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## Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 7 Module 4

**Bridges in Mathematics Grade 5 Home Connections Unit 7 Module 4 Session 2 Answer Key**

**Olympic Swimmers**

For each problem, first estimate the answer and then solve the problem. Show your thinking using words, numbers, or labeled sketches.

Question 1.

In the 2012 Olympics, U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If Nathan swam at the same pace in a regular 25-meter pool, what would his time have been per lap?

Estimate _______________

Answer:

Estimate: 48 seconds,

The time have been per lap is 47.52 seconds,

Explanation:

Given in the 2012 Olympics, U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If Nathan swam at the same pace in a regular 25-meter pool, would his time have been per lap is also 47.52 seconds only because Nathan swam at the same pace therefore estimate near to 47.52 seconds is 48 seconds and the time have been per lap is 47.52 seconds for 25-meter pool.

Question 2.

Dana Vollmer set a world record in the 100-meter butterfly finals in London. Her time was 55.98 seconds. If Dana swam at the same pace in a 25-meter pool, what would her time be per lap?

Estimate _______________

Answer:

Estimate: 56 seconds,

Dana Vollmer time per lap is 55.98 seconds,

Explanation:

Given Dana Vollmer set a world record in the 100-meter butterfly finals in London. Her time was 55.98 seconds. If Dana swam at the same pace in a 25-meter pool her time be per lap estimate would be approximately 56 seconds and her time have been per lap is same 55.98 seconds.

Question 3.

Missy Franklin competed in seven Olympic swimming events and posted five gold medals in London. Her time in the 100-meter backstroke was 58.33 seconds. If Missy swam at the same pace in a 25-meter pool, what would her time be per lap?

Estimate _______________

Answer:

Estimate : 58 seconds,

Explanation:

Given Missy Franklin competed in seven Olympic swimming events and posted five gold medals in London. Her time in the 100-meter backstroke was 58.33 seconds. If Missy swam at the same pace in a 25-meter pool, her time be per lap estimate is approximately 58 and it is 58.33 seconds only.

Question 4.

In London in 2012, Michael Phelps won a gold medal for the 100-meter butterfly with a time of 51.21 seconds. If Michael had been swimming that event in a 25-meter pool, what would his time have been per lap?

Estimate _______________

Answer:

Estimate: 51 seconds,

His time per lap is 51.21 seconds for 25-meter pool,

Explanation:

Given in London in 2012, Michael Phelps won a gold medal for the 100-meter butterfly with a time of 51.21 seconds. If Michael had been swimming that event in a 25-meter pool, So would his time have been per lap estimate is approximately 51 seconds and his time per lap is 51.21 seconds for 25-meter pool.

Question 5.

**CHALLENGE** In the men’s 400-meter relay, each of 4 team members swims a 100-meter leg for a total of 400 meters swum. One team swam the relay with a total time of 3 minutes and 29.32 seconds.

a. If each of the four members of the team posted the same time, what would their individual times be? (Hint: Think about how long it took the swimmers to swim each leg of the relay.)

Estimate _______________

Answer:

Estimate: 29 seconds for all 4 members,

Individual times is 29.32 seconds,

Explanation:

Given in the men’s 400-meter relay, each of 4 team members swims a 100-meter leg for a total of 400 meters swum. One team swam the relay with a total time of 3 minutes and 29.32 seconds. If each of the four members of the team posted the same time it would their individual times be (29.32 seconds + 29.32 seconds + 29.32 seconds + 29.32 seconds)/4 = 29.32 seconds only and the estimate time for individual will be approximately 29.32 seconds.

b. An Olympic pool is 50 meters long, so in the 400-meter relay, each team member swims two 50-meter laps. If each member of this team swam their first lap just as fast as their second lap, how long did it take to swim each lap?

Estimate _______________

Answer:

Estimate: 50 meters,

To swim each lap it took 50 meters,

Explanation:

Given an Olympic pool is 50 meters long, so in the 400-meter relay, each team member swims two 50-meter laps. If each member of this team swam their first lap just as fast as their second lap long did it take to swim each lap is estimate approximately 50 meters so it is 50 meters only.

