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.