We included **HMH Into Math Grade 5 Answer Key PDF** **Module 13 Decimal Place Value **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 13 Answer Key Decimal Place Value

**Fundraising Directors**

Fundraising directors are responsible for raising money for charities and non-profit organizations to help people in need, work to rescue animals, advocate for environmental issues, and so on. They think of ways to connect with and motivate potential donors. They may use advertisements, email, and letters to ask for donations.

Fundraising directors must also make speeches and attend events. They must also stay up-to-date on current events in order to speak with possible donors.

**STEM Task:**

Play with a partner. Use digit cards (0-9) and the chart on the next page. Choose 12 cards, one at a time, and write the digit in one of the spaces for expenses or donations. Place the digit where it helps the most! Once you place a digit, you may not move it. When all twelve digits are placed, add the donations and subtract the expenses. The player who has the greater total wins. Play again using some of the strategies you learned when playing the first time.

**Learning Mindset Perseverance Checks for Understanding**

It can take time to learn successful strategies for any task, even when the task is a game. When you play any game that requires strategy, reflect on the success of your strategies as you play. Ask yourself: “Do I know why that worked or didn’t work?” Then modify your strategies to improve the result as you play. You can also learn a lot from other players by watching the strategies they use.

**Reflect**

Question 1.

Did you understand the purpose of and directions for the STEM Task? How do you know you understood?

Answer:

Question 2.

Describe the strategies you used to get the greater total.

Answer:

**What is the combination?**

Oh no! You forgot the combination to the bicycle lock. Use the dues to figure out the combination.

Clue 1 The combination is a 4-digit number with all different digits.

Clue 2 The value of the digit in the thousands place is 300 times as much as the value of the digit in the tens place.

Clue 3 The value of the digit in the hundreds place is 20 times as much as the value of the digit in the ones place.

Clue 4 The value of the digit in the tens place is 70 less than the value of the digit in the hundreds place.

Clue 5 The digit with the least place value is 5.

The combination is _________.

Answer:

The combination is 9135

Explanation:

The digit in ones place is 5

The value of the digit in the hundreds place is 20 times as much as the value of the digit in the ones place

So, 5 x 20 = 100

The value of the digit in hundreds place is 100

The value of the digit in the tens place is 70 less than the value of the digit in the hundreds place

So, 100 – 70 = 30

The value of the digit in tens place is 30

The value of the digit in the thousands place is 300 times as much as the value of the digit in the tens place

So, 30 x 300 = 9000

The value of the digit in thousands place is 9000

Expanded form of the number is 9000 + 100 + 30 + 5

So, the number is 9135.

**Turn and Talk**

How did you solve the problem?

Answer:

I kept the clues in order and stated finding the problem using the digit given in ones place.

What are some other clues that use place value that you could write for the same combination?

Answer:

The other clues can be

Clue 1: The value of the digit in tens place is 6 times the value of the digit in ones place

Clue 2: The Value of the digit in hundreds place is 70 more than the value of the digit in ones place

Clue 3: The value of the digit with least place value is 5

Clue 4: The value of the digit in thousands place is 90 times the value of the digit in hundreds place.

**Are You Ready?**

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

**Represent Tenths and Hundredths**

**Write the amount shown as a fraction and as a decimal.**

Question 1.

Fraction: _________

Decimal: _________

Answer:

Fraction: \(\frac{7}{10}\)

Decimal: 0.7

Explanation:

There are 10 parts in whole

7 parts of the whole are shaded

The fraction that represents the shaded part is \(\frac{7}{10}\)

So, the decimal of \(\frac{7}{10}\) is 0.7.

Question 2.

Fraction: _________

Decimal: _________

Answer:

Fraction: \(\frac{38}{100}\)

Decimal: 0.38

Explanation:

There are 100 parts in whole

38 parts are shaded

The fraction that represents the shaded part is \(\frac{38}{100}\)

So, the decimal of \(\frac{38}{100}\) is 0.38.

**Compare Decimals**

**Write <, >, or = to compare the decimals.**

Question 3.

0.6 0.63

Answer:

0.6 0.63

Explanation:

The decimal 0.6 is less than 0.63.

Question 4.

1.40 1.42

Answer:

1.40 1.42

Explanation:

The decimal 1.40 is less than 1.42

Question 5.

2.70 2.7

Answer:

2.70 2.7

Explanation:

The decimal 2.70 is equal to 2.7.

Question 6.

0.58 0.61

Answer:

0.58 0.61

Explanation:

The decimal 0.58 is less than 0.61.

Question 7.

1.22 1.32

Answer:

1.22 1.32

Explanation:

The decimal 1.22 is less than 1.32

Question 8.

3.6 3.5

Answer:

3.6 3.5

Explanation:

The decimal 3.6 is greater than 3.5.

**Equivalent Decimals**

**Write the equivalent decimal in hundredths.**

Question 9.

3.4

Answer:

3.40

Explanation:

The equivalent decimal in hundredths for the decimal 3.4 is 3.40.

Question 10.

2.8

Answer:

2.80

Explanation:

The equivalent decimal in hundredths for the decimal 2.8 is 2.80.

Question 11.

10.1

Answer:

10.10

Explanation:

The equivalent decimal in hundredths for the decimal 10.1 is 10.10.

**Write the equivalent decimal in tenths.**

Question 12.

6.50

Answer:

6.5

Explanation:

The equivalent decimal in tenths for the decimal 6.50 is 6.5.

Question 13.

5.90

Answer:

5.9

Explanation:

The equivalent decimal in tenths for the decimal 5.90 is 5.9.

Question 14.

0.40

Answer:

0.4

Explanation:

The equivalent decimal in tenths for the decimal 0.40 is 0.4.