Students looking for the Bridges in Mathematics Grade 5 Student Book Answer Key Unit 3 Module 3 can find a better approach to solve the problems.
Bridges in Mathematics Grade 5 Student Book Answer Key Unit 3 Module 3
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 3 Session 1 Answer Key
Memory Bytes
Use the information below to help you with the problems that follow.
- 1 gigabyte (GB) is equal to 1,000 megabytes (MB).
- 1 megabyte (MB) is equal to 1,000 kilobytes (KB).
- 1 kilobyte (KB) is equal to 1,000 bytes.
Paula downloaded some music to her new MP3 player.
Question 1.
She downloaded one song that was 3.82 MB and another song that was 2.69 MB.
a. How many megabytes of memory do the two songs use?
Answer:
Given,
She downloaded one song that was 3.82 MB and another song that was 2.69 MB.
3.82 MB + 2.69 MB = 6.51 MB
b. How many kilobytes of memory do Paula’s two songs use?
Answer:
1 megabyte (MB) is equal to 1,000 kilobytes (KB).
6.51 MB = 6.51 × 1000 = 6510 KB
c. How many bytes do Paula’s two songs use?
Answer:
1 kilobyte (KB) is equal to 1,000 bytes.
6510 KB = 6510 × 1000 = 6510000 bytes
Question 2.
The next day, Paula downloaded more songs. Once she was finished, her MP3 player said it had 23.15 MB of memory used.
a. How many megabytes did the new songs use?
Answer:
Given,
The next day, Paula downloaded more songs.
Once she was finished, her MP3 player said it had 23.15 MB of memory used.
Paula used 6.51 MB to download two songs.
23.15 – 6.51 = 16.64 MB
Thus she used 16.64 MB to download new song.
b. How many kilobytes did the new songs use?
Answer:
1 megabyte (MB) is equal to 1,000 kilobytes (KB).
16.64 = 16.64 × 1000 = 16640 KB
Question 3.
A few days later, Paula deleted 6.51 MB of songs from her MP3 player.
a. Now how much memory is being used?
Answer:
23.15 – 6.51 = 16.64 MB
b. How many bytes did Paula delete?
Answer:
1 kilobyte (KB) is equal to 1,000 bytes.
16640 = 16640 × 1000 = 16640000 bytes
Tyler’s media player plays both music and video (such as television shows and movies). It holds 7.92 GB of songs and videos.
Question 4.
The memory display on Tyler’s media player says “7.59 GB used.”
a. How many gigabytes of memory are still available in the media player?
Answer:
Given,
Tyler’s media player plays both music and video (such as television shows and movies). It holds 7.92 GB of songs and videos.
The memory display on Tyler’s media player says “7.59 GB used.”
7.92 – 7.59 = 0.33 GB
b. How many megabytes is that?
Answer:
Convert 0.33 GB to megabytes.
1 GB = 1000 Megabyte
0.33 GB = 0.33 × 1000 = 330 Megabytes
c. How many kilobytes is that?
Answer:
1 MB = 1000 kb
330 MB = 330 × 1000 = 330000 kb
d. How many bytes is that?
Answer:
1 kilobyte (KB) is equal to 1,000 bytes.
330000 = 330000 × 1000 = 330000000 bytes
Question 5.
Tyler deleted 2.75 GB of TV shows from his media player. Now how much memory is being used?
Answer:
Given,
Tyler deleted 2.75 GB of TV shows from his media player.
Tyler’s media player plays both music and video (such as television shows and movies). It holds 7.92 GB of songs and videos.
7.92 GB – 2.75 GB = 5.17 GB
5.17 GB memory is being used.
Question 6.
After deleting the TV shows, Tyler added two movies to his media player. The memory display now says “7.61 GB used.” How many gigabytes of memory do his new movies use?
Answer:
Given,
After deleting the TV shows, Tyler added two movies to his media player. The memory display now says “7.61 GB used.”
