We included **HMH Into Math Grade 5 Answer Key PDF** **Module 14 Lesson 2 Represent Decimal Subtraction **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 14 Lesson 2 Answer Key Represent Decimal Subtraction

I Can use concrete models or drawings to represent decimal subtraction.

**Spark Your Learning**

Adriana monitors the growth of a bamboo cane. How much does the bamboo cane grow from Day 5 to Day 9?

Use a visual model to help you find how much the bamboo cane grows. Draw to show your thinking.

Answer:

The bamboo cane grows 0.22 m,

Explanation:

Given Adriana monitors the growth of a bamboo cane.

Much does the bamboo cane grow from Day 5 to Day 9,

Used a visual model to help and find how much the

bamboo cane grows above as

0.52 m

-0.3 m

0.22 m

**Turn and Talk** After 13 days, the bamboo cane is 1.2 meters tall. How would you adjust your visual model to find how much the cane grows from Day 9 to Day 13?

Answer:

Explanation:

Given after 13 days, the bamboo cane is 1.2 meters tall.

Adjusted my visual model to find how much the cane

grows from Day 9 to Day 13 is 1.2 m – 0.52 m = 0.68 m.

**Build Understanding**

Question 1.

Nathan uses a piece of bamboo to make a bamboo flute. In order for his flute to play in the key of F, he needs the flute to be 0.4 meter long. How much does Nathan need to cut from his piece of bamboo?

Use base-ten blocks to help you find how much Nathan needs to cut.

A. Is the length that he needs to cut less than or greater than 1.0 meter? How do you know?

Answer:

Less than 1.0 meter, Long only is 0.7 m only,

Explanation:

Given Nathan uses a piece of bamboo to make a bamboo flute.

In order for his flute to play in the key of F, he needs the flute to

be 0.4 meter long. Nathan need to cut from his piece of bamboo

as Long is 0.7 m only if we subtract from it it is less than 1.0 meter,

So the length that he needs to cut less than 1.0 meter.

B. What base-ten blocks do you use to show 0.7 and 0.4?

Answer:

tenths,

Explanation:

Tenth’s base-ten blocks I used to show 0.7 and 0.4.

C. Describe how you can use your base-ten blocks to find how much Nathan needs to cut. Do you need to regroup? Explain.

Answer:

Subtracting 0.4 m from 0.7 m,

No regrouping,

Explanation:

We use 7 base ten b locks for 0.7 and from

that we need to take 4 ten blocks so to find

how much Nathan needs to cut, No need to

regroup its very easy to subtract from 0.4 from 0.7.

D. How much does Nathan need to cut from his piece of bamboo? How does your answer compare to your answer from Part A?

Answer:

0.3 m, it’s less than 1.0 m,

Explanation:**
**After calculating Nathan needs 0.3 m to cut from his

piece of bamboo, compairing my answer from

Part A matches as long bamboo only is 0.7 m which is

less than 1.0 m if we take out from 0.7m it will be

obviously less than 1.0 m only.

**Turn and Talk** How does subtraction with decimals compare to subtraction with whole numbers?

Answer:

Subtracting decimals, just like adding decimals,

is similar to subtracting whole numbers.

Explanation:

Just like adding decimals, the only difference is that

we line up according to the decimal point instead of the last digit.

Subtracting decimals is similar to the usual subtraction of

whole numbers. We just need to place the decimal numbers,

one below the other, according to their place values along

with the decimal point. In some cases the two given numbers are different.

Question 2.

Priya and Nathan compare the weights of their flutes. How much more does Priya’s flute weigh than Nathan’s flute?

A. Draw a quick picture to represent the weight of Priya’s flute.

Answer:

Explanation:

Drawn a quick picture to represent the weight of

Priya’s flute as 3.81 ounces as shown above.

B. How can you find how much more Priya’s flute weighs? Draw to show your thinking.

Answer:

More Priya’s flute weighs is 1.06 ounces,

Explanation:

By subtracting Nathan’s flute weighs from Priya’s flute weigh’s

we get more of Priya’s flute weigh as 3.81 ounces – 2.75 ounces =

1.06 ounces drawn to show it above.

