Converting Fractions to Decimals and Percents

The video tutorial explains how to use a decimal grid to model the fraction nine-twentieths. It demonstrates how to convert 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 shows how to partition the grid into twenty equal parts to model the fraction, then convert it to a decimal (0.45) and a percentage (45%).

What does a ten-by-ten grid represent in the decimal grid system?

• One

• One thousandth

• One hundredth

• One tenth

How many equal partitions do we divide the ten-by-ten grid into for the fraction nine-twentieths?

• Twenty

• Ten

• Forty

• Thirty

How many partitions do we shade for the fraction nine-twentieths?

• Ten

• Nine

• Eight

• Seven

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

• 0.50

• 0.40

• 0.54

• 0.45

How many one-by-ten grids (longs) are there in the decimal representation of nine-twentieths?

• Four

• Three

• Two

• Five

How many one-by-one grids (bits) are there in the decimal representation of nine-twentieths?

• Three

• Six

• Four

• Five

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

• Thirty-five

• Forty

• Fifty

• Forty-five

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

• 45%

• 40%

• 35%

• 50%

How many equal pieces is the ten-by-ten grid partitioned into for percentage calculation?

• One hundred

• One hundred and twenty

• Seventy-five

• Fifty

What fraction is equivalent to the decimal 0.45?

• 9/20

• 3/4

• 1/2

• 4/5