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7R UNIT 2 Rational Numbers Name: ____________________ Teacher: __________________ Period: ______

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Page 1: Mrs. Leonardo's Math Classmrsleonardo1.weebly.com/.../7r_unit_2_rational_numbers_…  · Web viewRational Numbers. Name: _____ Teacher: _____ Period: _____ Lesson 1 – Introduction

7RUNIT 2

Rational Numbers

Name: ____________________Teacher: __________________

Period: ______

Page 2: Mrs. Leonardo's Math Classmrsleonardo1.weebly.com/.../7r_unit_2_rational_numbers_…  · Web viewRational Numbers. Name: _____ Teacher: _____ Period: _____ Lesson 1 – Introduction

7R UNIT 2Lesson 1 – Introduction to Decimals

Aim: I can round decimal numbers and identify place values.

Warm up:1. In your own words, what is a rational number?

2. Fill in the place value in the appropriate space:

9 , 4 7 2 , 3 4 0 . 2 3 9 8

A. Use the given decimal to answer the following questions: 743.1256

1. Which digit is in the hundreds place? __________

2. Which digit is in the tens place? __________

3. Which digit is in the ones place? __________

4. Which digit is in the tenths place? __________

5. Which digit is in the hundredths place? __________

6. Which digit is in the thousandths place? __________

7. Which digit is in the ten-thousandths place? __________

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7R UNIT 2Rounding Rules:1. Underline the place value you are rounding.2. Form a box around the place value you are rounding to and all numbers that come before that place value.2. Draw an arrow to the number after the place value you are rounding to.3. If the number after the place value you are rounding to is 5 or HIGHER, round UP.4. If the number after the place value you are rounding to is LESS THAN 5, the numbers stays the SAME.

Round to the nearest tenth.

2,453.2 7 = 2.453.3

B. Guided Practice:

Round the following decimals to the nearest tenth:

1. 3.19 2. 4.921 3. 5.909 4. 89.985 5. 12.487

Round the following decimals to the nearest hundredth:

6. 3.297 7. 8.9294 8. 75.989 9. 8.495 10. 18.783

Round the following decimals to the nearest thousandth:

11. 3.2978 12. 2.4234 13. 52.009114. 18.1236 15. 21.7253

C. Problem Set

Round the following decimals to the nearest tenth:

6. 5.479 7. 72.134 8. 41.295 9. 9.987 10. 1.05

Round the following decimals to the nearest hundredth:

6. 6.754 7. 9.987 8. 67.333 9. 28.545 10. 19.296

Round the following decimals to the nearest thousandth:

6. 0.0008 7. 8.0612 8. 14.1129 9. 63.9867 10. 7.0054

3

Rounding Rules:1. Underline the place value you are rounding.2. Form a box around the place value you are rounding to and all numbers that come before that place value.2. Draw an arrow to the number after the place value you are rounding to.3. If the number after the place value you are rounding to is 5 or HIGHER, round UP.4. If the number after the place value you are rounding to is LESS THAN 5, the numbers stays the SAME.

Page 4: Mrs. Leonardo's Math Classmrsleonardo1.weebly.com/.../7r_unit_2_rational_numbers_…  · Web viewRational Numbers. Name: _____ Teacher: _____ Period: _____ Lesson 1 – Introduction

7R UNIT 2Lesson 1 – Introduction to Decimals

HOMEWORK

Round the following decimals to the nearest tenth:

1. 2.68 2. 7.234 3. 12.357 4. 55.021 5. 17.145

Round the following decimals to the nearest hundredth:

6. 5.228 7. 30.189 8. 78.972 9. 24.290 10. 7.895

Round the following decimals to the nearest thousandth:

11. 0.4444 12. 10.0757 13. 45.2305 14. 20.1033 15. 9.7001

Round to the nearest whole number:

16. 5.542 17. 33.276 18. 107.89

4

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7R UNIT 2

Lesson 2 – Adding, Subtracting, Multiplying, & Dividing Decimals

Aim: I can add, subtract, multiply and divide decimal numbers.

