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

Practicing the Bridges in Mathematics Grade 4 Student Book Answer Key Unit 3 Module 4 will help students analyze their level of preparation.

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

Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Session 1 Answer Key

Decimal & Fraction Relationships

For each fraction below, use base ten pieces to find another fraction name and a decimal name that mean the same amount. Then sketch on the grid to prove you are correct. Be sure to label your sketches with numbers or words.
Fraction Another Fraction Decimal Use the grid to show the fractions and decimals you named are equal.

Question 1.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 1
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-1

Question 2.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 3
Answer:

Question 3.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 4
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-4

Question 4.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 5
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-5

Question 5.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 6
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-6

Question 6.
Put these fractions and decimals on the number line in the correct places:
\(\frac{1}{2}\) \(\frac{1}{4}\) \(\frac{2}{4}\) \(\frac{3}{4}\) \(\frac{1}{10}\) \(\frac{1}{5}\) \(\frac{1}{8}\) 0.5 0.25 0.75
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 7
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-7

Challenge

Hint: If you divide the 10-by-10 grid into 8 equal parts, how many hundredths are in each part?

Question 7.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 8
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-8

Decimals Are Fractions

Question 1.
This large square represents 1 unit.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 9

a. How many tenths are shaded? ________
Answer: 7 (seven)
Total number of  tenths  = 10
Total number of shaded rows = 7
As each row describes one tenth row as there are 7 shaded rows hence there are 7 shaded tenth rows.
Therefore, the number of tenths that shaded are 7.

b. How many hundredths are shaded? _____
Answer:  70
Total number of hundredths = 100
Total number of shaded hundredths = 70
As each square describes one hundredth. There are total hundred squares. And among them total 70 are shaded.
Therefore,  the number of hundredths that are shaded = 70

Question 2.
Complete the table below. As in the picture above, the large square represents 1 unit. The strip represents 1 tenth, and the smallest square represents 1 hundredth.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 10
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-10

Question 3.
Write the decimal name for each fraction.
ex 3\(\frac{6}{100}\) = 3.06

a.
3\(\frac{8}{10}\) =
Answer: 3.8
3\(\frac{8}{10}\) = \(\frac{38}{10}\)
\(\frac{8}{10}\) = 3.8
Therefore, the decimal value for the \(\frac{8}{10}\) is 3.8.

b.
\(\frac{3}{100}\) =
Answer: 0.03
\(\frac{3}{100}\) = 0.03
Therefore, the decimal value for the \(\frac{3}{100}\) is 0.03

c.
2\(\frac{7}{10}\) =
Answer: 2.7
2\(\frac{7}{10}\) = \(\frac{27}{10}\)
2\(\frac{7}{10}\) = 2.7
Therefore, the decimal value for the \(\frac{27}{10}\) is 2.7

d.
1\(\frac{2}{10}\) =
Answer: 1.2
1\(\frac{2}{10}\) = \(\frac{12}{10}\)
1\(\frac{2}{10}\) = 1.2
Therefore, the decimal value for the \(\frac{12}{10}\) is 1.2

e.
1\(\frac{20}{100}\) =
Answer: 1.20
1\(\frac{20}{100}\) = \(\frac{120}{100}\)
1\(\frac{20}{100}\) = 1.20
Therefore, the decimal value for the \(\frac{120}{100}\) is 1.20

f.
2\(\frac{5}{10}\) =
Answer: 2.5
2\(\frac{5}{10}\) = \(\frac{25}{10}\)
2\(\frac{5}{10}\) = 2.5
Therefore, the decimal value for the \(\frac{25}{10}\) is 2.5

g.
2\(\frac{50}{100}\) =
Answer: 2.50
2\(\frac{50}{100}\) =\(\frac{250}{100}\)
2\(\frac{50}{100}\) = 2.50
Therefore, the decimal value for the \(\frac{250}{100}\) is 0.03

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

Work Place Instructions 3E Fractions & Decimals

Each pair of players needs:

  • 2 Fractions & Decimals Record Sheets
  • 1 spinner overlay
  • colored pencils in several different colors

1. Each player spins the fraction spinner one time. The player who spins the larger fraction goes first.
2. Player 1 spins the fraction spinner again and reads aloud the fraction spun.
3. Then, Player 1 converts the fraction to a decimal and colors in the value of the decimal on the base ten mat on her record sheet.
4. Player 1 writes the fraction and the equivalent decimal amount on her record sheet. Player 2 also records Player 1’s fraction and decimal amount on his record sheet.
5. Players take turns spinning and recording until one player’s base ten mat is completely filled.
Players should use a different color to record the results of each turn on their base ten mats.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 11
Kyson OK, Sara, it’s your turn. I’m up to half the mat now—five-tenths. You’re one-tenth ahead of me. I just hope you don’t get a very big fraction this time!
6. If Player 1 is the first to reach or exceed 1.00, Player 2 may take one last turn.
Note Going over 1.00 is allowed.
7. Each player adds up all his decimals and records the total in the decimal column of his record sheet.
8. The player whose total is closest to 1.00, either over or under, wins. Players circle the winner on their record sheets.