C. Describe how you regrouped.

Answer:

Regrouped Priya’s hundreth’s and tenth’s,

Explanation:

Regrouped Priya’s hundreths took 1 from tenth’s to

subtract 5 of hundreth’s Nathan’s we get

results as 11 – 5 = 6 at hundreth’s place.

D. How much more does Priya’s flute weigh than Nathan’s flute?

Answer:

More Priya’s flute weighs is 1.06 ounces,

Explanation:

Given Nathan’s flute weighs 3.81 ounces and

Priya’s flute weigh’s 2.75 ounces ,we get more of

Priya’s flute weigh as 3.81 ounces – 2.75 ounces =

1.06 ounces.

**Check Understanding**

Question 1.

Paula’s kitten weighs 2.15 pounds. Ian’s kitten weighs 3.32 pounds. How much more does Ian’s kitten weigh? Draw a visual model to find your answer.

Answer:

More Ian’s kitten weigh is 1.17 pounds,

Explanation:

Given Paula’s kitten weighs 2.15 pounds. Ian’s kitten weighs 3.32 pounds.

Much more does Ian’s kitten weigh is

3.32 pounds – 2.15 pounds = 1.17 pounds,

Drawn a visual model to show more Ian’s kitten weigh

as 1.17 pounds above.

**On Your Own**

Question 2.

A recipe requires 5 pounds of apples. Marcel weighs his apples and does not have enough. How many more pounds of apples does he need?

Answer:

1.35 pounds,

Explanation:

Given a recipe requires 5 pounds of apples.

Marcel weighs his apples 3.65 lb and does not have enough,

More pounds of apples does Marcel need is 5 – 3.65 = 1.35 pounds.

Question 3.

**Use Tools** Use the decimal model to show the difference 0.64 – 0.17.

What is the difference?

Answer:

Explanation:

Used the decimal model to show the difference as

0.64 – 0.17 = 0.47.

**Subtract. Use base-ten blocks or a visual model.**

Question 4.

0.9 – 0.2

Answer:

Explanation:

Given to find 0.9 – 0.2 used base-ten blocks to find

the difference so 0.9 – 0.2 = 0.7 shown above.

Question 5.

6.4 – 3.3

Answer:

Explanation:

Given to find 6.4 – 3.3 used base-ten blocks to find

the difference so 6.4 – 3.3 = 3.1 shown above.

Question 6.

8 – 6.99

Answer:

Explanation:

Given to find 8 – 6.99 used base-ten blocks to find

the difference so 8 – 6.99 = 1.01 shown above.

Question 7.

**Critique Reasoning** Billy claims that it is not necessary to regroup when subtracting 3.67 from 8.63. Is Billy correct? Explain your reasoning.

Answer:

No, Billy is incorrect,

If value is less than the place values we cannot subtract,

Explanation:

Given Billy claims that it is not necessary to regroup when

subtracting 3.67 from 8.63. Is Billy correct, No Billy is incorrect

we cannot subtract 77 form 3 which is at hundreth’s place

we need regrouping tenth’s place after that we cannot

subtract 6 from 5 at tenths place so again we need to regroup

units place which becomes 7 from that we will subtract 3 as

8.63

-3.67

4.96 , therefore we need to regroup when subtracting,

Billy is incorrect.

Question 8.

**Open-Ended** How do you regroup during decimal subtraction?

Answer:

Regrouping or borrowing is used when the digit being subtracted is

larger than the digit above.

Explanation:

To regroup, add ten to the digit on top and then subtract one

from the digit that is in the place value column immediately

to the left of this digit.

**I’m in a Learning Mindset!**

How do I know that my visual model is correct?

Answer:

Checking with Normal methods and Visual model,

Explanation:

By checking using normal subtraction methods and

cross checking with the visual models answer if both

have same results then my visual model is correct.