Warm up:Use the given decimal to answer the following questions: 4,657.3892

1. Which digit is in the hundreds place? __________

2. Which digit is in the tens place? __________

3. Which digit is in the ones place? __________

4. Which digit is in the tenths place? __________

5. Which digit is in the hundredths place? __________

6. Which digit is in the thousandths place? __________

7. Which digit is in the ten-thousandths place? __________

A. Vocabulary Review:

Sum: ________________________________________________________________________________

Difference: ___________________________________________________________________________

Product: _____________________________________________________________________________

Quotient: _____________________________________________________________________________

5

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7R UNIT 2 Rules for Adding and Subtracting Decimals

1. Neatly line up the Decimals2. Add zeros as place markers, if necessary3. Add or Subtract

B. Find the sum or difference.

1) 2.13 2) 0.13 3) 6.575 +0.4¿ +3.87 −2.82

4) 195.62– 35.1 5) 12.6+2.7+100.67 6) 9.001 – (−2.4)

7) 16.2+24.9 8) 9.4 – 4.08 9) 3.8+10.5+1.2+7

10) A serving of popcorn contains 0.005 g of sodium. If butter adds .116 g of sodium and salt adds 0.5 g, how much sodium is in a serving of popcorn with butter and salt?

6

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7R UNIT 2

Rules for Multiplying Decimals

1. Ignore the decimals 2. Multiply the given numbers as if they were whole numbers3. Count the amount of places after the decimal in each number4. Move the decimal the number of places you counted from the right

C. Find the product.

1) 1.02×3.6 2) −58×2.6 3) (−4.15 )(−2.1)

4) (2.6)(0.45) 5) (2.15)(1.5) 6) (0.91)(2.7)

Rules for Dividing Decimals

1. Rewrite each problem as long division2. Change the outside number to a whole number3. Move the inside decimal the same amount of places as the outside number4. Divide the two numbers as whole numbers to find the quotient5. Write the decimal UP into the answer

D. Find the quotient.

1) 3.12÷2.6 2) 19.2÷−3.2 3) −10.8÷−2.7

4) 30075 5)

3007.5 6)

3000.75

7

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7R UNIT 2Lesson 2 – Adding, Subtracting, Multiplying, & Dividing Decimals

HOMEWORK

Find the sum or difference.

1) 4.6+8.79 2)−8.7 – 2.03 3) 14.8+29.07

4) 14.5 –8.3 5) 8.9+2.14+7.1 6) 5.002– (−4.3 )

Find the product.

7) 4.6×3.9 8) (−1.8)(0.7) 9) (2.1)(3.1)

Find the quotient.

10) 4.85÷0.1 11) 57.4÷0.7 12) −4.74−0.06

Apply what you’ve learned to a real-world scenario.

13) An apple costs $.60. How much will it cost to purchase a dozen apples?

14) Nina and three friends ate lunch at the cafe. They decided to split the bill evenly. The total bill was $17.84. How much was each person's share?

15) Alicia paid $1.32 for a bag of potato chips. The potato chips cost $0.55 per pound. How much does the bag of potato chips weigh?

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7R UNIT 2Lesson 3 – Introduction to Fractions

Aim: I can simplify and determine equivalent fractions.

Warm up: Label the fraction parts:

_______________________

_______________________

A. Equivalent fractions (multiply by “1”)

5(2)8(2)

=1016

Find the missing numbers.

1) 23=10

❑ 2) 710

= ❑100 3) 6

7=54

❑ 4) 330

=❑60 5) 0

9= ❑

36

6) 712

= 42❑ 7) 1

9= 9

❑ 8) 821

=❑63 9) 4

5=100

❑ 10) 28= ❑

36

B. Simplify fractions (divide the numerator and denominator by the GCF).

12÷(4)20÷ (4)

=35

Simplify each fraction.

1) 9

15= 3

❑ 2) 832

=❑4 3) 17

20=17

❑ 4) 5664

=❑8 5) 12

48= 1

6) 1525

= 3❑ 7) 6

12=❑

2 8) 1232

=❑8 9) 25

100= 1

❑ 10) 1317

=❑17

9

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7R UNIT 2

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7R UNIT 2C. Problem Set

Write two equivalent fractions to each given fraction (Multiply or Divide):

1) 24=¿ 2) 6

8=¿ 3) 12

48=¿

4) 9

15=¿ 5) 1

7=¿ 6) 16

20=¿

Compare these fractions using ¿ ,>,or¿ .

Rules:1. Write each fraction with a common denominator2. Compare the numerators

1)67

47 2)

48

1632 3)

23

34

4)1932

2132 5)

45

910 6)

14

15

Apply what you’ve learned to a real-world scenario.

1) John has 40 bolts in his toolbox. 12 of them are brass. What fraction of the bolts are brass? Write the answer as a simplified fraction.

