Understanding Decimals and Fractions

This lesson covers comparing and ordering rational numbers, focusing on converting between fractions and decimals, simplifying them using the greatest common factor, and understanding their equivalents. It provides practical examples and exercises to reinforce learning, concluding with advice for further study.

What is the first step in comparing and ordering rational numbers?

• Convert all numbers to percentages

• Write all numbers as either decimals or fractions

• Add all numbers together

• Subtract the smallest number from the largest

How do you simplify a fraction?

• Multiply the numerator and denominator by the same number

• Add the numerator and denominator

• Subtract the denominator from the numerator

• Divide the numerator and denominator by their greatest common factor

What is the decimal equivalent of the fraction 1/2?

• 0.25

• 0.5

• 0.75

• 0.2

Which place value is immediately to the right of the decimal point?

• Hundredths

• Thousandths

• Tenths

• Ones

How can you convert a mixed number to a decimal?

• Multiply the whole number by the fraction

• Add the whole number to the fraction

• Subtract the fraction from the whole number

• Convert the fraction to a decimal and add it to the whole number

What is the decimal form of the mixed number 4 and 2/5?

• 4.2

• 4.25

• 4.4

• 4.5

How do you order fractions and decimals from least to greatest?

• Convert them to a common form and compare

• Convert them all to decimals

• Add them together and compare sums

• Convert them all to fractions

What is the common denominator used to compare 1/4 and 3/4?

• 50

• 100

• 25

• 10

How can you find a decimal between 0.5 and 0.6?

• Think of them as 50 hundredths and 60 hundredths and choose a number in between

• Subtract 0.1 from 0.6

• Multiply 0.5 by 0.6

• Add 0.1 to 0.5

What is the decimal equivalent of 3/4?

• 0.25

• 0.5

• 0.75

• 1.0