5 Minute Check
Find. Complete in your notes.
1.
2
3
· 14
2. -
1
12
·
2
5
3. -9 ·
1
2
4. (-1 ) ·
1
2
2
3
5 Minute Check
Find. Complete in your notes.
1.
2
3
· 14
5 Minute Check
Find. Complete in your notes.
1.
2
3
· 14
2
3
· =
1
4
2
12
=
1
6
5 Minute Check
Find. Complete in your notes.
1 2
2. - 12
·5
5 Minute Check
Find. Complete in your notes.
1 2
2. - 12
·5
−1
12
· =
2
5
−2
60
=-
1
30
5 Minute Check
Find. Complete in your notes.
3. -9 ·
1
2
5 Minute Check
Find. Complete in your notes.
3. -9 ·
−9
1
1
2
· =
1
2
−9
2
=-4
1
2
5 Minute Check
Find. Complete in your notes.
4. (-1 12) ·
2
3
5 Minute Check
Find. Complete in your notes.
4. (-1 12) ·
−3
2
· =
2
3
2
3
−6
6
= -1
Friday, May 1
Lesson 7.4.7
Convert Between Systems
Convert Between Systems
Objective: To convert units of measure
between the customary and metric systems.
Convert Between Systems
The easiest way to convert between systems
is to set up a proportion.
Convert Between Systems
Convert 5 kilometers to miles. Round to the
nearest hundredth if necessary.
How to Convert Measurement
Step 1 – Set up a fraction with the units in
the question.
Convert Between Systems
Convert 5 kilometers to miles. Round to the
nearest hundredth if necessary.
5 𝑘𝑚
? 𝑚𝑖𝑙𝑒𝑠
How to Convert Measurement
Step 1 – Set up a fraction with the units in
the question.
Convert Between Systems
Convert 5 kilometers to miles. Round to the
nearest hundredth if necessary.
5 𝑘𝑚
? 𝑚𝑖𝑙𝑒𝑠
How to Convert Measurement
Step 2 – Set up the second fraction with the
same units on top from the conversion chart.
Convert Between Systems
Convert 5 kilometers to miles. Round to the
nearest hundredth if necessary.
5 𝑘𝑚
? 𝑚𝑖𝑙𝑒𝑠
=
1.61 𝑘𝑚
1 𝑚𝑖𝑙𝑒
How to Convert Measurement
Step 2 – Set up the second fraction with the
same units on top from the conversion chart.
Convert Between Systems
Convert 5 kilometers to miles. Round to the
nearest hundredth if necessary.
5 𝑘𝑚
? 𝑚𝑖𝑙𝑒𝑠
=
1.61 𝑘𝑚
1 𝑚𝑖𝑙𝑒
How to Convert Measurement
Step 3 – Cross multiply and divide.
Convert Between Systems
Convert 5 kilometers to miles. Round to the
nearest hundredth if necessary.
5 𝑘𝑚
? 𝑚𝑖𝑙𝑒𝑠
=
1.61 𝑘𝑚
1 𝑚𝑖𝑙𝑒
5 · 1 ÷ 1.61 = 3.11 miles
003.10
161)500.00
-483
170
-161
900
How to Convert Measurement
Step 3 – Cross multiply and divide.
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
6 yd ≈ ? m
Step 1 = ?
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
6 yd ≈ ? m
6 𝑦𝑑
?𝑚
Step 2 = ?
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
6 yd ≈ ? m
6 𝑦𝑑
?𝑚
=
1 𝑦𝑑
.91 𝑚
Step 3 = ?
