Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key

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Bridges in Mathematics Grade 5 Student Book Answer Key Unit 3 Module 2

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 1 Answer Key

Decimal Grid

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 1
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 1

Thinking About Thousandths

Question 1.
Label each digit in the numbers below with its place value name. The first one is done for you as an example.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 2
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-2

Question 2.
Complete the chart below.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 3
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-3
0.540 can be written in the word form as fifty-four hundredths.
11.07 can be written in the word form as eleven and seven hundredths.
One and four hundred twenty-nine thousandths can be written in decimal form as 1.429
7.005 can be written in the word form as seven and five thousandths.
zero and four thousandths can be written in decimal form as 0.004

Question 3.
Mr. Mugwump is confused. He doesn’t know which is more, 5.200 or 5.002. Draw or write something that will help him understand which number is greater and why.
Answer:
Mr. Mugwump is confused. He doesn’t know which is more, 5.200 or 5.002.
tenth place will be greater than thousandth place.
So, 5.200 > 5.002

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 2 Answer Key

Work Place Instructions 3B Draw & Compare Decimals

Each pair of players needs:

  • 1 deck of Number Cards, 10s and wild cards removed
  • 1 spinner overlay
  • a 3B Draw & Compare Decimals Record Sheet to share
  • 2 pencils

1. Decide who will be Player 1 and who will be Player 2.

2. Remove the 10s and wild cards from the deck of Number Cards, if necessary.

3. One player spins the more or less spinner and circles either more or less for Round 1 on the record sheet.

4. Player 1 draws five Number Cards and records the digits on the “Number Cards I drew” line of the record sheet. A wild card may represent any digit, 0-9.

5. Player 1 uses three of the digits to make either the largest or smallest decimal possible, as determined by the more or less spinner.

  • Then Player 1 reads the decimal aloud to his partner.
  • Player 1 records his decimal on the record sheet and returns the three used cards to the bottom of the deck. The two unused cards will be needed by Player 2.

6. Player 2 draws three new digit cards and records them, along with the two cards remaining after Player 1’s turn, on the “Number Cards I drew” line of the record sheet.

7. Player 2 uses three of the digits to make either the largest or smallest decimal possible, as determined by the more or less spinner.

  • Then Player 2 reads the decimal aloud to her partner.
  • Player 2 records her decimal on the record sheet and returns the three used cards to the bottom of the deck. The two unused cards will be needed by Player 1.

8. The player with the greatest or least 3-digit decimal, as determined at the beginning of the game, wins the round and circles her decimal on the record sheet.

9. Play continues for five rounds. The winner of the game is the player who wins the most rounds.

Game Variations
A. Players each draw three Number Cards instead of five, and use those three to build the largest or smallest decimal possible.

B. Players determine how much larger or smaller their decimal is compared to their partner’s.
Answer:

Playing Draw & Compare Decimals

Question 1.
Carmen is playing Draw & Compare Decimals with her partner. Carmen drew 4, 7, 6, 0, and 2 and has to use three of the cards to make a decimal number less than 1.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 4
a. If they are playing for “more,” what decimal should Carmen make?
Answer:
Given,
Carmen is playing Draw & Compare Decimals with her partner. Carmen drew 4, 7, 6, 0, and 2 and has to use three of the cards to make a decimal number less than 1.
To make a decimal from the number drawn if they are playing for more the 2 highest digits are used and arranged in descending order after the decimal point.
7, 6 = 0.76

b. If they are playing for “less,” what decimal should Carmen make?
Answer:
The first digit should be 0
If they are playing for less, then the last 2 digits will be used in ascending order after the decimal point.
2, 4 = 0.24

Question 2.
James and Ryan are also playing Draw & Compare Decimals. They are playing for less, and James made the decimal 0.149 with his digit cards.
a. Ryan drew the following cards: 5, wild card, 0, 7, and 2. Does Ryan need to use his wild card to win the round?
Answer:
Given,
James and Ryan are also playing Draw & Compare Decimals. They are playing for less, and James made the decimal 0.149 with his digit cards.
Ryan drew the following cards: 5, wild card, 0, 7, and 2.
The smallest number that formed by 5, 0, 7, 2 is 0.257
0.257 > 0.149
He needs to use his wildcard to win the round.

b. List two decimals that Ryan could create to win the round.
Answer:
0.527 and 0.275 are two decimals that Ryan could create to win the round.

