We included **HMH Into Math Grade 4 Answer Key PDF** **Module 12 Lesson 2 Represent Hundredths as Fractions and Decimals **to make students experts in learning maths.

## HMH Into Math Grade 4 Module 12 Lesson 2 Answer Key Represent Hundredths as Fractions and Decimals

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

**Spark Your Learning**

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?

Represent the possible number of grams of potassium on the number line as a fraction and as a decimal.

Answer:

The amount of potassium in a medium-sized banana is between 0.4 grams and 0.5 grams.

Explanation:

From the given data the amount of potassium in a medium-sized banana is between 0.4 gram and 0.5 grams.

**Turn and Talk** Why did you locate the point on the number line where you did?

Answer:

0.4 and 0.5 on number line.

Explanation:

Number line makes numbers comparing easily.

0 to 1 the number line is divided in to 10 parts of 0.1 each unit

**Build Understanding**

Question 1.

A jar contains \(\frac{65}{100}\) liter of fresh-squeezed orange juice.

Represent the amount of juice on a hundredths model and a number line.

Answer:

100th model representation

Explanation:

A jar contains \(\frac{65}{100}\) liter of fresh-squeezed orange juice.

In the grid of 100th model representation 65th part is occupied with fresh orange juice.

A. How would you describe the tick marks on the number line between the tenths?

Answer:

Explanation:

0 to 1 is sub divided in to 100 parts, A hundredth is 1 of 100 equal-sized parts,

as shown in the above number line picture.

0.65 = \(\frac{65}{100}\)

is market on the number line with a blue dot.

Connect to Vocabulary

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.

B. Between which tenths did you locate the number on the number line?

Answer:

Between 60 to 70

Explanation:

\(\frac{60}{100}\) to \(\frac{70}{100}\), the \(\frac{65}{100}\) exists.

C. How many tenths and how many hundredths are represented by \(\frac{65}{100}\)?

________ tenths ________ hundredths

Answer:

0.65

6 tenths 5 hundredths

Explanation:

\(\frac{65}{100}\) is written as 6 tenths and 5 hundredths.

In decimals it is represented as 0.65

D. Record the decimal form for \(\frac{65}{100}\) on the number line above and in the place-value chart.

Answer:

Explanation:

\(\frac{65}{100}\) is written as 6 tenths and 5 hundredths.

In decimals it is represented as 0.65

**Turn and Talk** How do the decimals 0.05 and 0.50 compare? Explain.

Answer:

To compare whether a decimal is greater than or smaller than the other decimal,

we first convert them into like fractions then compare.

Explanation:

Convert 0.05 and 0.50 into like fractions.

\(\frac{5}{10}\) x \(\frac{10}{10}\) = \(\frac{5}{100}\)

\(\frac{50}{100}\) > \(\frac{5}{100}\)

Therefore, 0.5 is greater than 0.05.

Question 2.

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

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

Answer:

The length of the watermelon vine is 3.04 meters.

B. How can you write the length of the vine as a mixed number and as a decimal?

Answer:

3.04

3 x \(\frac{4}{100}\)

Explanation:

From the above given grids each hundredth model is represented as 1meter,

there are 3 complete grids, in the 4th one only 4 cells are shaded.

So, the length of watermelon vine is 3.04 meters.

**Turn and Talk** Max says the vine is 3.4 meters long, and Jen says it is 3.04 meters long. Who is correct and how do you know?

Answer:

Jen is correct

Explanation:

Jen is correct as there are 3 complete hundredths models and in the 4th only 4 cells are shaded.

So, the length of watermelon vine is 3.04 meters.

**Check Understanding**

Question 1.

A grapefruit has a mass of \(\frac{23}{100}\) kilogram. Represent the mass on the hundredths model. Write the mass as a decimal.

_________ kilogram

Answer:

2.3 kilograms

Explanation:

A grapefruit has a mass of \(\frac{23}{100}\) kilogram.

The mass as a decimal is 2.3 kilograms.

Question 2.

Represent 0.73 as a fraction and as a decimal on the number line.

Answer:

Explanation:

0.73 as a fraction is \(\frac{73}{100}\)

\(\frac{73}{100}\) as a decimal is 0.73

**On Your Own**

Question 3.

**Reason** A baker buys blueberries from the farmers market. The hundredths models show the mass of the blueberries in kilograms.

Write the mass as a mixed number and as a decimal.

Answer:

2.36 kilograms

2 \(\frac{36}{100}\)kilograms

Explanation:

Each hundredth model is represented as 1

There are 2 complete sets of hundredths model.

In the third set only 36 parts are shaded.

So, the mass of grapes 2\(\frac{36}{100}\) kilogram

Question 4.

**Use Structure** Marta spends \(\frac{58}{100}\) hour picking raspberries. Show the amount of time as a fraction and as a decimal on the number line.

Answer:

Explanation:

Marta spends \(\frac{58}{100}\) hour picking raspberries.

As a fraction we write as \(\frac{5}{8}\)

As a decimal we write 0.58

Question 5.

**Use Tools** Shade the hundredths models to show 2.85.

Write the decimal as a mixed number. ___________

Answer:

2.85 = 2\(\frac{85}{100}\)

Explanation:

each box is represented as 1

there are 2 completely shaded boxes and one is with 85 shaded parts,

the above model can be written as the decimal as a mixed number as 2.85 = 2\(\frac{85}{100}\)

**I’m in a Learning Mindset!**

Why might I share with a classmate the strategy I used to show a decimal in hundredths on a number line?

Answer:

Answer may vary.

Explanation:

To show a decimal in hundredths on a number line is easy to understand and solve the problems of fractions.