the odometer on jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he...

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Bell Ringer The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based on the odometer readings, what was his average driving speed on the trip, in miles per hour? A. 53 B. 58 C. 60 D. 65 E. 67 23,650 – 23,273 = 377 miles ÷ 6.5 hours = 58 mph

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Page 1: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Bell RingerThe odometer on Jordan’s car read 23,273 miles

when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based on the odometer readings, what was his average driving speed on the trip, in miles per hour?

A. 53B. 58C. 60D. 65E. 67

23,650 – 23,273 = 377 miles ÷ 6.5 hours = 58 mph

Page 2: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Fractions, Decimals, and Percents

Converting and Ordering

Page 3: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Factors

A number that divides evenly into another number.

Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24.

What are the factors of 12? 1, 2, 3, 4, 6, 12

Page 4: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Common Factor♦ When two numbers have the same factor it

is called a common factor.♦ What are the factors of 12?

1, 2, 3, 4, 6, 12♦ What are the factors of 18?

1, 2, 3, 6, 9, 18♦ The common factors are 1, 2, 3, and 6.♦ The greatest common factor is 6!

Page 5: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Common Factors

What are the common factors of 6 and 9?6 = 1, 2, 3, 6 9 = 1, 3, 9The common factor is 3, so the GCF = 3

What are the common factors of 20 and 16?20 = 1, 2, 4, 5, 10, 20 16 = 1, 2, 4, 8, 16The common factors are 2 & 4, so the

GCF = 4

Page 6: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Simplest Form

When the only common factor of the numerator and denominator is 1, the fraction is in simplest form.

34

34

÷ 11 =

Page 7: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

How to Find the Simplest Form of a Fraction

Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number.

1218

23÷ 6

6 =

Page 8: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Convert a Fraction to a Decimal

Divide the numerator by the denominator!

3 4

= 3 ÷ 4 = 0.75

8 10

= 8 ÷ 10 = 0.8

Divide the top number by the bottom number!!!

Page 9: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Convert a Decimal to a Percent

Move the decimal point 2 places to the right and add a percent (%) sign. If you need to, add a zero on the back to get the second decimal place.

.546 = 54.6%

.4 = 40%3.56 = 356%

Page 10: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Convert a Percent to a Decimal

Move the decimal point 2 places to the left. If you need to, put a zero on the front.

24% = .2415.36% = .1536256% = 2.562% = .02

Page 11: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Convert a Decimal to a FractionConvert the decimal to fraction using tenths,

hundredths, thousandths, etc. depending on the number of decimal places. Simplify.

.18 = =

.4 = =

18100

950

410

25

Page 12: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Ordering

The easiest way to order fractions, decimals, and percents is to convert them to the same type of number.

Change all percents and fractions to decimals!

Page 13: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Order from Least to Greatest!

.85, 23%, ⅗, .35, 57.5%, ⅔ Change them to decimals!.85, .23, .60, .35, .575, .66 Order them!.23, .35, .575, .60, .66, .85

Page 14: The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based

Handy Dandy Chart

Keep this handy dandy chart that I will graciously give you!

Chart.docx