Question 3.
Shawn and Jane are playing Draw & Compare Decimals and are playing for more. Shawn made 0.879 and Jane made 0.987. Both students say they won the round.
a. Who is correct?
Answer:
Jane made more than Shawn. Jane won the round.

b. Explain how you know.
Answer:
0.987 is greater than 0.879

Question 4.
Find the sums. Show your thinking.
a. $57.99 + $14.25
Answer:
$57.99 + $14.25 = $72.24

b. $23.45 + $19.99
Answer:
$23.45 + $19.99 = $43.44

c. $1,689 + $145
Answer:
$1,689 + $145 = $1834

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 3 Answer Key

Work Place Instructions 3C Round & Add Tenths

Each pair of players needs:

  • a 3C Round & Add Tenths Record Sheet to share
  • colored pencils, 1 red and 1 blue
  • 2 regular pencils
  • 1 die numbered 0-5
  • 1 die numbered 4-9

1. Players take turns rolling one of the dice. The player with the higher number is the Red Player.
• The Red Player goes first and will record his numbers in red.
• The other player is the Blue Player and will record her numbers in blue.

2. The Red Player rolls both dice and decides which number to put in the ones place and which to put in the tenths place.

  • The Red Player records the decimal number he made in red under the whole number to which it rounds.
    Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 5

3. The Blue Player rolls both dice and then decides which number to put in the ones place and which to put in the tenths place.

  • The Blue Player records the decimal number she made in blue under the whole number to which it rounds.

4. Players continue taking turns.

  • Each whole number box can only be used once.
  • If a player cannot make a number that rounds to an unclaimed whole number, that turn is lost.

5. Once all the whole numbers are claimed, players predict who will have the largest score.

6. Players add and compare their scores. They circle the highest score on the record sheet to indicate the winner.

Game Variations
A. Each player rolls the dice for herself, but her partner chooses which digit goes in the ones place and which goes in the tenths place.

B. Players roll three dice and make numbers in the hundredths place to play “Roll & Add Hundredths.”
Answer:

Model, Add & Subtract Decimals

Question 1.
Write an expression to match each model.
a. Model:
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 6
Expression: ________________
Answer:
100 + 10 + 10 + 10 = 130
10 + 10 + 10 + 10 + 10 + 10 + 10 + 3 + 3 + 3 = 76
130 + 76 = 206

b. Model:
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 7
Expression: ________________
Answer:
100 + 1 + 1 + 1 = 103
10 + 10 + 10 + 10 + 10 + 10 + 10 + 3 + 3 + 3 = 76
103 + 76 = 179

c. Model:
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 8
Expression: ________________
Answer:
100 + 100 + 4 = 204
100 + 2 + 2 + 2 = 106
204 – 106 = 98

d. Model:
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 9
Expression: ________________
Answer:
100 + 100 + 4 = 204
100 + 2 + 2 + 2 = 106
204 – 106 = 98

Question 2.
Carl has two dogs. They are black Labrador retrievers. The male weighs 31.75 kg and the female weighs 29.48 kg.
a. How much heavier is the male than the female? Show your work.
Answer:
Given,
Carl has two dogs. They are black Labrador retrievers. The male weighs 31.75 kg and the female weighs 29.48 kg.
31.75 – 29.48 = 2.27 kg

b. How much do they weigh together? Show your work.
Answer:
Given,
Carl has two dogs. They are black Labrador retrievers. The male weighs 31.75 kg and the female weighs 29.48 kg.
31.75 + 29.48 = 61.23 kg

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 4 Answer Key

Work Place Instructions 3D Target One

Each pair of players needs:

  • a 3D Target One Record Sheet for each player
  • 1 deck of Number Cards
  • math journals
  • 2 pencils

1. Player 1 goes first and Player 2 is the dealer. Player 2 passes out six cards to each player.

2. Player 1 chooses four cards to make two decimal numbers to hundredths.

3. Player 1 adds the two numbers in her math journal, trying to get as close as possible to the target of 1. Each card can only be used once.

4. Player 1 explains how she added the two numbers and then writes an equation with the numbers and their sum on the record sheet.
Player 2 checks the sum.

5. Player 1 figures her score by finding the difference between the sum and 1. Both players record Player 1’s score on their own record sheets.
A sum of 0.96 has a score of 0.04. A sum of 1.07 has a score of 0.07. A sum of 1.00 has a score of 0.

6. Then Player 2 takes a turn and Player 1 checks his work.

7. At the end of each turn, players put all the used cards face up in a discard stack and deal out four new cards to each player so that both have six cards again.