7.61 GB – 5.17 GB = 2.44 GB
Question 7.
CHALLENGE Tyler added some songs to his media player, and now 7.69 GB of the player’s storage is full. He wants to download some episodes of a TV show that together take up 2,250 MB. Does he have enough room?
Answer:
Given,
Tyler added some songs to his media player, and now 7.69 GB of the player’s storage is full.
2250 MB = 2.25 GB
7.69 + 2.25 = 9.94 GB
No, he doesn’t have enough storage.
Olympic Story Problems
Question 1.
In the 2012 London Summer Olympics, Jamaican sprinter Usain Bolt ran the 200-meter sprint in 19.32 seconds, coming in first place. The sprinter who came in second, Yohan Blake, finished the race in 19.44 seconds. By how much did Bolt win the race? Show all your work.
a. The sprinter who came in third, Warren Weir, finished in 19.84 seconds. Did Bolt run the race more or less than a half-second faster than the third place finisher? Show all your work and explain how you can tell.
Answer:
Given,
In the 2012 London Summer Olympics, Jamaican sprinter Usain Bolt ran the 200-meter sprint in 19.32 seconds, coming in first place. The sprinter who came in second, Yohan Blake, finished the race in 19.44 seconds.
19.44 – 19.32 = 0.12 seconds
The sprinter who came in third, Warren Weir, finished in 19.84 seconds.
19.84 – 19.32 = 52 seconds
Question 2.
In the 2012 London Summer Olympics, Usain Bolt set a new Olympic record when he ran the 100-meter sprint in 9.63 seconds. Is that less than half, exactly half, or more than half as long as it took him to run the 200-meter sprint? Show all your work.
Answer:
Given,
In the 2012 London Summer Olympics, Usain Bolt set a new Olympic record when he ran the 100-meter sprint in 9.63 seconds.
Jamaican sprinter Usain Bolt ran the 200-meter sprint in 19.32 seconds, coming in first place.
19.32 – 9.63 = 9.69 seconds
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 3 Session 2 Answer Key
Vertical Problems
Give and Take Strategy for Addition
Question 1.
Fill in the answer.
Answer:
999 + 457 = 1456
Question 2.
Fill in the answers. As you work, think about how the give and take strategy is used.
Answer:
Constant Difference Strategy for Subtraction
Question 3.
Fill in the answer.
Answer:
Question 4.
Fill in the answers. As you work, think about the two different ways in which the problem has been changed, and compare them. Which seems easier? Why?
Answer:
Adding & Subtracting Decimals
Question 5.
Use the give and take strategy for addition to solve these problems. What can you take from one addend and give to the other to make each problem easier?
Answer:
By adding 75.6 and 29.9 we get 105.5
By adding 4.76 and 4.38 we get 9.14
By adding 1.93 and 7.38 we get 9.31
By adding 0.68 and 0.97 we get 1.65
By adding 57.80 and 7.38 we get 65.18
By adding 0.88 and 20.37 we get 21.25
Question 6.
Use the constant difference strategy for subtraction to solve these problems. What can you add or subtract to or from both numbers to make each problem easier?
Answer:
By subtracting 2.89 from 7.78 we get 4.89
By subtracting 1.99 from 13.02 we get 11.03
By subtracting 2.89 from 5.30 we get 2.41
By subtracting 14.32 from 3.95 we get 10.37
By subtracting 0.93 from 6.10 we get 5.17
By subtracting 2.80 from 25.35 we get 22.55
More Memory Bytes
Use the information below to help you solve the following problems:
- 1 gigabyte (GB) is equal to 1,000 megabytes (MB).
- 1 megabyte (MB) is equal to 1,000 kilobytes (KB).
- 1 kilobyte (KB) is equal to 1,000 bytes.
Question 1.
Write and solve an equation for each problem.
a. How many bytes are in 6 KB?
Answer:
1 kilobyte (KB) is equal to 1,000 bytes.
