We included HMH Into Math Grade 5 Answer Key PDF Module 14 Lesson 4 Add Decimals to make students experts in learning maths.
HMH Into Math Grade 5 Module 14 Lesson 4 Answer Key Add Decimals
I Can use a written method and strategies based on place value to add decimals.
Step It Out
Question 1.
Willem buys a whistle and a yo-yo for his niece. What is the total cost of the gifts?
Use the chart to help you find the cost.
A. Line up the place values of the two prices.
Answer:
$1.73 – 3 at hundredth’s place, 7 at tenth’s place and 1 at units palce,
$2.45 – 5 at hundredth’s place, 4 at tenth’s place and 2 at units palce,
Explanation:
Lined up the palce values of the two prices as
$1.73 – 3 at hundredth’s place, 7 at tenth’s place and 1 at units palce,
$2.45 – 5 at hundredth’s place, 4 at tenth’s place and 2 at units palce.
B. Add the hundredths.
Answer:
8,
Explanation:
Added the hundredths as 3 + 5 = 8.
C. Add the tenths. Do you need to regroup the tenths? Explain.
Answer:
Yes, needed to regroup the tenths,
Explanation:
Added the tenths as shown above regrouped after adding
7 and 4 at tenth’s we got 11 we wrote 1 at tenth’s place and
regrouped 1 with units place.
D. Add the ones.
Answer:
4,
Explanation:
Added the ones as 1 and 2 and with 1 we will get
4 at ones palce.
E. What is the cost of the two gifts?
Answer:
$4.18,
Explanation:
The total cost of the two gifts is $1.73 + $2.45 = $4.18.
F. How is the written method you used in your chart related to using base-ten blocks or quick pictures to add decimals?
Answer:
Similar way,Addition method,
Explanation:
The written method I used in my chart relates in using
base ten blocks or quick pictures to add decimals will be
the same instead of writing we use base ten blocks or
quick pictures to add decimals similar like addition only
by adding place values and regrouping.
Turn and Talk How is adding decimals like adding whole numbers?
Answer:
Similar, according to their place values,
Explanation:
Adding Decimals, To add decimals:
- Align the decimal points, which will allow all the digits to
be aligned according to their place values. - Add just as you would add whole numbers, beginning
on the right and progressing to the left. - Write the decimal point in the sum, aligned with the decimal
points in the numbers being added.
Example :
0.23
+0.45
0. 68.
Question 2.
Heather and her mom drive from her home to River Park and then to Central Zoo as shown. How far do they drive?
A. Write an equation to estimate how far they drive.
Answer:
d= 10.58 mi + 21.7 mi,
Explanation:
Given Heather and her mom drive from her
home to River Park and then to Central Zoo, the distances are
Heather’s home to River park is 10.58 mi and River park to
Central zoo is 21.7 mi, Let the total distance they drive is
d so the equation is d = 10.58 mi + 21.7 mi.
Use the chart to help you find how far they drive.
B. Line up the place values of the two distances.
Answer:
In 10.58 – 8 at hundredths place,
5 at tenths place and 0 at units place and 1 at tens place,
In 21.7- 7 at tenths place, 1 at units place and 2 at tens palce,
Explanation:
Used the chart to help me find how far they drive as
shown above lined up the place values of the two distances as
In 10.58 – 8 at hundredths place,
5 at tenths place and 0 at units place and 1 at tens place,
In 21.7- 7 at tenths place, 1 at units place and 2 at tens palce,
they drove 32.28 mi.
C. What is 21.7 written to the hundredths place? ______
Answer:
21.70,
Explanation:
Asking 21.7 written to the hundredths place it is 21.70.
D. Add the hundredths first. Then, add the tenths, ones, and tens. Regroup as needed.
Answer:
Hundredths – 8 + 0 = 8,
Tenths – 5 + 7 = 13,
Ones – 1 + 0 + 1 = 2,
Tens – 1 + 2 = 3,
Explanation:
Added the hundredths first as 8 + 0 = 8,
then added the tenths as 5 + 7 = 13, regrouped 1 with ones place
then added ones as 1 + 0 + 1 = 2 and added tens as 1 + 2 = 3.
