Question Video: Using Fraction Models to Represent Hundredths Mathematics • 4th Grade

Video Transcript

Each big square is one whole. Daniel has colored two wholes and seventeen hundredths orange. Write this as a mixed number. Write this as a decimal. Tip: Use a place value table to help you.

We know that Daniel has colored two wholes and seventeen hundredths orange. We have to write this amount as a mixed number and as a decimal, and we’re told to use the place value table to help. How would we write two wholes and seventeen hundredths as a mixed number. We know that each big square is one whole, and we also know that Daniel has colored two whole squares or two big squares orange, so the whole part of his mixed number is two. We also know that the fractional part of his number is seventeen hundredths. The large square has been divided into 100 smaller squares or 100 equal parts, and each part is a hundredth. And we know that Daniel has colored seventeen hundredths, so two wholes and seventeen hundredths written as a mixed number is two and seventeen hundredths.

Now we need to write this as a decimal. We know that Daniel has colored two whole squares, which represent two ones. And the fractional part of the number is seventeen hundredths. So two wholes and seventeen hundredths as a decimal is 2.17, which we would say as two and seventeen hundredths. Daniel colored two wholes and seventeen hundredths orange. We would write this as a mixed number as two and seventeen hundredths. And to write this as a decimal, we would write 2.17, which is two and seventeen hundredths.