8. Players continue to take turns.

9. After five rounds, players add their scores to determine the winner. The lower score wins the game.

Game Variations
A. Players add wild cards to their deck of Number Cards. A wild card can be any numeral 0-9. If a wild card is used, players put a star above the number made from the wild card in the equation on the record sheet.

B. Sums below 1 get a negative score. Sums above 1 get a positive score. Players add those scores together and the final score closest to 0 wins.

C. Play Target One with numbers in the thousandths place instead of the tenths place, using all 6 cards.
Answer:

Working with Decimals

Question 1.
Label each digit in the numbers below with a multiplication expression that shows its place value. The first one is done for you as an example.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 10
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-10

Question 2.
Round each of the numbers in problem 1 to the nearest tenth and nearest hundredth. The first one is done for you as an example.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 11
Answer:
32.537:
You rounded to the nearest hundredths place. The 3 in the hundredths place rounds up to 4 because the digit to the right in the thousandths place is 7.
32.537 to the nearest hundredth is 32.54
32.537 to the nearest tenth is 32.5

2.175:
2.175 to the nearest hundredth is 2.18
2.175 to the nearest tenth is 2.2

61.394:
61.394 to the nearest hundredth is 61.39
61.394 to the nearest tenth is 61.4

236.924:
236.924 to the nearest hundredth is 236.92
236.924 to the nearest tenth is 236.9
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-11

Question 3.
Complete the chart.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 12
Answer:
0.639 = six hundred thirty nine thousandths
1.613 as fraction can be written as 1613/1000
12.067 = twelve and sixty seven thousandths
12.067 as a fraction can be written as 12067/1000
two and three hundred sixty five thousandths = 2.365
2.365 as a fraction can be written as 2365/1000
zero and five thousandths = 0.005
9.004 = nine and four thousandths
0.005 as a fraction can be written as 5/1000
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-12

Question 4.
Compare the pairs of decimals. Fill in each blank with < , >, or =.
a. 25.04 _____________ 25.4
Answer:
25.04 = 2504/100
25.4 = 254/10
25.04 < 25.4

b. 67.250 _____________ 67.205
Answer:
67.250 = 67250/1000
67.205 = 67205/1000
67.250 < 67.205

c. 11.110 ______________ 11.011
Answer:
11.110 = 11110/1000
11.011 = 11011/1000
11.110 < 11.011

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 5 Answer Key

Fractions & Decimals Chart

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 13
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-13

Decimal Grid

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 14
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 14

Fractions, Decimals & Money

Question 1.
Fill in the chart. Use any tools to help except a calculator. The first row has been completed as an example.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 15
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-15

Question 2.
How would you write 0.35 as:
a. a fraction?
Answer:
0.35 as a fraction can be written as \(\frac{35}{100}\)

b. in dollars and cents notation?
Answer:
0.35 in dollars can be written as $0.35 and in cents as 35¢

Question 3.
How would you write $0.60:
a. as a fraction?
Answer:
0.60 as a fraction can be written as \(\frac{60}{100}\)

b. as a decimal?
Answer:
0.60 in dollars can be written as $0.60 and in cents as 60¢

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 6 Answer Key

Decimal Practice

Question 1.
Practice adding decimals by playing this game. Please don’t use a calculator. If you can get the answers in your head, that’s fine. If you need to do some paper and pencil work, show your work next to the game board.
a. Choose 2 numbers from the box at the right and add them.
b. Circle the sum of the numbers on the game board.
c. Try to find four sums in a row, column, or diagonal.
d. There is one number on the board that is a mistake. As you play, see if you can tell which number is the mistake and circle it. The sooner you find it, the easier it will be to get four in a row!
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 16
Answer:
0.5 + 2.76 = 3.26
3.12 + 2.4 = 5.52
4.05 + 4 = 8.05
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-16

Question 2.
Write four decimal numbers that have an even digit in the tenths place, an odd digit in the hundredths place, and an even number in the thousandths place.
Answer:
3.216, 5.838, 6.436, 3.652

Question 3.
Put the decimals you wrote for problem 2 in order from least to greatest.
___________ < ___________ < ___________ < ___________
Answer:
6.436 < 5.838 < 3.652 < 3.216

Question 4.
Write the four decimals using number names (words).
Answer:
3.216 in words can be written as three and two hundred sixteen thousandths.
5.838 in words can be written as five and eight hundred thirty-eight thousandths.
6.436 in words can be written as six and four hundred thirty six thousandths.
3.652 in words can be written as three and six hundred fifty two thousandths.

