We included HMH Into Math Grade 5 Answer Key PDF Module 14 Add and Subtract Decimals to make students experts in learning maths.

WHAT IS THE SECRET WORD?

Each letter in the problems represents a digit from 0 to 9. Use reasoning to find the digit that each letter represents. Record the letters to reveal a secret word. The letters for 4 and 9 are shown.

Turn and Talk
How can you find the digit that the letter R represents without knowing any other digits?
1,

Explanation:
In second sum it is given subtraction when we can take
also it can be 0 or 1 then we should be
one digit only carry forward so it cannot be o it will be
1 only.

Which of the three problems could you use to find the digit for T?
Second Problem D – D = T,
T – 0,

Explanation:
In second problem subtraction
we have D – D = T which means any number from same
number subtraction we get 0 means T is 0.

Explain how you found the digits represented by the other letters.
By finding,
0 – T, 1 – R, 2 – A, 3 – P, 4 – E , 5 – Z, 6 – O, 7 – I , 8 – D, 9 – S,
Secret word is TRAPEZOIDS,

Explanation:
Already 4 – E and 9 – S is given, In first sum
S + S = D as S is 9 it means 9 + 9 = 18 we take D as 8,
In third sum S + E = E means 9 + 4 = 13 as E is 4
means Z + Z = T, T is 0 means Z + Z = 10, So Z = 5 as
2Z = 10 means Z = 10/2 = 5, As in third sum we have
A + Z = D, As D is 8 and Z is 5 so A is 8 – 5 = 3,
We have P + D = A in third sum so as D is 8 and A is 3 we get
first sum P + O = T as we have T = 0,
we have O + E = T = O + 4 = 0 means O will be
6 so that 6 + 4 = 10 we take 0 as T, We have I – O = R,
As R is 1 and O is 6 so we will get I – 6 = 1 means I = 6 + 1 = 7,
we have in first 1 + P + O = T, 1 + P + 6 = 0, P + 7 = 0 means
P will be 3, therefore we get 0 – T, 1 – R, 2 – A, 3 – P, 4 – E ,
5 – Z, 6 – O, 7 – I , 8 – D, 9 – S,
Secret word is TRAPEZOIDS.

Complete these problems to review prior concepts and skills you will need for this module.

Find the sum or difference.

Question 1.

Explanation:
Given to find sum so
1
35
+58
93.

Question 2.

Explanation:
Given to find the difference as we can not subtract 9
from 4 we take 1 from 6 so it becomes 14 so we get
14 – 9 = 5 at units place and we will have 5 at tens place
5 – 3 = 25,
Â  Â 1
64
-39
25

Subtract Through 4-Digit Numbers: Subtract Across Zeros

Find the difference.

Question 3.

Explanation:
Given to find
2,9,15
305
– 56
249
As 5 is less than 6 we take 1 from 1 as 0 is
less than 1 we take from 3 which will become 2,
so 15 – 6 it is 9 at units place,
9 – 5 we get 4 at tens place and
2 – 0 = 2 at hundreds place.

Question 4.

Explanation:
Â  9,10Â
500
-135
365
As 0 is less than 5 we take 1 from 0 as 0 is
also less than 5 we take from 5 which will become 4,
so 10 – 5 it is 5 at units place,
9 – 3 we get 6 at tens place and
4 – 1 = 3 at hundreds place.

Question 5.

Explanation:
Â  2,9,10Â
4,302
-233
4069
As 2 is less than 3 we take 1 from 0 as 0 is
also less than 3 we take from 3 which will become 2,
so 12 – 3 it is 9 at units place,
9 – 3 we get 6 at tens place,
3 – 3 = 0 at hundreds place and
4 – 0 = 4 at thousands place.

Question 6.

Explanation:
Â 1,9,9,10Â
2,006
–Â  Â 68
1,938
As 6 is less than 8 we take 1 from 0 as 0 is
also less than 0 we take from 0 which is also less,
so we take 1 from 2 which will become 1,
so 16 – 8 = 8 it is 8 at units place,
9 – 6 = 3 we get 3 at tens place,
9 – 0 = 9 at hundreds place and
1 – 0 = 1 at thousands place.

Question 7.

Explanation:
Â 4,9,11,10Â
5,024
–Â  876
4,148
As 4 is less than 6 we take 1 from 2,
now 2 is less than 7 we take from 0 which is also less,
so we take 1 from 5 which will become 4,
so 14 – 6 = 8 it is 8 at units place,
11 – 7 = 4 we get 4 at tens place,
9 – 8 = 1 at hundreds place and
4 – 0 = 4 at thousands place.

Question 8.

Explanation:
Â  3,9,17Â
1,507
– 1,388
Â  Â  119
As 7 is less than 8 we will take 1 from 0,
as 0 is less than 8 so we take from 1 from 5
which will become 4,
so 17 – 8 = 9 it is 9 at units place,
9 – 8 = 1 we get 1 at tens place,
4 – 3 = 1 at hundreds place and
1 – 1 = 0 at thousands place.

Place Value to Ten Thousand

Write the value of the underlined digit.

Question 9.
753
5 – Ten’s place,

Explanation:
Given 753 underlined is 5 which is at
ten’s place.

Question 10.
5,875
5 – Thousand’s place,

Explanation:
Given 5,875Â underlined is 5 which is at
thousand’s place.

Question 11.
3,628
6 – Hundred’s place,

Explanation:
Given 3,628 underlined is 6 which is at
hundred’s place.

Question 12.
5,276
2 – Hundred’s place,

Explanation:
Given 5,276 underlined is 2 which is at
hundred’s place.

Question 13.
2,735
5 – Unit’s place,

Explanation:
Given 2,735 underlined is which is at
unit’s place.

Question 14.
6,208