:
- The result from the division can also be expressed as a mixed number.
- Here, the quotient is 66, and we have a remainder of 8, so it is [tex]\( 66 \frac{8}{25} \)[/tex].
4. Decimal Representation:
- To represent the division as a decimal, divide 8 by 25 to get the fractional part.
- Hence, [tex]\( \frac{8}{25} = 0.32 \)[/tex].
- Combining this with the whole number part, we have the decimal representation: 66.32.
Final Answer:
- The correct answers are:
- [tex]\( 66.32 \)[/tex]
- [tex]\( 66 \frac{8}{25} \)[/tex]
These match the given options and represent the quotient and remainder effectively.
1. Division: Start by dividing 1658 by 25.
- The whole number part of the division (quotient) is 66.
- This implies [tex]\( 25 \times 66 = 1650 \)[/tex].
2. Remainder Calculation:
- After subtracting 1650 from 1658, we have a remainder of [tex]\( 1658 - 1650 = 8 \)[/tex].
3. Quotient with Remainder as a Fraction:
- The result from the division can also be expressed as a mixed number.
- Here, the quotient is 66, and we have a remainder of 8, so it is [tex]\( 66 \frac{8}{25} \)[/tex].
4. Decimal Representation:
- To represent the division as a decimal, divide 8 by 25 to get the fractional part.
- Hence, [tex]\( \frac{8}{25} = 0.32 \)[/tex].
- Combining this with the whole number part, we have the decimal representation: 66.32.
Final Answer:
- The correct answers are:
- [tex]\( 66.32 \)[/tex]
- [tex]\( 66 \frac{8}{25} \)[/tex]
These match the given options and represent the quotient and remainder effectively.
