Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 1 Answer Key

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Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 3 Module 1

Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 1 Session 2 Answer Key

Finding Equivalent Expressions

Question 1.
Match each fraction expression on the top with an equivalent decimal expression on the bottom.
Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 1 Answer Key 1
Answer:
Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 1 Answer Key

Explanation:
Given from the above table matched the fraction expression on the top with equivalent decimal expression on the bottom.

Question 2.
Evaluate each expression. Represent your answer as both a fraction and a decimal.

a. 0.60 – 0.25
Answer:
Fraction expression : \(\frac{35}{100}\) and Decimal expression : 0.35,

Explanation:
Given from the above expression 0.60 – 0.25  we get  0.35  that is 0.60 – 0.25 = 0.35 which is decimal expression and 0.35 can be written as 35/100 which is fraction expression respectively.

b. 0.70 – 0.55
Answer:
Fraction expression : \(\frac{15}{100}\) and Decimal expression : 0.15,

Explanation:
Given from the above expression 0.70 – 0.55 we  get 0.15 that is 0.70 – 0.55 = 0.15 which is decimal expression and 0.15 can be written as 15/100 which is fraction expression respectively.

c. 0.2 + 0.05
Answer:
Fraction expression : \(\frac{25}{100}\) and Decimal expression : 0.25.

Explanation:
Given from the above expression 0.2+0.05 we get 0.25 that   is  0.2 + 0.05 = 0.25 which is decimal expression and 0.25 can be written  as 25/100 which is fraction expression.

d. \(\frac{40}{100}\) – \(\frac{1}{10}\)
Answer:
\(\frac{30}{100}\),

Explanation:
Given from the above fraction expression first convert them into decimal expression  and then subtract that is  40/100=0.40  and 1/10 = 0.1 therefore 0.40 – 0.1 = 0.30 which can be written as 30/100.

e. \(\frac{4}{10}\) + \(\frac{60}{100}\)
Answer:
1,

Explanation:
Given from the above fraction expression first convert them into decimal expression and then add  that is 4/10 = 0.4 and 60/100=0.60  therefore 0.4 + 0.60 = 1.

f. \(\frac{9}{10}\) + \(\frac{30}{100}\)
Answer:
\(\frac{120}{100}\),

Explanation:
Given from the above fraction expression first convert them into decimal expression and then add that is 9/10 = 0.9 and 30/100 = 0.30 therefore 0.9 + 0.30 = 1.20 which can be written as 120/100.

Question 3.
Students at Jonah’s school can walk or run laps at recess. At the end of each month, the class that has covered the most distance is recognized by the parent group.

a. Jonah and Hayley walked 4\(\frac{1}{3}\) laps around the track yesterday and 3\(\frac{1}{2}\) laps today. How many laps did they walk together in the last two days? Show your work.
Answer:
7\(\frac{5}{6}\),

Explanation:
Given that fraction of laps walked around track yesterday is  4(1/3)=13/3 and fraction of laps walked today is 3(1/2) = 7/2 ,
fraction of laps walk together in last 2 days are 7\(.
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-3-Module-1-Answer-Key-img-2

b. Jonah ran 1[latex]\frac{3}{4}\) laps on Monday, 2\(\frac{3}{10}\) laps on Tuesday, and 6\(\frac{1}{5}\) laps on Wednesday. How much farther did he run on Wednesday than on the other two days combined? Show your work.
Answer:
2\(\frac{3}{20}\),

Explanation:
Given that fraction of laps ran on Monday is 1x(3/4)=7/4, fraction of laps ran on Tuesday is 2x(3/10)=23/10 and fraction of laps ran on Wednesday is 6x(1/5)=31/5 so, first combine the fraction of laps ran on Monday and Tuesday and subtract from fraction of laps ran Wednesday that is ,
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-3-Module-1-Answer-Key-img-3.jpg

Question 4.
Jonah and Hayley made brownies to bring as a class treat. Some were plain and some had sprinkles. The class ate \(\frac{3}{4}\) of one pan and \(\frac{1}{6}\) of another pan of the plain brownies. They ate \(\frac{5}{6}\) of one pan and \(\frac{1}{10}\) of another pan of brownies with sprinkles.

a. If the brownie pans were the same size, did the class eat more plain brownies or more brownies with sprinkles?
Answer:
Class ate more brownies with sprinkles.