2) There are 60 washers in John's toolbox. 48 of them are zinc-plated. What fraction of the washers are zinc-plated? Write the answer as a simplified fraction.

3) John owns a bolt that has a length of 34 in. Give 3 equal measures for the length of the bolt.

11

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7R UNIT 2

Lesson 3 – Introduction to FractionsHOMEWORK

Find the missing numbers:

1) 27=12

❑ 2) 610

=❑50 3) 20

25= ❑

100 4) 39=21

❑ 5) 07= ❑

56

6) 46=32

❑ 7) 111

= ❑121 8) 7

7=70

❑ 9) 1220

= ❑40 10) 5

9= ❑

36

Simplify each fraction:

11) 3

36= 1

❑ 12) 710

=❑10 13) 16

24= 2

❑ 14) 1535

=❑7 15) 10

100=❑

10

16) 1420

= 7❑ 17) 80

100=❑

5 18) 1248

= 1❑ 19) 36

40= ❑

10 20) 19=❑

9

Write three equivalent fractions to each given fraction:

21) 2025

=¿ 22) 18=¿ 23) 7

9=¿

24) 45=¿ 25) 8

16=¿ 26) 5

12=¿

Compare these fractions using ¿ ,>,or¿:

27)49

59 28)

12

13 29)

23

812

30)1617

1717 31)

1112

5560 32)

1314

67

12

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7R UNIT 2

13

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7R UNIT 2Lesson 4 – Adding and Subtracting Fractions

Aim: I can add and subtract fractions.

Warm up: Order the following fractions from least to greatest:

25, 1

4, 310

Rules for Adding and Subtracting Fractions

1. Write each fraction with a common denominator2. Add or Subtract the numerators3. Keep the common denominator4. If possible, simply the answer into lowest terms

A. Guided Practice.

Add.

1) 512

+ 112 2)

25+ 3

5 3) 516

+ 516 4)

34+ 1

20 5) 35+ 1

7

1) 39+ 2

9 2) 18+ 1

10 3) 19+ 2

3 4)14+ 5

8 5) 512

+ 815

Subtract.

1) 35−2

5 2) 712

− 112 3) 5

10− 5

10 4)23−1

4 5) 78− 3

16

14

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7R UNIT 2

1) 58−3

8 2) 12−1

3 3) 49−1

6 4)89−4

9 5) 35−1

7

15

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7R UNIT 2Rules for Converting Improper Fractions to Mixed Numbers

1: Divide the numerator by the denominator. 2: The number of times your numerator can be divided into equally becomes your whole number.3: Your remainder becomes your new numerator and your denominator stays the same.

127

=1 57

Convert each improper fraction into a mixed number.

1. 154 = 2.

204 =

3. 127 = 4.

358 =

5. −73 = 6.

9−4 =

7. −43 = 8.

−64 =

Rules for Converting Mixed Numbers into Improper Fractions 1. Multiply your denominator by your whole number.2. Add the product to the numerator.3. Place your final answer over the original denominator.

3 45=19

5

Problem Set: – Turn the following mixed numbers into an improper fraction.

1. 123 2. 2

24

3. -313 4. -2

14

5. -312

6. -435

Lesson 4 – Adding and Subtracting Fractions

16

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7R UNIT 2HOMEWORK

Perform the given operation.

1) 14+ 15

16 2) 23+ 1

2 3)59+ 1

3+ 5

6

4) 7+ 1116 5) 2 1

8+9 7

8 6) 412+3 1

6

7) 15 67 8) 10

910 9) 4

1112

−1 34

−8 37 −3 1

10

10) 34+ 2

3 11) 9

10+ 7

8+3

5 12)75

16+3 1

4

3) 11 45+ 5

6 14) 12 34 15) 9

1720

−45

−5 12

17

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7R UNIT 2Lesson 5 – Multiplying Fractions

Aim: I can multiply fractions.

Warm up: Add and Subtract fractions (remember Integer rules):

1) 310

−(−25

) 2) −57

−15 3)

24−15

20

A. Multiplying Fractions

What is 138∙3 ?

Think of pizzas.

1 38 is one pizza and 3 eighths of another pizza

First, convert the mixed fraction, 138 , to an improper fraction, 11

8 .

Cut the whole pizza into eighths and how many eighths do you have in total?

________________________________________________

Now multiply that by 3.

1 38∙3=11

8∙3=¿

You have _______!And lastly, convert to a mixed number!

