12.2: Represent Hundredths as Fractions and Decimals

12.2: Represent Hundredths as Fractions and Decimals

I can use a visual model and decimal notation to represent fractions, mixed numbers, and decimals in hundredths.

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Potassium is an important nutrient for our bodies. It supports muscle strength, fluid balance, and energy levels, among other things. The amount of potassium in a medium-sized banana is between 0.4 gram and 0.5 gram of potassium.

What could be the number of grams of potassium in a medium banana?

Multiple Choice

Which of these could be the size of a medium-sized banana?

• 0.35 gram

• 0.45 gram

• 0.51 gram

A medium sized banana could have 0.45 grams of potassium.

The information says that the amount of potassium in a medium-sized banana is between 0.4 gram and 0.5 gram. To write 0.4 as a decimal in hundredths, write 0.40. To write 0.5 as a decimal in hundredths, write 0.50. The number 0.45 is between 0.40 and 0.50.

What is a hundreth?

• A hundredth is 1 of 100 equal-sized parts.

• In a decimal, the first digit to the right of the decimal point is the number of tenths.

• The second digit to the right is the number of hundredths.

Identifying hundredths on a number line (video) | Khan Academy

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Build Understanding Task 1

A jar contains 65/100​​ liter of fresh-squeezed orange juice.

Multiple Choice

How would you describe the tick marks on the number line between the tenths? Use this website if you need help:

• The marks divide the space between the tenths into 10 equal-sized parts, so they represent tenths.

• The marks divide the space between the tenths into 10 equal-sized parts, so they represent hundredths.

• The marks divide the space between the tenths into 10 equal-sized parts, so they represent thousandths.

Multiple Select

Between what two tenths would you locate 65/100 on a number line?

• 4/10

• 5/10

• 6/10

• 7/10

• 8/10

We would find 65/100 between 6 and 7 tenths.

The tenths marks between 0 and 1 are 1 tenth, 2 tenths, 3 tenths, 4 tenths, 5 tenths, 6 tenths, 7 tenths, 8 tenths, and 9 tenths. The tick marks that divide the distance between 0 and 1 into 100 equal-sized parts show hundreths. The tick mark for 65/100 is located between 6 tenths and 7 tenths.

Open Ended

How many tenths and how many hundredths are represented by 65/100?

Fill in the Blanks

What is 65/100 in decimal form?

Build Understanding Problem 2

The hundredths models represent the length, in meters, of a watermelon vine.

Multiple Choice

How can you describe the length of the watermelon vine using words?

• The watermelon vine is thirty-four hundredths meter long.

• The watermelon vine is thirty-four tenths meter long.

• The watermelon vine is three and four tenths meters long.

• The watermelon vine is three and four hundredths meters long.

The watermelon vine is three and four hundredths meters long.

Each whole hundredths model is 1 whole, or one. There are 3 wholes shaded, or three. Each unit of the hundredths model is 1 hundredth. There are 4 units of the last hundredths model shaded, or four hundredths.

Multiple Choice

How can you write the length of the vine as a mixed number?

• 34/100

• 34/10

• 3 and 4/100

• 3 and 4/10

3 and 4/100 meters

A mixed number has a whole number part and a fraction part. Write the whole number part. There are 3 wholes. Then write the hundredths part as a fraction. There are 4 hundredths. Three and four hundredths meters written as a mixed number is 3 and 4/100 meters.

Fill in the Blanks

How can you write the length of the vine as a decimal?

It is 3.04

You can use the hundredths models or the mixed number to see that there are 3 wholes and 4 hundredths. Write a 3 in the ones place. Write the fraction part to the right of the decimal point. There are 0 tenths. Write a 0 in the tenths place. There are 4 hundredths. Write a 4 in the hundredths place. The length of the vine as a decimal is 3.04 meters.