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

## HMH Into Math Grade 5 Module 14 Answer Key Add and Subtract Decimals

**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?

Answer:

1,

Explanation:

In second sum it is given subtraction when we can take

something from R given no letter to subtract and no results,

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?

Answer:

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.

Answer:

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.

**Are You Ready?**

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

**2-Digit Addition and Subtraction**

**Find the sum or difference.**

Question 1.

Answer:

Explanation:

Given to find sum so

1

35

+58

93.

Question 2.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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

Answer:

5 – Ten’s place,

Explanation:

Given 753 underlined is 5 which is at

ten’s place.

Question 10.

5,875

Answer:

5 – Thousand’s place,

Explanation:

Given 5,875Â underlined is 5 which is at

thousand’s place.

Question 11.

3,628

Answer:

6 – Hundred’s place,

Explanation:

Given 3,628 underlined is 6 which is at

hundred’s place.

Question 12.

5,276

Answer:

2 – Hundred’s place,

Explanation:

Given 5,__2__76 underlined is 2 which is at

hundred’s place.

Question 13.

2,735

Answer:

5 – Unit’s place,

Explanation:

Given 2,73__5__ underlined is which is at

unit’s place.

Question 14.

6,208

Answer:

0 – Ten’s place,

Explanation:

Given 6,208 underlined is 0 which is at

ten’s place.