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7R UNIT 2

Rules for Multiplying Fractions

1. Convert each mixed number into an improper fraction2. Simplify/ Reduce vertically3. Simplify/ Reduce diagonally4. Multiply across5. If possible, convert back to a mixed number

B. Guided practice.

1) 12× 1

4 2) 15∙ 310 3)

−45× 5

8 4) 38∙ 49

5) −25×−15

16 6) 3 ∙14 *7) 2 ∙

12 *8)

56∙ 65

*What do you notice about both of the products in #’s 5 & 6 ? _______________________________________________

*What property does this illustrate? _____________________________________________________

C. Apply:

1) What is 12 of 40?

2) What is 23 of 60?

3) David allows 13 hour per pound to cook the roast. How long will it take to cook a 4

12 – pound roast?

19

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7R UNIT 2Lesson 5 – Multiplying Fractions

HOMEWORK

Solve. Write all answers in simplest form.

1a. 12∙2 1b.

13∙3 1c. 8 ∙

18

1d. Explain how questions 1a - 1c are similar.

1e. What property does this illustrate?

Solve. Write all answers in simplest from.

2) 16∙−2 3)

−34∙−1

6 4) ( 45 )

2

5) −5 12∙2 6) −2 3

5∙−1 1

6 7) 23∙−1 4

5

8) ( 12 )

3

9) 315∙−2 1

4 10) 413∙1 2

3

11) 6 ∙13 12) 1

23×−12 13) 10×4 1

5

14) 217×2 1

3 15) 25×3 3

4

20

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7R UNIT 2Lesson 6 – Dividing Fractions and Complex Fractions

Aim: I can divide and simplify complex fractions.

Warm up: What property is illustrated below?

34∙ 43=1 ______________________________

The ______________________________________________ Property states that __________________________

_____________________________________________________________________________________________________________

A. Vocabulary

Complex Fraction: _______________________________________________________________________

Reciprocal: ______________________________________________________________________________

Find the reciprocal of each number.

1.35 2.

67 3. 5

23 4. −2 1

7 5. 10

B. Complex Fractions

When working with complex fractions, what we want to do first is get rid of the denominator, so we can work the problem easier.

We can use the multiplicative inverse property to make the value of the denominator equal to 1.You might also recall that whatever we do to the fraction’s denominator, we must also do to its numerator, so as not to change the overall fraction “value”.

Here’s what happened…

Multiplying the numerator and denominator of our complex fraction by 35 , allowed us to use the

multiplicative inverse property to eliminate the denominator.

21

1235

1235

5353

¿ 56

∙∙

Rule: When dividing fractions we can just _______________________ the numerator by

the _________________________ of the denominator!

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7R UNIT 2Without our helpful rule, we would have to use all of the steps above every time we wanted to divide fractions. The rule for dividing fractions saves us a lot of steps!

Rules for Dividing Fractions

1. Convert each mixed number into an improper fraction2. Change the operation from division to multiplication 3. Flip the second fraction4. Continue the problem using the multiplication rules

Divide.

1) 12÷ 1

4 2) 310÷ 1

5 3) 38÷ 7

16 4) −23÷ 5

6 5) 316÷ 5

12

6) −79÷−7 7)

37÷ 3

7 8)−5÷ 35 9) 9÷2 1

4 10) 2 1

12÷3 3

4

Rules for Dividing and Simplifying Complex Fractions "Keep. Change. Flip."

1. Convert any Mixed Number into an Improper Fraction2. Keep the top fraction as is3. Change the operation from division to multiplication 4. Flip the bottom fraction next to the first fraction5. Continue the problem using the multiplication rules

Simplify.

1)

328

10

2) 253

3)

−1456

22

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7R UNIT 2

4)

−3443

5)

−32

−810

6) 62

12

Lesson 6 – Dividing Fractions and Complex FractionsHOMEWORK

1) 38÷ 6

7 2) −67÷ 3

8 3) 12÷ 7

16 4) −45÷−2

9 5) 25÷ 2

5

6)

3423

7)

2543

8)

−165

12

9)

−25

−85

10)3 1

825

11) 13 1

38

12) −6 1

4

2 12

13) 18+ 1

1035

14)

23+ 1

945+ 8

15

23

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7R UNIT 2

24

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7R UNIT 2Lesson 7 – Converting Between Fractions and Decimals

Aim: I can convert a fraction into a decimal and a decimal into a fraction.

Warm up: Multiply or Divide.