Game Variations

A. The winning player must land exactly on 1.00. Going over 1.00 is not allowed. Turns that would make the total exceed 1.00 are skipped.
B. The target total changes to 2.00. Players need to draw another 10 x 10 grid on graph paper for recording the second 1.00.

Using Pictures to Compare Decimals & Fractions

Each grid below is divided into 100 equal squares. Fill in squares to show a picture of each decimal number. Then compare the decimal number to certain fractions using <, > or =.

Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 12
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 13
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-13

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

Ordering Decimals & Fractions

Question 1.
Write the decimal number that is equal to each fraction below.

ex
\(\frac{25}{100}\) = 0.25

a.
\(\frac{5}{10}\) =
Answer: 0.5
\(\frac{5}{10}\) = 0.5
Therefore, the decimal number that is equal to the fraction \(\frac{5}{10}\) = 0.5

b.
\(\frac{50}{100}\) =
Answer: 0.5
\(\frac{50}{100}\) = 0.5
Therefore, the decimal number that is equal to the fraction \(\frac{50}{100}\) = 0.5

c.
\(\frac{75}{100}\) =
Answer: 0.75
\(\frac{75}{100}\) = 7.5
Therefore, the decimal number that is equal to the fraction \(\frac{75}{100}\) = 0.75

d.
\(\frac{1}{4}\) =
Answer: 0.25
\(\frac{1}{4}\) = 0.25
Therefore, the decimal number that is equal to the fraction \(\frac{1}{4}\) = 0.25

e.
\(\frac{1}{2}\) =
Answer: 0.5
\(\frac{1}{2}\) = 0.5
Therefore, the decimal number that is equal to the fraction \(\frac{1}{2}\) = 0.5

f.
\(\frac{3}{4}\) =
Answer: 0.75
\(\frac{3}{4}\) = 0.75
Therefore, the decimal number that is equal to the fraction \(\frac{3}{4}\) = 0.75

g.
\(\frac{10}{10}\) =
Answer: 1
\(\frac{10}{10}\) = 1
Therefore, the decimal number that is equal to the fraction \(\frac{10}{10}\) = 1

Question 2.
Write each decimal number in the box where it belongs.
0.28 0.06 0.92 0.3 0.8 0.6 0.15 0.71
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 14
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-14

a Write the decimal numbers above in order from least to greatest.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 15
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-14

Question 3.
Put the fractions and decimal numbers in the correct places on the number line.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 16
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-16

Question 4.
Put the fractions, mixed numbers, and decimal numbers in the correct places on the number line.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 17
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-17

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

Jared’s Problems

Question 1.
Jared has 3 cookies to share among 5 friends. He says he can divide each cookie into 5 equal parts and give 1 part of each cookie to each friend, and then everyone will have the same amount. Make a labeled sketch to show how much each of the 5 friends will get.
Answer:

Each friend will get 3/5 of  a cookie.
Explanation: Here are the 3 cookies. You can see that if you cut each one into fifths, each friend can have 1/5 from each cookie.

Question 2.
Which equation describes Jared’s thinking? Fill in the bubble to show.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 18 \(\frac{1}{5}\) × \(\frac{3}{5}\) = \(\frac{3}{5}\)
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 18 \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) = 3 × \(\frac{1}{5}\) = \(\frac{3}{5}\)
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 18 3 + \(\frac{1}{5}\) = \(\frac{3}{5}\)
Answer: \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) = 3 × \(\frac{1}{5}\) = \(\frac{3}{5}\)
Each friend will get 3/5 of  a cookie.
Explanation: Here are the 3 cookies. You can see that if you cut each one into fifths, each friend can have 1/5 from each cookie.

Question 3.
Place the decimals in their correct places on the number line.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 19
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-19

Question 4.
Fill in the blanks.
a.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 20
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-20
Therefore, the fractions that are equal are \(\frac{8}{10}\) = \(\frac{80}{100}\)

b.
Bridges in Mathematics Grade 4 Student Book Unit 3 Module 4 Answer Key 21
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-3-Module-4-Answer-Key-21
Therefore, the fractions that are equal are \(\frac{3}{10}\) = \(\frac{30}{100}\)

Question 5.
Write these fractions as decimals.

a.
\(\frac{35}{100}\) = ____
Answer: 0.35
\(\frac{35}{100}\) = 0.35
Therefore, the decimal number that is equal to the fraction \(\frac{35}{100}\) = 0.35

b.
\(\frac{7}{100}\) = ____
Answer: 0.07
\(\frac{7}{100}\) = 0.07
Therefore, the decimal number that is equal to the fraction \(\frac{7}{100}\) = 0.07

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