6 KB = 6 × 1000 = 6000 bytes
Thus there are 6000 bytes in 6 KB.
b. How many bytes are in 84 KB?
Answer:
1 kilobyte (KB) is equal to 1,000 bytes.
84 KB = 84 × 1000 = 84,000 bytes
Thus there are 84,000 bytes in 84 KB.
c. How many kilobytes are in 4 MB?
Answer:
1 megabyte (MB) is equal to 1,000 kilobytes (KB).
4 MB = 4 × 1000 KB = 4000 KB
d. How many kilobytes are in 39 MB?
Answer:
1 megabyte (MB) is equal to 1,000 kilobytes (KB).
39 MB = 39 × 1000 = 39,000 KB
Thus there are 39,000 KB in 39 MB.
e. How many megabytes are in 8 GB?
Answer:
1 gigabyte (GB) is equal to 1,000 megabytes (MB).
8 GB = 8 × 1000 = 8,000 MB
Thus there are 8,000 MB in 8 GB.
f. How many megabytes are in 92 GB?
Answer:
1 gigabyte (GB) is equal to 1,000 megabytes (MB).
92 GB = 92 × 1000 = 92,000 MB
Thus there are 92,000 MB in 92 GB.
g. How many bytes are in 7 MB?
Answer:
Convert from MB to bytes
1 MB = 1000000
7 MB = 7 × 1000000 = 7,000,000 bytes
h. How many bytes are in 15 MB?
Answer:
Convert from MB to bytes
1 MB = 1000000
15 MB = 15 × 1000000 = 7,000,000 bytes
i. How many kilobytes are in 2 GB?
Answer:
1 kilobyte = 1000 bytes
1 GB = 1000000
2 GB = 2 × 1000000 = 2,000,000 kilobytes
j. How many bytes are in 3 GB?
Answer:
1 GB = 1000000000
3 GB = 3 × 1000000000 = 3,000,000,000 bytes
Question 3.
Madeline has a song that uses 2.35 MB of memory.
a. How many kilobytes is that?
Answer:
Given,
Madeline has a song that uses 2.35 MB of memory.
1 megabyte (MB) is equal to 1,000 kilobytes (KB).
2.35 MB = 2.35 × 1000 = 2350 KB
b. How many bytes is that?
Answer:
1 kilobyte (KB) is equal to 1,000 bytes.
2350 KB = 2350 × 1000 = 2,350,000 bytes
Question 4.
Madeline buys three songs. One uses 1.73 MB of memory, another uses 2.08 MB, and the third uses 3.99 MB. How many megabytes does Madeline need to store her new songs? Show your work.
Answer:
Given,
Madeline buys three songs. One uses 1.73 MB of memory, another uses 2.08 MB, and the third uses 3.99 MB.
1.73 + 2.08 + 3.99 = 7.8 MB
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 3 Session 3 Answer Key
Equivalent Measures
1 kilometer (km) = 1,000 meters (m)
1 meter (m) = 100 centimeters (cm)
1 centimeter (1 cm) = 10 millimeters (mm)
1 kilogram (kg) = 1,000 grams (g)
1 gram (g) = 1, 000 milligrams (mg)
1 liter (l) = 1, 000 milliliters (ml)
Different Measures
Question 1.
Solve each of the following.
a. 64 cm = ______________ mm
Answer:
1 centimeter (1 cm) = 10 millimeters (mm)
64 cm = 64 × 10mm = 640mm
b. 125 km = _____________ m
Answer:
1 kilometer (km) = 1,000 meters (m)
125 km = 125 × 1000 = 125000 meter
c. 3,500 mg = ______________ g
Answer:
1 gram (g) = 1, 000 milligrams (mg)
3500/1000 = 3.5 grams
d. 4.3 l = _____________ ml
Answer:
1 liter (l) = 1, 000 milliliters (ml)
4.3 l = 4.3 × 1000 = 4300 ml
e. 300 mg = _____________ g
Answer:
1 gram (g) = 1, 000 milligrams (mg)
300/1000 = 0.3 grams
Question 2.
