Understanding Decimal Representations

This video tutorial covers Engage New York Module 2, Lesson 14, focusing on converting rational numbers to decimals using long division. It explains the process of long division, including handling negative numbers, and provides practice problems for students. The video also discusses identifying repeating decimals and concludes with a summary and homework instructions.

What is the key factor that determines if a decimal will terminate?

• If the numerator is a multiple of 3

• If the fraction is less than 1

• If the denominator has only 2 and 5 as factors

• If the numerator is even

When setting up a long division problem, what should you do if the divisor cannot go into the dividend?

• Switch the divisor and dividend

• Use a calculator

• Annex a zero and bring down the next digit

• Stop the division

How do you handle negative fractions in long division?

• Add the negative sign at the end

• Ignore the negative sign

• Convert them to positive fractions

• Ensure the final decimal is negative

What indicates that a decimal is repeating?

• A remainder of zero

• A decimal point

• A bar over the repeating digits

• A zero in the quotient

Which of the following fractions will result in a repeating decimal?

• 1/2

• 1/3

• 1/5

• 1/4

What are the factors of 16 that determine if its decimal representation will terminate?

• 4 and 4

• 3 and 5

• 2 and 5

• 2 and 3

If a fraction has a denominator of 15, will its decimal representation terminate or repeat?

• Both

• Terminate

• Repeat

• Neither

What is the decimal representation of 1/7?

• 0.333

• 0.25

• 0.5

• 0.142857

What is the correct way to express a repeating decimal?

• With a dot

• With a bar over the repeating digits

• With a comma

• With a semicolon

In the context of dividing costs among friends, what determines if the division will result in a repeating decimal?

• The total cost

• The number of friends

• The factors of the number of friends

• The factors of the total cost