1) 513×6 3

4 2) −4 13∙−2 2

3 3) 414÷7 7

8

Types of Fractions Example

1. _______________________________ ________________

2. _______________________________ ________________

3. _______________________________ ________________

Types of Decimals Example

1. _______________________________ ________________

2. _______________________________ ________________

3. _______________________________ ________________

Fractions to Remember

14=.25 1

2=.5 3

4=.75 1

5=.2 2

5=.4 3

5=.6 4

5=.8

13=.3 2

3=.6 1

8=.125 3

8=.375 5

8=.625 7

8=.875

19=.1 2

9=.2 4

9=.4 5

9=.5 7

9=.7 8

9=.8

110

=.1 210

=.2 310

=.3

¿410

=.4 ¿510

=.5 610

=.6 710

=.7 810

=.8 910

=.9 1010

=1

25

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7R UNIT 2A. Converting Fractions to Decimals: Divide the denominator into the numerator.

1) 14 2) 4

9 3) 325

4) 489 5) 2

78 6)

195

B. Converting Decimals to Fractions or Mixed Numbers.

1. Determine what place the decimal goes to (tenth, hundredth, thousandth, etc.)2. Write the number in the numerator of a fraction with the place value in the denominator3. Simplify if possible

1) 0.75 2) 0.9 3) 2.125

4) 0.234 5) 3.2 6) 0.875

7) 0.4 8) 3.9 9) 0.45

10) The Mets won 77 out of 162 games in the 2011 regular season. a) Express this as a fraction.

b) Convert the fraction to a decimal (round to the nearest hundredth).26

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7R UNIT 2Lesson 7 – Converting Between Fractions and Decimals

HOMEWORK

Convert each fraction or mixed number to a decimal (round to the nearest hundredth if necessary):

1. 19 2.

78 3.

35

4. 249 5. 3

18 6.

75

7. 511 8. 2

37 9.

47

Convert each decimal to a fraction or mixed number:

13. 0.5 14. 0.91 15. 0.15

16. 0.23 17. 0.251 18. 0.625

19. 0. 2 20. 3.05 21. 0.36

Classify each of the following rational numbers as terminating or repeating decimals.

27

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7R UNIT 2

22.78 _____________________ 23.

23 _____________________

Lesson 8 – Compare and Order Rational Numbers

Aim: I can compare and order rational numbers.

Warm up: The Yankees won 97 out of 162 games in the 2011 regular season. [a] Express this as a fraction.

[b] Convert the fraction to a decimal (round to the nearest hundredth).

A. Ordering Rational Numbers from Least to Greatest

Method 1

1. Convert all numbers to decimals (all to the same place value).2. Compare and Order.

ex: 3

10, 14, 38 ,0.5 ,0.7

Method 2

1. Convert all numbers to fractions with a common denominator.2. Compare and Order.

ex: 3

10, 14, 38 ,0.5 ,0.7

Compare

1. 0.60.525 2. 34

38 3. 0.8

1720 4. 3

58 3.625

28

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7R UNIT 2

5. −0.25−0.2 6. −45

−79 7. 0.5

1120 8. 4

78 3.9

Order the given set of numbers from least to greatest.

1. 710,−1

8 ,0.25 ,0.9 2. 58,−3

4,1 3

8 ,1.25 ,−1.1

3. 13, 5

2 ,0.6 ,0.6 4. 35,−1

4,−3

4 , π

Plot the given set of numbers on the number line.

1. 710,−1

8 ,0.25 ,0.9 2. 258,− 1

4,−1 1

4 ,0.25 ,−1.75

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7R UNIT 2Lesson 8 – Compare and Order Rational Numbers

HOMEWORK

Compare.

1. 0.70.60 2. 3

20740 3. 0.4

920 4. 3

14 3.3

5. −0.5−0.7 6. −49

−59 7. 0.7

1520 8. 6

18 6.12

9. 0.4 0.4 10. −312

−14 11. −0.75 −0.7 12.4

19 4.5

Order the given set of numbers from least to greatest:

13. 34,−1

8 ,−0.5 ,0.1 14. 78,−5

4,5 3

8 ,−11

15. 25, 4

5,−2

5, 35 16.

75,1 1

5,−5

6 , π

Plot the given set of numbers which are from #13 and #14 above on the number line:

17. 34,−1

8 ,−0.5 ,0.1 18. 78,−5

4,5 3

8 ,−11

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7R UNIT 2

Lesson 9 – Using the Calculator

Aim: I can use a calculator to some fraction problems.