E. How far do they drive? Is your answer reasonable? How do you know?
Answer:
32.28 mi, Yes reasonable, checking,
Explanation:
They drove 32.28 mi, Yes the answer is reasonable,
By checking and adding 10.58 mi and 21.7 mi we get
32.28 miwhich is similar.
Turn and Talk Does the value of 21.7 change when you write a 0 in the hundredths place? Explain.
Answer:
No,
Explanation:
The value of 21.7 will not change when we write a 0 in the
hundredths place because writing 0 will not increase or decrease
or change the value of 21.7.
Check Understanding
Question 1.
Larry buys a pint of milk for $1.19 and a sandwich for $4.85. How much does Larry spend for the milk and sandwich?
Answer:
$6.04,
Explanation:
Given Larry buys a pint of milk for $1.19 and a sandwich for $4.85.
So does Larry spend for the milk and sandwich is
1, 1
$1.19
+$4.85
$6.04
Find the sum.
Question 2.
3.87 + 6.55
Answer:
10.42,
Explanation:
Given to find sum of 3.87 and 6.55 it is
1,1
3.87
+ 6.55
10.42
Question 3.
29.67 + 13.9
Answer:
43.57,
Explanation:
Given to find sum of 29.67 and 13.9 it is
1,1
29.67
+ 13.90
43.57
Question 4.
2.5 + 3.26 + 4.34
Answer:
10.1,
Explanation:
Given to find sum of 2.5, 3.26 and 4.34 it is
1,1
2.50
3.26
+ 4.34
10.10
Own Your Own
Question 5.
Attend to Precision A rug measures 102 inches long. It has fringe that measures 1.25 inches long on each end. What is the total length of the rug including the fringe on both ends?
Answer:
The total length of the rug including the fringe on both ends is 104.5 inches,
Explanation:
Given a rug measures 102 inches long. It has fringe that
measures 1.25 inches long on each end.
The total length of the rug including the fringe on both ends is
.1
102.00
1.25
+ 1.25
104.50 inches.
Question 6.
Use Tools Ms. Davis has been keeping track of the price of a new sweater that she wants to buy. The original price is $19.99. One week later, the price goes up by $1.50. Two weeks later, the price goes up by another $2. What is the price of the sweater two weeks later? Use the chart to find the price.
Answer:
The price of the sweater two weeks later is $23.49,
Explanation:
Given Ms. Davis has been keeping track of the price of a
new sweater that she wants to buy. The original price is $19.99.
One week later, the price goes up by $1.50. Two weeks later,
the price goes up by another $2.
The price of the sweater two weeks later is
$19.99
$1.50
+$2.00
$23.49, Used the chart to find the price as $23.49 above.
Find the sum.
Question 7.
6.89 + 7.34
Answer:
14.23,
Explanation:
Given to find sum of 6.89 and 7.34 it is
1,1
6.89
+ 7.34
14.23
Question 8.
37.9 + 18.2
Answer:
56.1,
Explanation:
Given to find sum of 37.9 and 18.2 it is
1,1
37.9
+ 18.2
56.10
Question 9.
132.7 + 58.54
Answer:
191.24,
Explanation:
Given to find sum of 132.7 and 58.54 it is
1,1
132.7
+58.54
191.24
Question 10.
15.76 + 8.2
Answer:
23.96,
Explanation:
Given to find sum of 15.76 and 8.2 it is
1,
15.76
+8.20
23.96
Question 11.
6.87 + 5.18
Answer:
12.05,
Explanation:
Given to find sum of 6.87 and 5.18 it is
1,1
6.87
+ 5.18
12.05
Question 12.
19.7 + 5.46
Answer:
25.16,
Explanation:
Given to find sum of 19.7 and 5.46 it is
1,1
19.70
+5.46
25.16
Question 13.
Reason After Andrew cleans a fish tank, it has 24.5 liters of water in it. He uses a container that holds 0.65 liter to add fresh water to the tank. How much water is in the fish tank after Andrew adds 2 containers of water?
