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UNIT 2
REVIE
W
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CUSTOMARY LENGTH
12 inches (in) = 1 foot (ft)
36 inches = 3 feet or 1 yard (yd)
5,280 feet = 1 mile (mi)
To change from a larger unit of
measure to a smaller unit, MULTIPLY.
To change from a smaller unit of
measure to a larger unit, DIVIDE.
Copy this in your
booklet page 12
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Length
American standard
1 mile = 1760 yards = (5280 feet)1 yard = 3 feet1 foot = 12 inches1 mil = 1/1,000 inch
Metric standard
1 kilometer = 1000 meters1 meter = 10 decimeters1 decimeter = 10 centimeters( 1 meter = 100 centimeters)1 centimeter = 10 millimeters
Conversion:1 inch is defined to be exactly 2.54 cm in July, 1959.
(before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)
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Length
American standard
1 mile = 1760 yards = (5280 feet)1 yard = 3 feet1 foot = 12 inches1 mil = 1/1,000 inch
Metric standard
1 kilometer = 1000 meters1 meter = 10 decimeters1 decimeter = 10 centimeters( 1 meter = 100 centimeters)1 centimeter = 10 millimeters
Conversion:1 inch is defined to be exactly 2.54 cm in July, 1959.
(before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)
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Length
American standard
1 mile = 1760 yards = (5280 feet)1 yard = 3 feet1 foot = 12 inches1 mil = 1/1,000 inch
Metric standard
1 kilometer = 1000 meters1 meter = 10 decimeters1 decimeter = 10 centimeters( 1 meter = 100 centimeters)1 centimeter = 10 millimeters
Conversion:1 inch is defined to be exactly 2.54 cm in July, 1959.
(before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)
![Page 6: UNIT 2 REVIEW CUSTOMARY LENGTH 12 inches (in) = 1 foot (ft) 36 inches = 3 feet or 1 yard (yd) 5,280 feet = 1 mile (mi) To change from a larger unit of](https://reader038.vdocuments.us/reader038/viewer/2022110400/56649db35503460f94aa29f5/html5/thumbnails/6.jpg)
Length
American standard
1 mile = 1760 yards = (5280 feet)1 yard = 3 feet1 foot = 12 inches1 mil = 1/1,000 inch
Metric standard
1 kilometer = 1000 meters1 meter = 10 decimeters1 decimeter = 10 centimeters( 1 meter = 100 centimeters)1 centimeter = 10 millimeters
Conversion:1 inch is defined to be exactly 2.54 cm in July, 1959.
(before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)
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The distance around the
outside of a shape is called the perimeter.
8 cm
6 cm
8 cm
6 cm
The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.
First we need to find he length of each side by counting the squares.
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Now find the perimeter of these shapes. They are
not drawn to scale.
3cm
3cm
3cm
3cm
3cm
3cm
5cm
7cm7cm
3cm
4cm 4cm
4cm 4cm
3cm 3cm
3cm3cm
Perimeter = 18cm Perimeter = 22cm Perimeter = 28cm
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Take a walk around the edge!Take a walk around the edge!
The perimeter is…The perimeter is…
32 cm !32 cm !
This is a regular octagon with sides 4 cm
This is a regular octagon with sides 4 cm
2828
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- 16 -16
r = -23
-23 + 16 = -7
1) SOLVE R + 16 = -7
1. Draw “the river” to separate the equation into 2 sides
2. Subtract 16 from both sides
3. Simplify vertically
4. Check your answer by substituting your answer back into the problem
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2) SOLVE X + 2 = -3GET THE VARIABLE BY ITSELF. WHAT IS YOUR FIRST STEP?
1. Add 2 to both sides
2. Subtract 2 from both sides
3. Add 3 to both sides
4. Subtract 3 from both sides
Answer Now
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3) SOLVE 8 = M - 3
1.m = 52.m = 113.m = 244.m = 8/3
Answer Now
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APPLICATION
Clare had 9 bears. After she gave away some bears to her brother, Clare still had 3 bears. How many bears did Clare give away?
9 – ? = 3
Clare had some bears. After she gave away 3 bears to her cousin, she had 6 bears left. How many bears did Clare have to begin with?
? – 3 = 6
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NEGATIVE NUMBERS - THIS TIME THE SCALE IS HORIZONTAL
0 1 2 3 4 5 6-1-2-3-4-5-6
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CAN YOU ORDER THIS SET OF NUMBERS STARTING WITH THE COLDEST?
20
5
- 2
- 15 10
- 20
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-5 50 10-10
A number line has many functions. Previously, we learned that numbers to the right of zero are positive and numbers to the left of zero are negative. By putting points on the number line, we can graph values.
If one were to start at zero and move seven places to the right, this would represent a value of positive seven. If one were to start at zero and move seven places to the left, this would represent a value of negative seven.
+7-7
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-5 50 10-10
+7-7
Both of these numbers, positive seven (+7) and negative seven (-7), represent a point that is seven units away from the origin.
The absolute value of a number is the distance between that number and zero on a number line. Absolute value is shown by placing two vertical bars around the number as follows:
5 The absolute value of five is five.
-3 The absolute value of negative three is three.
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LET’S PRACTICE
1. -1
2. 5
3. 6
4. -19
5. -179
6. 57
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EXAMPLE 2: (-2 ) + 51. Our car starts from 0 facing
right.2. It then backs up 2 units (to the
left) because it sees the - sign.
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EXAMPLE 3: 5 – 31. Our car still starts at 0 facing
right.2. It then moves forward 5 units.
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EXAMPLES OF ADDITION
Four more than eleven
4+11
14 increased by 2
14 + 2
The sum of 9 , 4, and 11
9 + 4 + 11
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EXAMPLES OF SUBTRACTION
34 decreased by 11
34 -11
17 less than 30
30 - 17
27 take away 10
27 - 10
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EXAMPLES OF EQUALS
The sum of 4 and 19 is 23
4 + 19 = 23
The difference of 14 and 5 is 9
14 - 5 = 9
15 less than 6 becomes 9
15 – 6 = 9
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EXAMPLES OF EQUALS
The sum of 4 and 19 is 23
4 + 19 = 23
The difference of 14 and 5 is 914 - 5 = 9
15 less than 6 becomes 915 – 6 = 9
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UNIT 2 REVIEW
Review Questions on page 84 and 85 #1-40