**Bridges in Mathematics Grade 5 Home Connections Unit 7 Module 4 Session 3 Answer Key**

**Olympic Track Star**

**Solve each problem. Show your thinking using words, numbers, or labeled sketches.**

Question 1.

Usain Bolt won three gold medals in the Track and Field events in the 2012 Olympics in London. His times are posted below.

a. Usain ran the 200-meter race in 19.32 seconds. If he ran 100 meters at that speed, what would his 100 meter time be?

Answer:

9.63 seconds,

Explanation:

Given Usain Bolt won three gold medals in the Track and Field events in the 2012 Olympics in London if Usain ran the 200-meter race in 19.32 seconds. If he ran 100 meters at that speed, By seeing the table given above would his 100 meter time is 9.63 seconds.

b. In the 4 × 100-meter relay, four runners each run a 100-meter leg. The Jamaican team ran the relay with a time of 36.84. If all four legs took the same amount of time to run, how long would one leg have taken?

Answer:

Time of 9.21,

Explanation:

Given in the 4 × 100-meter relay, four runners each run a 100-meter leg. The Jamaican team ran the relay with a time of 36.84. If all four legs took the same amount of time to run long would one leg have taken is 36.84/4 = 9.21.

c. In practice, the first leg of a relay takes longer to run than the others because the first runner must start the race from a still position. If the first leg of the Jamaican team’s relay took 9.72 seconds of the total time, but the other 3 legs were all equal, what was the time for one of the later legs?

Answer:

The time for one of the later legs is 9.04,

Explanation:

As in practice, the first leg of a relay takes longer to run than the others because the first runner must start the race from a still position. If the first leg of the Jamaican team’s relay took 9.72 seconds of the total time, but the other 3 legs were all equal the time for one of the later legs is (36.84 – 9.72)/3 = 27.12/3= 9.04 respectively.

Question 2.

Divide each number. Show your work.

9.6 ÷ 10 = ________________

9.6 ÷ 100 = ________________

16.08 ÷ 10 = ________________

16.08 ÷ 20 = _______________

132.22 ÷ 10 = _______________

132.22 ÷ 100 = ______________

78.2 ÷ 10 = ______________

78.2 ÷ 20 = ______________

Answer:

9.6 ÷ 10 = 0.96,

9.6 ÷ 100 = 0.096,

16.08 ÷ 10 = 1.608,

16.08 ÷ 20 = 8.04,

132.22 ÷ 10 = 13.222,

132.22 ÷ 100 = 1.3222,

78.2 ÷ 10 = 7.82,

78.2 ÷ 20 = 3.91,

Explanation:

Divided the given numbers as 9.6 ÷ 10 = 0.96, 9.6 ÷ 100 = 0.096, 16.08 ÷ 10 = 1.608, 16.08 ÷ 20 = 8.04, 132.22 ÷ 10 = 13.222, 132.22 ÷ 100 = 1.3222, 78.2 ÷ 10 = 7.82, 78.2 ÷ 20 = 3.91 respectively.

Question 3.

Compare what happens to the quotient when you divide by 10 and by 100.

Answer:

For 10 one place value to the left for 100 we move the decimal place two places to the left.,

Explanation:

The process for dividing by 100 is very similar to the one used when dividing by 10. Instead of moving the decimal point one place value to the left, we move the decimal place two places to the left.

Question 4.

Compare what happens to the quotient when you divide by 10 and by 20.

Answer:

For 10 one place value to the left for 20 by 2 first then by 10,

Explanation:

When dividing by 10 moving the decimal point one place value to the left, dividing by 20 first we divide by 2 and then the obtained quotient is divided by 10 accordingly.

Question 5.

Kary and Val were solving the following problem: $12.55 ÷ 5. Kary wrote $25.10 as her answer. Val wrote $2.51. Who is right? How do you know?

Answer:

Val wrote correctly, by checking we know who is right,

Explanation:

Given Kary and Val were solving the following problem: $12.55 ÷ 5. Kary wrote $25.10 as her answer. Val wrote $2.51 upon checking

5)$12.55($2.51

10

2.55

2.50

0.05

0.05

0 So as answer is $2.51 Val wrote correctly.