Understanding Fractions, Decimals, and Percentages

The video tutorial explains how to use a decimal grid to model the fraction nine-twentieths. It covers the conversion of this fraction into a decimal and a percentage. The decimal grid is defined with a ten-by-ten grid representing one whole, a one-by-ten grid as one-tenth, and a one-by-one grid as one-hundredth. The tutorial demonstrates cutting the grid into twenty equal parts to model the fraction, shading nine parts to represent nine-twentieths. It then explains converting this fraction into a decimal (0.45) and a percentage (45%).

What is the value of a 'flat' in the decimal grid system?

• One tenth

• Ten

• One hundredth

• One

How many equal partitions are made in the ten-by-ten grid to model the fraction nine-twentieths?

• Fifty

• One hundred

• Twenty

• Ten

How many partitions are shaded to represent the fraction nine-twentieths?

• Nine

• One hundred

• Forty-five

• Twenty

What is the decimal representation of the fraction nine-twentieths?

• 0.45

• 0.05

• 0.9

• 0.20

How many 'longs' are counted to convert the fraction nine-twentieths into a decimal?

• Three

• Five

• Four

• Two

What is the total number of shaded bits in the decimal grid for the fraction nine-twentieths?

• Fifty

• Twenty

• Thirty

• Forty-five

Which of the following is equivalent to 0.45?

• 45%

• 0.045

• 4.5

• 0.0045

What percentage of the ten-by-ten grid is shaded to represent the fraction nine-twentieths?

• 100%

• 90%

• 45%

• 20%

How many equal pieces is the ten-by-ten grid partitioned into to determine the percentage?

• Ten

• One hundred

• Twenty

• Fifty

What is the equivalent percentage of the decimal 0.45?

• 4.5%

• 45%

• 0.45%

• 450%