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Session 7 Answer Key

Decimals on a Number Line

Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 17

Question 1.
Use a base ten linear piece to locate and mark these decimals on the number line. Write the numbers above the line.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 18
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-18

Question 2.
Mark and label the approximate locations of these decimals on the number line. Write the numbers below the line.
0.25 0.75 0.62 1.55 0.04 1.91 1.08 1.69
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-18

Question 3.
Continue to use a base ten linear piece to help you determine which numbers on the number line are:
a. between \(\frac{1}{2}\) and \(\frac{9}{10}\): _________, __________, ___________
Answer:
\(\frac{1}{2}\) can be written in the base ten form as \(\frac{5}{10}\)
\(\frac{6}{10}\), \(\frac{7}{10}\), \(\frac{8}{10}\)

b. closest to but not equal to 0.7: _____________
Answer:
The number closest to but not equal to 0.7 is 0.6

c. between 0.9 and 1.2: ______________
Answer:
The decimal number between 0.9 and 1.2 and 1.0

d. less than \(\frac{1}{2}\): __________, ___________, ___________, ___________
Answer:
The fraction less than \(\frac{1}{2}\) is \(\frac{1}{3}\), \(\frac{1}{4}\), \(\frac{1}{5}\), \(\frac{1}{6}\)

e. less than 1\(\frac{3}{4}\) but greater than 1\(\frac{1}{5}\): __________, ___________, ___________
Answer:
less than 1\(\frac{3}{4}\) but greater than 1\(\frac{1}{5}\) is 1\(\frac{1}{2}\), 1\(\frac{1}{4}\), 1\(\frac{3}{4}\), 1\(\frac{2}{5}\)

Round, Add & Subtract Decimals

Question 1.
Round each decimal number to the nearest whole number.
a. 2.6
b. 3.35
c. 17.8
Answer:
a. 2.6
You rounded to the nearest ones place. The 2 in the ones place rounds up to 3 because the digit to the right in the tenths place is 6.
2.6 to the nearest whole number is 3.
b. 3.35
You rounded to the nearest ones place. The 3 in the ones place rounds down to 3, or stays the same, because the digit to the right in the tenths place is 3.
3.35 to the nearest whole number is 3.
c. 17.8
You rounded to the nearest ones place. The 7 in the ones place rounds up to 8 because the digit to the right in the tenths place is 8.
17.8 to the nearest whole number is 18.

Question 2.
Round each decimal number to the nearest tenth.
a. 0.15
b. 0.72
c. 2.03
Answer:
a. 0.15
You rounded to the nearest tenths place. The 1 in the tenths place rounds up to 2 because the digit to the right in the hundredths place is 5.
0.15 to the nearest tenth is 0.2
b. 0.72
You rounded to the nearest tenths place. The 7 in the tenths place rounds down to 7, or stays the same, because the digit to the right in the hundredths place is 2.
0.72 to the nearest tenth is 0.7
c. 2.03
You rounded to the nearest tenths place. The 0 in the tenths place rounds down to 0, or stays the same, because the digit to the right in the hundredths place is 3.
2.03 to the nearest tenth is 2.0

Question 3.
CHALLENGE Round each decimal number to the nearest hundredth.
a. 0.678
b. 3.196
c. 0.997
Answer:
a. 0.678
You rounded to the nearest hundredths place. The 7 in the hundredths place rounds up to 8 because the digit to the right in the thousandths place is 8.
0.678 to the nearest hundredth is 0.68
b. 3.196
You rounded to the nearest hundredths place. The 9 in the hundredths place rounds up to 10 because the digit to the right in the thousandths place is 6.
3.196 to the nearest hundredth is 3.20
c. 0.997
You rounded to the nearest hundredths place. The 9 in the hundredths place rounds up to 10 because the digit to the right in the thousandths place is 7.
0.997 to the nearest hundredth is 1.00

Question 4.
Solve.
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 2 Answer Key 19
Answer:
Bridges-in-Mathematics-Grade-5-Student-Book-Unit-3-Module-2-Answer-Key-19
By adding 1.43 and 2.58 we get 4.01
By subtracting 3.26 from 5.99 we get 2.73
By adding 3.09 and 2.67 we get 5.76

Question 5.
Solve.
16.03 – 12.42 = _____________
10.18 + 15.07 = _____________
99.99 – 3.79 = ______________
Answer:
16.03 – 12.42 = 3.61
By subtracting 12.42 from 16.03 we get 3.61
10.18 + 15.07 = 25.25
By adding 10.18 and 15.07 we get 25.25
99.99 – 3.79 = 96.20
By subtracting 3.79 from 99.99 we get 96.20

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