Understanding Fractions and Decimals

Understanding Fractions and Decimals

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the classification of rational numbers into terminating and non-terminating recurring decimals. It demonstrates how to determine the type of decimal by analyzing the prime factors of the denominator. The tutorial provides examples of rational numbers and explains the process of prime factorization to identify whether a decimal is terminating or non-terminating recurring. The key takeaway is that if the prime factors of the denominator are only 2 or 5, the decimal is terminating; otherwise, it is non-terminating recurring.

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23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two types of decimals that rational numbers can be classified into?

Even and odd

Positive and negative

Whole and fractional

Terminating and non-terminating recurring

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a characteristic of a terminating decimal?

Digits after the decimal point repeat indefinitely

Decimal value is less than 0

Digits after the decimal point end

Decimal value is greater than 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal form of the fraction '5 by 2'?

0.25

5.2

0.5

2.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which fraction results in a non-terminating recurring decimal?

5 by 2

9 by 20

8 by 15

17 by 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of the denominator in the fraction '8 by 15'?

2 x 3

2 x 5

3 x 5

5 x 7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if a decimal is terminating by looking at the denominator?

If the denominator is an even number

If the prime factors of the denominator are only 2 and/or 5

If the denominator is a multiple of 7

If the denominator is a multiple of 3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of 20?

2^2 x 5

5 x 4

2 x 10

3 x 7

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