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
.91
6 yd ≈ ? m
x6
5.46
6 𝑦𝑑
1 𝑦𝑑
= .91 𝑚
?𝑚
6 · .91 ÷ 1 = 5.46 m
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
1.6 cm ≈ ? in
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
000.625
1.6 cm ≈ ? in
1.6 𝑐𝑚
? 𝑖𝑛
=
2.54 𝑐𝑚
1 𝑖𝑛
1.6 · 1 ÷ 2.54 = 0.63 in
254)160.00
-1524
760
-508
1520
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
4.25 T ≈ ? kg
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
907.2
4.25 T ≈ ? kg
x 4.25
4.25 𝑇
?𝑘𝑔
=
1𝑇
907.2 𝑘𝑔
4.25 · 907.2 ÷ 1 = 3855.6 kg
45360
181440
3628800
3855.600
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
17 m ≈ ? yd
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
0018.681
17 m ≈ ? yd
17 𝑚
? 𝑦𝑑
=
.91 𝑚
1 𝑦𝑑
17 · 1 ÷ .91 = 18.68 yd
91)1700.00
-91
790
-728
620
-546
740
-728
120
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
7 gal ≈ ? L
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
3.79
7 gal ≈ ? L
x7
26.53
7 𝑔𝑎𝑙
?𝐿
1 𝑔𝑎𝑙
= 3.79
𝐿
7 · 3.79 ÷ 1 = 26.53 L
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
9.2 lb ≈ ? g
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
453.6
9.2 lb ≈ ? g
x 9.2
9.2 𝑙𝑏
? 𝑔
=
1 𝑙𝑏
453.6 𝑔
9.2 · 453.6 ÷ 1 = 4173.12 g
9072
408240
4173.12
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
22 lb ≈ ? kg
Convert Between Systems
Complete. Round to the nearest hundredth if
necessary.
.4536
22 lb ≈ ? kg
x 22
22 𝑙𝑏
? 𝑘𝑔
=
1 𝑙𝑏
.4536 𝑘𝑔
22 · .4536 ÷ 1 = 9.98 kg
9072
90720
9.9792
Convert Between Systems
An Olympic-size swimming pool is 50 meters
long. About how many feet long is the pool?
Round to the nearest hundredth if
necessary.
Convert Between Systems
An Olympic-size swimming pool is 50 meters
long. About how many feet long is the pool?
Round to the nearest hundredth if
necessary.
166.666
3)500.00
50 m ≈ ? ft
50 𝑚
? 𝑓𝑡
=
.3 𝑚
1 𝑓𝑡
50 · 1 ÷ .3 = 166.67 ft
-3
20
-18
20
-18
2
Convert Between Systems
Raheem bought 3 pounds of bananas. How
many kilograms did he buy? Round to the
nearest hundredth if necessary.
Convert Between Systems
Raheem bought 3 pounds of bananas. How
many kilograms did he buy? Round to the
nearest hundredth if necessary.
3 lbs ≈ ? kg
3 𝑙𝑏𝑠
?𝑘𝑔
=
1 𝑙𝑏
.4536 𝑘𝑔
3 · .4536 ÷ 1 = 1.36 kg
.4536
x3
1.3608
Convert Between Systems
How many feet does a team of athletes run in
a 1,600-meter relay race? Round to the
nearest hundredth if necessary.
Convert Between Systems
How many feet does a team of athletes run in
a 1,600-meter relay race? Round to the
nearest hundredth if necessary.
1,600 m ≈ ? ft
05333.33
1,600 𝑚
? 𝑓𝑡
𝑚
= 1.3𝑓𝑡
1600 · 1 ÷ .3 = 5333.33 ft
3)16000.00
-15
10
-9
1
Convert Between Systems
The distance from Earth to the Sun is about
149 gigameters. About how many miles is
this? (Hint – 1 gigameter is 621,118 miles)
Convert Between Systems
The distance from Earth to the Sun is about
149 gigameters. About how many miles is
this? (Hint – 1 gigameter is 621,118 miles)
149 𝑔𝑖𝑔
? 𝑚𝑖𝑙𝑒𝑠
=
1 𝑔𝑖𝑔
621,118 𝑚𝑖𝑙𝑒𝑠
149 · 621,118 ÷ 1 = 92,546,582 miles
Convert Between Systems
Agenda Notes
No Homework –
Homework Practice 7.4.7
Even numbers only
Due by the end of the period
Circle all answers and show all work
Chapter 7.4 Test
Wednesday, May 6