Carlton ran 1.3 kilometers on Monday and 2.4 kilometers on Tuesday. How many meters did he run on both days? Show your work.
Answer:
Given,
Carlton ran 1.3 kilometers on Monday and 2.4 kilometers on Tuesday.
1.3 + 2.4 = 3.7 km
Convert from km to m
1 km = 1000 m
3.7km = 3.7 × 1000 = 3700 meters
Question 3.
Maria Jose weighed both of her pets. Her parakeet weighs 30 grams, and her turtle weighs 600 grams. How many kilograms do her pets weigh together? Show your work.
Answer:
Maria Jose weighed both of her pets. Her parakeet weighs 30 grams, and her turtle weighs 600 grams.
30 + 600 = 630 grams
Convert from grams to kilograms.
1 kg = 1000 grams
630/1000 = 0.63 kg
Question 4.
Walt drinks an average of 10.5 liters of water every Monday through Friday, and only 3 liters of water on the weekend. How many more milliliters of water does Walt usually drink during the weekdays than during the weekends? Show your work.
Answer:
Given,
Walt drinks an average of 10.5 liters of water every Monday through Friday, and only 3 liters of water on the weekend
10.5 + 3 = 13.5 liters
1 liter (l) = 1, 000 milliliters (ml)
13.5l = 13.5 × 1000 = 13,500 ml
Question 5.
CHALLENGE Lindy was making an obstacle course for her friends to follow. She marked a 0.8 kilometer run, a 100 meter jump rope path, and a 50 meter belly crawl path. After her friends complete the course, how many kilometers will they have gone? How many meters? Centimeters? Show your work.
Answer:
Lindy was making an obstacle course for her friends to follow.
She marked a 0.8 kilometer run, a 100 meter jump rope path, and a 50 meter belly crawl path.
0.8 km = 800 meter
800 + 100 + 50 = 950 meter
Convert from meter to centimeter.
1 m = 100 cm
950 m = 950 × 100 = 95,000 cm
Convert from meter to kilometer
1 km = 1000 m
950/1000 = 0.95 km
Meters & Meters
Question 1.
Use the information below to help you with the following problems:
- 1 kilometer (km) = 1,000 meters (m)
- 1 meter (m) = 100 centimeters (cm)
- 1 centimeter (cm) = 10 millimeters (mm)
a. How many millimeters are in 5 cm?
Answer:
1 centimeter (cm) = 10 millimeters (mm)
5 cm = 5 × 10 = 50 mm
There are 50 millimeters in 5 cm.
b. How many millimeters are in 48 cm?
Answer:
1 centimeter (cm) = 10 millimeters (mm)
48 cm = 48 × 10mm = 480 mm
480 millimeters in 48 cm.
c. How many centimeters are in 9 m?
Answer:
1 meter (m) = 100 centimeters (cm)
9 m = 9 × 100 = 900 cm
There are 900 centimeters in 9 m.
d. How many centimeters are in 37 m?
Answer:
1 meter (m) = 100 centimeters (cm)
37 m = 37 × 100 = 3700 cm
Thus there are 3700 cm in 37 meters.
e. How many meters are in 6 km?
Answer:
1 kilometer (km) = 1,000 meters (m)
6 km = 6 × 1000 = 6,000 m
Thus there are 6000 meters in 6 km.
f. How many meters are in 79 km?
Answer:
1 kilometer (km) = 1,000 meters (m)
79 km = 79 × 1000 = 79,000 m
Thus there are 79,000 meters in 79 km.
g. How many meters are in 7 km?
Answer:
1 kilometer (km) = 1,000 meters (m)
7 km = 7 × 1000 = 7000 meter
Thus there are 7,000 meters in 7 km.
h. How many millimeters are in 8 km?
Answer:
1 km = 1000000
8 km = 8 × 1000000 = 8000000 mm
Thus there are 8000000 mm in 8 km.
