Understanding Modulo Operation with Negative Dividends

This video tutorial explains the modulo operation, focusing on cases where the dividend is negative and the divisor is positive. It introduces the division algorithm and demonstrates how to calculate the remainder using both negative and positive remainders. The tutorial provides a formula for handling negative dividends and includes examples to verify the calculations. It also highlights differences in how some programming languages handle negative modulo operations.

What does the modulo operation return when dividing two integers?

• The sum of the two numbers

• The remainder of the division

• The product of the two numbers

• The quotient of the division

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

When dividing a negative number by a positive number, what should the remainder be according to the division algorithm?

• Greater than or equal to zero

• Greater than the divisor

• Equal to zero

• Less than zero

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

How is negative 11 mod 5 correctly expressed?

• Negative 11 mod 5 is -1

• Negative 11 mod 5 is 0

• Negative 11 mod 5 is -4

• Negative 11 mod 5 is 4

What formula can be used to find the modulo of a negative number?

• Negative a mod b is equal to a plus b

• Negative a mod b is equal to b minus a mod b

• Negative a mod b is equal to a times b

• Negative a mod b is equal to a divided by b

Tags

CCSS.8.EE.A.1

Using the formula, what is negative 12 mod 5?

• 2

• 3

• 1

• 4

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Why might some programming languages return a negative value for a mod b?

• They require the remainder to be positive

• They use a different division algorithm

• They require the absolute value of the remainder to be less than the divisor

• They do not support negative numbers

Tags

CCSS.4.NBT.B.6

What is the remainder when 25 is divided by 7?

• 2

• 3

• 5

• 4

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CCSS.4.NBT.B.6

What is the result of negative 47 mod 12 using the formula?

• 11

• 1

• 0

• Negative 11

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CCSS.4.NBT.B.6

How can negative 123 be expressed using the division algorithm?

• Negative 123 equals negative 14 times 10 plus 5

• Negative 123 equals negative 12 times 10 plus 3

• Negative 123 equals negative 13 times 10 plus 7

• Negative 123 equals negative 15 times 10 plus 2

Tags

CCSS.4.NBT.B.6

What is the remainder when 483 is divided by 15?

• 4

• 5

• 3

• 2

Tags

CCSS.4.NBT.B.6