5.1-5.3 Review

Place Value and Rounding

100

What digit is in the hundredths place?

7,135.2755

7,135.2755

200

What digit is in the ten thousandths place?

45,672.45678

45,672.45678

300

Write the decimal in expanded form:

32.187

30 + 2 + 1/10 + 8/100 +7/1,000

400

Round to the nearest thousandth: 71.2427

71.243

500

Round to the nearest hundredth: 54.7694

54.77

Decimals to Fractions

100

Convert the decimal to a fraction:

0.72

72/100 OR 18/25

200

Convert the decimal to a fraction 32.187 (combine over a common denominator)

32,187/1,000

300

Convert the given decimal to a mixed number: 5.47

5 47/100

400

Convert the decimal to a mixed number: 76.459

76 459/1000

500

Convert the decimal to a fraction and reduce: .84

21/25

Add/Subtract Decimals

100

2.6 + 37.4

40

200

7.09 + 16.35

23.44

300

-5.45 + (-39.663)

-45.113

400

17.6 + |14.6 - 5.7|

26.5

500

2.765 - (-7.6)

10.365

Multiplying Decimals

100

(-9.72)(9.1)

-88.452

200

(-16.4)(-4.1)

67.24

300

5.94 - (-1.2)(-1.8)²

5.94- (-1.2)(3.24)

5.94 + 3.888 =9.828

400

(-8.1)(9.4) - 1.8²

(-8.1)(9.4) - 3.24

-76.14 - 3.24 =-79.38 

500

Given a=-2.5, b=-6.2, and c = 3.2, evaluate ab-c²

(-2.5)(-6.2)-(3.2)² = 5.26

Circles

100

A circle has a radius of 2. Find the circumference. 

2(3.14)(2)=12.56 

200

A circle has a radius of 3. What is the area?

3.14(3)²  =28.26 

300

A circle has a diameter of 14 inches. What is the circumference?

2(3.14)(7) =43.96 

400

A circle has a diameter of 16. What is the area?

(3.14)(8)² =200.96

500

Sally has a pool that has a circumference of 50 feet. She wants to replace the stone along the edge, but wants to know the diameter of the pool. What is the diameter using pi=3.14 and the circumference equation? c=2(3.14)r

50=2(3.14)r

50=6.28r

50/6.28=r

50/6.28=7.962 

7.962(2)=15.924