Answer:
25.8 liters,
Explanation:
Given after Andrew cleans a fish tank, it has 24.5 liters of
water in it. He uses a container that holds 0.65 liter to add
fresh water to the tank. Much water is in the fish tank after
Andrew adds 2 containers of water is 2 X 0.65 liter = 1.3 liter,
24.5
+ 1.3
25.8 liters
How much water is in the fish tank after Andrew adds 3 containers of water?
Answer:
26.45 liters,
Explanation:
The fish tank after Andrew adds 3 containers of water is
3 X 0.65 liter = 1.95 liters + 24.5 liters = 26.45 liters.
The fish tank holds 30 liters. How many containers of water could Andrew add without overfilling the tank?
Answer:
46 containers,
Explanation:
Asking to find if the fish tank holds 30 liters.
Number of containers of 0.65 liter water could Andrew add
without overfilling the tank is 30 / 0.65 =
0.65)30(46
26
4
3.9
0.1 , therefore 46 containers.
Question 14.
Reason When Harvey was 10 years old, he was 48.5 inches tall. By age 20, he had grown another 21.75 inches. Was Harvey at least 6 feet tall by age 20? Explain.
Answer:
Yes, Harvey is almost 6 feet tall by age 20,
Explanation:
Given Harvey was 10 years old, he was 48.5 inches tall.
By age 20, he had grown another 21.75 inches.
Means by 20 age Harvey has grown
48.5
+21.75
70.25 inches
As 1 feet is equal to 12 inch So it is
70.25/12 =
12)70.25(5.8
60.00
10.25
9.60
0.65
5.8 feet approximately 6 feet, therefore
Yes, Harvey is almost 6 feet tall by age 20.
Question 15.
Attend to Precision Layla adds 57.2, 38.35, and 46.19.
- Which place values require regrouping?
- What digit should be in the tenths place of Layla’s sum?
- What digit should be in the ones place of Layla’s sum?
Answer:
Hundredth’s-9,5,2, units -6,8,7 and ones place -4,3,5 requires regrouping,
1,2,3,1 be in tenths place,
1,5,3 and 4 are in ones place,
Explanation:
Given Layla adds 57.2, 38.35, and 46.19.
Place values require regrouping are hundredth’s-9,5,2,
units -6,8,7 and ones place -4,3,5 requires regrouping,
Digit should be in the tenths place of Layla’s sum are
1,2,3,1 be in tenths place, Digit should be in the ones
place of Layla’s sum is 1,5,3 and 4 are in ones place.
Find the sum.
Question 16.
67.5 + 38.2
Answer:
105.7,
Explanation:
Given to find sum of 67.5 and 38.2 it is
1,
67.5
+38.2
105.7
Question 17.
24.65 + 56.7
Answer:
81.35,
Explanation:
Given to find sum of 24.65 and 56.7 it is
1,1
24.65
+56.70
81.35
Question 18.
237.92 + 825.51
Answer:
1,063.43,
Explanation:
Given to find sum of 19.7 and 5.46 it is
1,1,1
237.92
+825.51
1,063.43
Question 19.
Model with Mathematics Jason measures the mass of a rock. The mass of the rock is the same as the combined mass of a 1.25-kilogram weight and a 2.5-kilogram weight. What is the mass of the rock? Write an equation to model the problem.
Answer:
Mass of the rock is 3.75 kilogram,
m = 1.25 + 2.5,
Explanation:
Given Jason measures the mass of a rock.
The mass of the rock is the same as the combined mass of
a 1.25-kilogram weight and a 2.5-kilogram weight.
The mass of the rock is
1.25
+2.5
3.75 kilogram,
Let m be the mass of the rock so an equation to
model the problem is m = 1.25 + 2.5.
Question 20.
Open-Ended Rita wants to explain to her friend how to add 13.6 and 5.95. What should Rita say?
Answer:
Adding according to place values,
Explanation:
Given Rita wants to explain to her friend how to add
13.6 and 5.95. Rita will say we add according to place values as
hundredths, tenths, units or ones and tens place
13.6
+5.95
19.55