MATH 8UNIT 1 UNIT REVIEW

YOU HAVE 6 POTTED TOMATO PLANTS THAT YOU

WANT TO DISPLAY IN ORDER FROM SHORTEST TO

TALLEST. WRITE THE HEIGHTS OF THE POTS IN

ORDER FROM SHORTEST TO TALLEST?

𝟏. 𝟖 𝐢𝐧. , 𝟐. 𝟒 𝐢𝐧. , 𝟓 𝐢𝐧. , 𝟐𝟏

𝟑𝐢𝐧. , 𝟐. 𝟓 𝐢𝐧. , 𝟐 𝟐 𝐢𝐧.

YOU HAVE 6 POTTED TOMATO PLANTS THAT YOU

WANT TO DISPLAY IN ORDER FROM SHORTEST TO

TALLEST. WRITE THE HEIGHTS OF THE POTS IN

ORDER FROM SHORTEST TO TALLEST?

𝟏. 𝟖 𝐢𝐧. , 𝟓 𝐢𝐧. , 𝟐𝟏

𝟑𝐢𝐧, 𝟐. 𝟒 𝐢𝐧. , 𝟐. 𝟓 𝐢𝐧. , 𝟐 𝟐 𝐢𝐧.

Water Levels of Texas Lakes

LakeNumber of Feet Above or Below Normal

Level

Conroe -0.40

Lake O’ The Pines .02

Travis -55.94

Possum Kingdom −16.23

Richland Chambers -9.24

Which of the following list the lakes in order from greatest to least based on the number of feet above or below normal levels?

Water Levels of Texas Lakes

LakeNumber of Feet Above or Below Normal

Level

Lake O’ The Pines .02

Conroe -0.40

Richland Chambers -9.24

Possum Kingdom −16.23

Travis -55.94

Which of the following list the lakes in order from greatest to least based on the number of feet above or below normal levels?

5. THE STUDENTS ARE CONDUCTING

EXPERIMENTS AND THE RESULT IS

HOW MUCH THEY HAVE

COMPLETED SO FAR.

6. WHO HAS COMPLETED THE

MOST OF THEIR EXPERIMENT?

7. WHO HAS COMPLETED THE

LEAST?

8. HOW DO YOU KNOW?

WHO HAS COMPLETED THE MOST

OF THEIR EXPERIMENT?

KIM BECAUSE 4/5 = 80%

WHO HAS COMPLETED THE LEAST?

EDUARDO BECAUSE HE HAS

COMPLETED ONLY 60%

HOW DO YOU KNOW?

BECAUSE I KNOW HOW TO

CONVERT AND COMPARE NUMBERS

1

3, −

3

10, 0.305, 31%,

•ORDER THESE NUMBERS FROM GREATEST TO LEAST.

1

3, 31%, 0.305, −

3

10

THESE NUMBERS ARE ORDERED FROM GREATEST TO LEAST.

(CONVERT TO DECIMALS AND COMPARE)

•AN INSPIRATIONAL POST GAME VIDEO WENT VIRAL

ON YOUTUBE AND HAS 8.73 X 106 HITS.

EXPRESS THIS NUMBER IN STANDARD FORM.

•AN INSPIRATIONAL POST GAME VIDEO WENT VIRAL

ON YOUTUBE AND HAS 8.73 X 106 HITS.

EXPRESS THIS NUMBER IN STANDARD FORM.

•8,730,000

•MOVE THE DECIMAL TO THE RIGHT 6 TIMES AND FILL

IN THE EMPTY DECIMAL PLACES WITH ZEROS.

•ONE LIGHT YEAR IS

9,460,528,400,000,000 METERS

•EXPRESS THIS NUMBER IN

SCIENTIFIC NOTATION

•ONE LIGHT YEAR IS

9.4605284 X 1015METERS

EXPRESSED IN SCIENTIFIC

NOTATION

•THE AVERAGE DISTANCE FROM EARTH TO THE

SUN IS ABOUT 9.3 × 107 MILES. THE AVERAGE

DISTANCE FROM MARS TO THE SUN IS ABOUT

1.4 × 108 MILES. WHEN BOTH PLANETS ARE AT

THEIR AVERAGE DISTANCE FROM THE SUN,

HOW MANY TIMES FARTHER IS MARS FROM

THE SUN THAN EARTH?

