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Number Sense

Order of OperationsScientific Notation

Properties

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Period 1

Name the location and its distance from Casa Grande in standard notation given it is scientific notation distance.1. 1.98 x 103 miles 2. 5.5 x 103 miles

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Period 1 ANSWERSName the location and its distance from Casa Grande in standard

notation given it is scientific notation distance.1. 1.98 x 103 miles 2. 5.5 x 103 miles 1,980 miles 5,500 miles(Move the decimal the number of places indicated in the exponent of the 10.)

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Period 2

Name the location and its distance from Casa Grande in scientific notation given it is standard notation distance.1. 7,790 miles 2. 6,500 nautical miles

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Period 2 ANSWERS

Name the location and its distance from Casa Grande in scientific notation given it is standard notation distance.

1. 7,790 miles 2. 6,500 nautical miles

7.79 x 103 6.5 x 103

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Period 3

Name the location and its distance from Casa Grande by evaluating the following equation for the given value of x. y = 3x2 – 18x – 6

1. x = 45 2. x = 20

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Period 3 ANSWERS

Name the location and its distance from Casa Grande by evaluating the following equation for the given value of x. y = 3x2 – 18x – 6

1. x = 45 5,259 miles 2. x = 20 834 miles Stonehenge, England Carhenge, Nebraska

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Period 4

Name the location and its distance from Casa Grande by evaluating the expression.

1. 3(4) + 2(8 + 22) 2. 18(2)52 + 32 (11)-22

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Period 4 ANSWERS

Name the location and its distance from Casa Grande by evaluating the expression.

1. 3(4) + 2(8 + 22) 2. 18(2)52 + 32 (11)-22

12+24 = 36 miles 900 + 95 = 995 miles Sun Devil Stadium Memorial Stadium Tempe, AZ Lincoln, NE

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Period 5

1. Most dreams last 5 to 20 minutes. Graph this on a number line.

2. 7-11 sells more than 10,000 cups of coffee on the average every hour of every day. Graph this on a number line.

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Period 5 ANSWERS

1. Most dreams last 5 to 20 minutes. Graph this on a number line.

2. 7-11 sells more than 10,000 cups of coffee on the average every hour of every day. Graph this on a number line.

0 5 10 15 20 25 30

6,000 8,000 10,000 12,000 14,000 16,000

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Period 6

1. 75% of Hondas purchased are manufactured in North America. Honda produced 1,015,462 vehicles in 2007. Estimate the number made in North America.

2. In the 1970’s, Microsoft earned $16,005 in revenue in its first year of operation. Last year, its earnings topped $51.12 billion dollars. Compute the difference between the first year’s earnings and last year’s.

3. The highest place in the United States is Mt. McKinley at 20,320 feet. Death Valley drops to an altitude of -282. What is the difference in altitude between the two locations?

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Period 6 ANSWERS1. 75% of Hondas purchased are manufactured in North

America. Honda produced 1,015,462 vehicles in 2007. Estimate the number made in North America. .75 * 1,000,000 (rounded) = 750,000 Hondas

2. In the 1970’s, Microsoft earned $16,005 in revenue in its first year of operation. Last year, its earnings topped $51.12 billion dollars. Compute the difference between the first year’s earnings and last year’s. 51,120,000,000 – 16,005 = $51,119,983,995

3. The highest place in the United States is Mt. McKinley at 20,320 feet. Death Valley drops to an altitude of -282. What is the difference in altitude between the two locations? 20,320 – (-282) = 20,602 feet