Question 2.
Tyler is training for a running race. On Monday, he ran 8.67 km. On Tuesday, he ran 9.54 km. On Wednesday, he ran 7.99 km.
a. How far did Tyler run on Monday, Tuesday, and Wednesday? Show your work.
Answer:
Given,
Tyler is training for a running race.
On Monday, he ran 8.67 km.
On Tuesday, he ran 9.54 km.
On Wednesday, he ran 7.99 km.
8.67 + 9.54 + 7.99 = 26.2 km
b. How much farther did Tyler run on Tuesday than on Wednesday? Show your work.
Answer:
Given,
On Tuesday, he ran 9.54 km.
On Wednesday, he ran 7.99 km.
9.54 – 7.99 = 1.55 km
Bridges in Mathematics Grade 5 Student Book Unit 3 Module 3 Session 4 Answer Key
Measurements
Question 1.
Round the following measurements to the nearest whole number.
a. 4.32 cm _______________
b. 10.09 ml ____________
c. 287.5 km ____________
Answer:
The rounding up of numbers means if a number is given in the decimal form and followed by the numbers 5, 6, 7, 8, and 9 after the decimal point, then round the numbers up to the nearest whole number greater than the given one.
a. 4.32 cm to the nearest whole number is 4 cm.
b. 10.09 ml to the nearest whole number is 10 ml.
c. 287.5 km to the nearest whole number is 288 km.
Question 2.
Round the following measurements to the nearest tenth.
a. 3.01 g ____________
b. 67.54 m ____________
c. 599.93 l ____________
Answer:
a. 3.01 g
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 1.
3.01 to the nearest tenth is 3.0
b. 67.54 m
You rounded to the nearest tenths place. The 5 in the tenths place rounds down to 5, or stays the same, because the digit to the right in the hundredths place is 4.
67.54 to the nearest tenth is 67.5
c. 599.93 l
You rounded to the nearest tenths place. The 9 in the tenths place rounds down to 9, or stays the same, because the digit to the right in the hundredths place is 3.
599.93 to the nearest tenth is 599.9
Question 3.
Round the following measurements to the nearest hundredth.
a. 15.175 kg ____________
b. 25.105 mm ____________
c. 1.006 MB ____________
Answer:
a. 15.175 kg
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 5.
15.175 to the nearest hundredth is 15.18
b. 25.105 mm
You rounded to the nearest hundredths place. The 0 in the hundredths place rounds up to 1 because the digit to the right in the thousandths place is 5.
25.105 to the nearest hundredth is 25.11
c. 1.006 MB
You rounded to the nearest hundredths place. The 0 in the hundredths place rounds up to 1 because the digit to the right in the thousandths place is 6.
1.006 to the nearest hundredth is 1.01
Question 4.
There are 1000 meters in a kilometer. How many meters are in 8.59 kilometers?
Answer:
Given,
There are 1000 meters in a kilometer.
1 km = 1000 m
8.59 km = 8.59 × 1000 = 8590 meters
Thus there are 8590 meters in 8.59 kilograms.
Question 5.
There are 100 grams in a hectogram. How many grams are in 17.84 hectograms?
Answer:
Given,
There are 100 grams in a hectogram.
17.84 = 17.84 × 100
= 1784 grams
Thus there are 1784 grams in 17.84 hectograms.
Question 6.
Fill in the blanks.
a. 0.68 + _____________ = 0.7 + 0.37
Answer:
0.68 + _____________ = 0.7 + 0.37
Let the unknown number be x.
0.68 + x = 0.7 + 0.37
0.67 + x = 1.07
x = 1.07 – 0.67
x = 0.40
b. 1.26 – 0.74 = 1.25 – ____________
Answer:
1.26 – 0.74 = 1.25 – ____________
Let the unknown number be x.
1.26 – 0.74 = 1.25 – x
0.52 = 1.25 – x
x = 1.25 – 0.52
x = 0.73
So, the missing number is 0.73