• THE AVERAGE DISTANCE FROM EARTH TO THE SUN IS ABOUT 9.3 × 107 MILES.

THE AVERAGE DISTANCE FROM MARS TO THE SUN IS ABOUT 1.4 × 108 MILES.

WHEN BOTH PLANETS ARE AT THEIR AVERAGE DISTANCE FROM THE SUN, HOW

MUCH FARTHER IS MARS FROM THE SUN THAN EARTH?

• THINK ABOUT A SIMPLER PROBLEM. HOW MANY TIMES BIGGER IS 15 THAN 5?

ANSWER: 3, BECAUSE 15/5=3.

• THE SAME THINKING IS APPLIED HERE, EXCEPT THE NUMBERS ARE IN SCIENTIFIC

NOTATION. IT IS STILL A DIVISION PROBLEM.

• ANSWER: APPROXIMATELY 1.5 TIMES FARTHER.

65 36• COMPARE AND CONTRAST:

• LABEL THE NUMBER RATIONAL OR IRRATIONAL AND WRITE AN EXPLANATION OF HOW YOU

KNOW.

65 3665 IS IRRATIONAL. IT IS THE SQUARE ROOT 36 IS RATIONAL. IT EQUALS 6, WHICH IS

OF AN IMPERFECT SQUARE. THE DECIMAL A WHOLE NUMBER. RATIONAL NUMBERS

GOES ON AND ON WITHOUT A PATTERN ARE ANY NUMBER THAT CAN BE EXPRESSED

AS A FRACTION, INCLUDING: WHOLE,

INTEGERS, FRACTIONS, DECIMALS AND

PERCENTS

A=170 𝑢2

This square has

an area of 170

units squared.

What is the

approximate

side length?

A=170 𝑢2

DO NOT DIVIDE BY 4!

That is for the side length

if your are given the

perimeter!

Take the SQUARE ROOT!!

Side length is

approximately: 13.03

unitsWhat number times itself is

approximately 170?

PLOT THESE NUMBERS ON A NUMBER LINE

• 5 + 18

•136

15

• 𝑃𝑖 − 2

• 91

9

PLOT THESE NUMBERS ON A NUMBER LINE

• 5 + 18

•136

15

• 𝑃𝑖 − 2

• 91

9

MULTIPLE AND DIVIDEANSWER IN SCIENTIFIC NOTATION

• (8.2 × 104)(9.1 × 106)

• (4.6 × 108)(2.8 × 10−2)

• (8.4 × 108) ÷ (3.5 × 106)

• (5 × 105) ÷ (2.5 × 1010)

MULTIPLE AND DIVIDEANSWER IN SCIENTIFIC NOTATION

• (8.2 × 104)(9.1 × 106)

7.462 X 10^11

• (4.6 × 108)(2.8 × 10−2)

1.288 X 10^7

• (8.4 × 108) ÷ (3.5 × 106)

3.82 X 10^2

• (5 × 105) ÷ (2.5 × 1010)

2.57 X 10^1

• THE DISTANCE FROM THE SUN TO MERCURY IS 3.598 X 10^7 MILES. THE DISTANCE FROM THE

SUN TO NEPTUNE IS 2.798 X 10^9 MILES. HOW FAR IS MERCURY FROM NEPTUNE? WRITE

YOUR ANSWER IN SCIENTIFIC NOTATION.

• USING THE SAME DATA FROM ABOVE, DETERMINE HOW MANY TIMES FURTHER FROM THE SUN

NEPTUNE IS THAN MERCURY.

• THE DISTANCE FROM THE SUN TO MERCURY IS 3.598 X 10^7 MILES. THE DISTANCE FROM THE

SUN TO NEPTUNE IS 2.798 X 10^9 MILES. HOW FAR IS MERCURY FROM NEPTUNE? WRITE

YOUR ANSWER IN SCIENTIFIC NOTATION.

2.76202 X 10^9

• USING THE SAME DATA FROM ABOVE, DETERMINE HOW MANY TIMES FURTHER FROM THE SUN

NEPTUNE IS THAN MERCURY.

7.8 X 10^1