Explanation:
Given fraction of plain  brownies ate by class in first and second pans are 3/4 and 1/6 ,fraction of brownies with sprinkles ate by class  in first and second pans are 5/6 and 1/10 so, to find which brownies ate more by class first add first and second pan of plain brownies and brownies with sprinkles  that is ,
Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-3-Module-1-Answer-Key-img-4.jpg
56/60 is greater so, class ate more brownies with sprinkles.

b. How much more? Show your work.
Answer:
\(\frac{1}{60}\),

Explanation:
As we know that fraction of plain brownies are 55/60 ,fraction of brownies with sprinkles are 56/60 so,
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-3-Module-1-Answer-Key-img-5.jpg

Question 5.
CHALLENGE A coach took his team out for pizza after their last game. There were 14 players, so they had to sit in smaller groups at different tables. Six players sat at one table and got 4 small pizzas to share equally. The other 8 players sat at a different table and got 6 small pizzas to share equally. Afterwards, one of the players said it wasn’t fair because some kids got more pizza than others. Do you agree? Use numbers, words, or labeled sketches to explain your answer.
Answer:
Yes some kids get more pizza than others,

Explanation:
Given total number of players are 14 fraction of six players got 4 small pizzas are 4/6 and fraction of 8 players got 6 small pizzas are 6/8 so, therefore
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-3-Module-1-Answer-Key-img-6.jpg

Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 1 Session 4 Answer Key

Candy Sales Graph & More

The organizers of a concession stand were thinking about making changes to the types of candy they sold. They made a bar graph to show the profits earned at the first two games of the season for each type of candy. Use the graph to answer the questions below. Show your work.

Question 1.
Look at the information for bubble gum.
Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 1 Answer Key 2

a. What was the profit for bubble gum during Game 1?
Answer:
$1.75,

Explanation:
Given from the above bar graph the profit earned for bubble gum during game 1 is $1.75.

b. What was the profit for bubble gum during Game 2?
Answer:
$3.5,

Explanation:
Given from the above bar graph the profit earned for bubble gum during game 2 is $3.5.

c. How much more profit was made on bubble gum during Game 2 than Game 1?
Answer:
$1.75,

Explanation:
Given from the above bar graph profit was made on bubble gum during game 2 than game 1 is $3.5 – $1.75 = $1.75.

Question 2.
How much more profit was made on hard candy during Game 2 than Game 1?
Answer:
$3.75,

Explanation:
Given from the above bar graph profit earned on hard candy during game 1 is $4.25 and profit earned during game 2 is $8.00 so, profit was made on hard candy during game 2 than game 1 is $8.00 – $4.25 = $3.75.

Question 3.
How much more profit was made on sour strings during Game 2 than Game 1?
Answer:
$5.50,

Explanation:
Given from above bar graph profit earned by sour strings during game 1 is  $2.75 and profit earned during game 2 is $8.25 so, profit was made on sour strings during game 2 than game 1 is $8.25 – $2.75 = $5.50.

Question 4.
How much greater was the profit from sales of all three candies during Game 2 than during Game 1?
Answer:
$11.00,

Explanation:
Given from the above bar graph profits of all three candies during game 1 are $1.75 + $4.25 + $2.75 = $8.75 and profit earned of all three candies during game 2 is $3.50 + $8.00 + $8.25 = $19.75 so, $19.75 – $8.75 = $11.00. therefore $11.00 profit is greater during game 2 than game 1.

Question 5.
Evaluate (solve) the following:

a. (12 × 5) × 2
Answer:
120,

Explanation:
Given from above expression first multiply the brackets that is (12 X 5)=60 and then multiply to other number that is 60 X 2 =120.

b. 10 × (24 ÷ 4)
Answer:
60,

Explanation:
Given from above expression firstly solve the brackets that is (24/4)=6 and then multiply to 10 that is 10 X 6 = 60.

c. (150 ÷ 10) + (5 × 5)
Answer:
40,

Explanation:
Given from above expression firstly solve the brackets one and then add  that is , Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-3-Module-1-Answer-Key-img-7.jpg.

Question 6.
Trina said $1.05 + $2.25 = $3.75 because a dollar and 2 quarters plus 2 dollars and a quarter equals 3 dollars and 3 quarters. Do you agree with her statement? Explain.
Answer:
No I do not agree.

Explanation:
I do not agree because adding money is same as adding regular numbers /decimals . $1.05 + $2.25 is actually $3.30 unlike the second equation which is correct .

Question 7.
Evaluate (solve) the following:

a. 1.37 + 8.26
Answer:
9.63,

Explanation:
Given from above decimal expression by adding them we get , 1.37 + 8.26 = 9.63.

b. 5.01 + 5.10
Answer:
10.11,

Explanation:
Given from above decimal expression by adding them we get 5.01 + 5.10 = 10.11.

Question 8.
CHALLENGE A box holds 540 balls. Each layer has 18 balls. How many layers does the box have?
Answer:
30 layers ,

Explanation:
Given total number of balls a box holds are 540 and number of balls contains 1 layer is 18 balls that is number of does the box have is 540/18 = 30 layers.

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