Chapter 3.3 Decimal Fractions

Open Ended

Why are decimal numbers important in solving practical problems in various trades?

Multiple Choice

Which of the following is a correct way to convert a fraction to a decimal number?

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

Fill in the Blank

To convert a fraction to decimal form, divide the ___ by the denominator.

Multiple Choice

What is a terminating decimal?

• A decimal that repeats forever

• A decimal that ends after a finite number of digits

• A decimal that has a nonzero remainder

• A decimal that is irrational

Multiple Choice

What is the decimal equivalent of 11/1000?

• 0.011

• 0.11

• 0.0011

• 0.111

Multiple Select

Which of the following fractions will result in a terminating decimal when converted to decimal form?

• 1/3

• 5/8

• 2/7

• 11/1000

Open Ended

Explain the process of converting a fraction with a denominator that is a power of ten to its decimal equivalent.

Open Ended

Why is it useful for trades workers to know the decimal equivalents of shop fractions?

Open Ended

Explain how you would determine the closest fractional equivalent to a given decimal using a conversion table.

Multiple Choice

Which of the following fractions is closest to the decimal 0.741?

• 47/64

• 3/4

• 11/16

• 5/8

Multiple Choice

If you need to approximate 0.741 in. using only denominators of 2, 4, 8, or 16, which fraction would you choose?

• 11/16

• 3/4

• 1/2

• 5/8

Open Ended

Describe a practical situation where you would choose the higher fractional equivalent rather than the closer one.

Fill in the Blank

The decimal equivalent of 1/3 is ___

Multiple Select

Which of the following are repeating decimals?

• 0.333...

• 0.25

• 0.272727...

• 0.5

Multiple Choice

What does the bar notation in decimals represent?

• It shows the decimal terminates.

• It indicates the digits under the bar repeat endlessly.

• It means the digits under the bar are ignored.

• It is used only for whole numbers.

Fill in the Blank

To write 0.366... using bar notation, be careful to write the bar only over the ___.

Multiple Select

Which of the following fractions is equivalent to the repeating decimal 0.27̅?

• 3/11

• 27/99

• 7/9

• 41/333

Multiple Choice

When rounding the fraction 2/13 to two decimal places, what is the result?

• 0.15

• 0.2

• 0.154

• 0.1538

Open Ended

Describe the process for adding a fraction and a decimal, and how to round the result appropriately.

Multiple Choice

Which of the following is an objective of this lesson on decimal numbers?

• Convert fractions to decimal numbers

• Learn about Roman numerals

• Study geometric shapes

• Memorize multiplication tables

Open Ended

What are two main objectives you learned about decimal numbers in this lesson?

Multiple Choice

What is the flow rate in MGD if a water treatment plant processes 50,000 gallons per day?

• 0.05 MGD

• 0.005 MGD

• 0.5 MGD

• 0.0005 MGD