Question

Which statements about 5,752÷7 are correct? Select all that apply. (1 point) Responses The quotient is less than 800. The quotient is less than 800. The quotient is greater than 800. The quotient is greater than 800. There is no remainder. There is no remainder. There is a remainder of 3. There is a remainder of 3. There is a remainder of 5.

Answer 1

To analyze the division \( 5,752 ÷ 7 \), we can perform the calculation:

1. Performing the division:

   \[ 5,752 ÷ 7 = 820 \]

2. Now, let’s analyze the statements:

• The quotient is less than 800. – Incorrect (since the quotient is 820).
• The quotient is greater than 800. – Correct (since the quotient is 820).
• There is no remainder. – Incorrect (since \( 7 \times 820 = 5,740 \), leading to a remainder).
• There is a remainder of 3. – Incorrect (the remainder is not 3).
• There is a remainder of 5. – Correct (since \( 5,752 - 5,740 = 12 \), so \( 5,752 - 7 \times 820 = 12 \)).

So the correct statements are:

• The quotient is greater than 800.
• There is a remainder of 5.