Understanding Decimals and Their Representations

The video tutorial introduces decimals and their representation in various forms, including standard, word, and expanded forms. It explains the place value system and how decimals are less than one whole. The tutorial provides examples and exercises to practice converting between forms, emphasizing the importance of understanding place values and the use of fractions in expanded form. The video also includes practical exercises to reinforce the concepts taught.

What is the place value of the digit 7 in the decimal 0.07?

• Tenths

• Ones

• Hundredths

• Thousandths

Which of the following is the standard form of seven hundredths?

• 7.0

• 0.07

• 0.007

• 0.7

How would you write 0.003 in word form?

• Three thousandths

• Three hundredths

• Three ones

• Three tenths

What is the expanded form of the decimal 5.324 using fractions?

• 5 + 3/10 + 2/100 + 4/1000

• 5 + 3/100 + 2/10 + 4/1000

• 5 + 3/1000 + 2/10 + 4/100

• 5 + 3/10 + 2/1000 + 4/100

If you have a decimal 0.004, which place value does the digit 4 occupy?

• Tenths

• Hundredths

• Ten-thousandths

• Thousandths

Convert the fraction 13/1000 into a decimal.

• 0.013

• 0.0013

• 0.13

• 0.00013

What is the standard form of the expanded form: 4 x 10 + 6 x 1 + 7 x 0.1 + 8 x 0.001?

• 46.078

• 46.708

• 46.807

• 46.780

How many hundredths are there in the decimal 23.79?

• 79

• 9

• 7

• 97

What is the expanded form with fractions for the number 91.432?

• 90 + 1 + 4/10 + 3/1000 + 2/100

• 90 + 1 + 4/100 + 3/10 + 2/1000

• 90 + 1 + 4/1000 + 3/10 + 2/100

• 90 + 1 + 4/10 + 3/100 + 2/1000

How long does it take for the Earth to orbit the sun in days, expressed in standard form?

• 365.2

• 365.5

• 365.25

• 365.75