Warm up:

Ricardo, Emily, and Cara participated in a Quiz Bowl. Ricardo answered 11 questions and got 8 correct. Emily answered 25 questions and got 18 correct. Cara answered 18 questions and got 13 correct. For each contestant, write the fraction of the questions that he or she answered correctly. Then write each fraction as a decimal.

Ricardo

Fraction: _______

Decimal: ________

Emily

Fraction: _______

Decimal: ________

Cara

Fraction: _______

Decimal: ________

**Which contestant answered the greatest fraction of their questions correctly? ____________

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7R UNIT 2Solve the following using your calculator:

1) 16+ 2

3=¿ 2) 0 .98−6.3=¿ 3) 5

14−2 2

3=¿

4) 9.65×78.54=¿ 5) −310 ÷ 4

13=¿ 6) 9

18∙2 2

5=¿

Convert the following into a mixed number using your calculator:

7)166

=¿ 8) −223

5=¿ 9)

−65425

=¿

Convert the following into an improper fraction using your calculator:

10) 217=¿ 11) −8 5

14=¿ 12) −22 4

5=¿

Use your calculator to solve:

13) Mrs. Kurka’s family went for a trip. To make the journey interesting, they traveled the first

53 14 miles by car and the remaining 10 2

3 miles by horse. What was the total distance of the

trip?

14) 47 of birthday cake was eaten on your birthday. The next day your dad ate half of what was

left. You get to finish the cake. How much was left?

15) The recipe for mint chocolate chip ice cream requires 2.25 cups of cream for 5 people. You need ice cream for 10 people. How much cream will you need?

16) One parking lot at MetLife Stadium will hold 1000 vehicles. At 10:00 there were 400 cars and32

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7R UNIT 2

some trucks in the parking lot. The parking lot was 34 full. How many trucks were in the

parking lot?

Lesson 9 – Using the CalculatorHOMEWORK

Solve the following using your calculator:

1) 15+ 2

7=¿ 2)

94110

+(−1538

)=¿ 3) 64.6×−93.1=¿

4) −1215

× 14=¿ 5) −8 4

9 ÷ −2 37=¿ 6) 10 5

7×−2 6

9=¿

Convert the following into a mixed number using your calculator:

7)258

=¿ 8) −3871

6=¿ 9)

−6763

Use your calculator to solve.

10) Vincent ordered pizza for him and his wife for dinner. When they had finished, they realized

that 58 of the pizza was gone. For lunch the next day, Vincent decided to eat

14 of what was left.

How much was left after lunch?

11) Ms. Renalds decided to participate in a triathlon. She first had to run 4.5 miles. Next, she swam 3.25 miles and then finished the remaining 15.75 miles by bike. What was the total distance of the triathlon?

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7R UNIT 2

12) Mr. Manning was baking brownies. His recipe called for 3 12 cups of melted chocolate to make

enough brownies for 24 people. He is having 72 people over for his birthday. How much chocolate will he need?

Name: _______________________________________ Period: __________

7R Unit 2 Review Sheet

Round the following decimals to the:

a) nearest tenth:b) nearest hundredth:c) nearest whole number:

1) 18.1286 2) 2.4234 3) 3.2978

Write each fraction or mixed number as a decimal.

4)

23 5)

12 6)

2 45

Write each decimal as a fraction.

7) .6 8) .45 9) 4.3

Replace with <, >, or =.

10)

45

56 11) .35

13 12) 5.1

5 15

Order the set of rational numbers from least to greatest. Graph on the number line.

13) {15 , 3.8,

2 23 , 0.75 } 14) {

63 , 1.5,

2 13 ,

4 38 }

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7R UNIT 2

Graph on the number line. Graph on the number line.

0 1 2 3 4 1 2 3 4 5Convert the following into a mixed number or an improper fraction:

15) 213 16)

165 17) 6

56

Find the sum or difference:

18) 4.1 + 2.9 19) -12.8 + 3 20) 12.362 – (-3.41)

Find the product: 21) (4.3)(1.45) 22) (6.3)(-7.4) 23) (-13.1)(-2.6)

Find the quotient:

24) 15.8 2 25) −220.4 26)

12.152.7

Find each sum or difference:

27) 14+ 3

6 28) 712

−13 29) 3

5−1

3

30) 33

10−(−1 3

5) 31) 4−2 3

10 32) -3 12±4 1

3

Find each product or quotient:

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7R UNIT 2

33) 58∙ 25 34) 3

8÷ 2

3 35)

2345

36) 356∙2 1

4 37) 3 35÷1 1

5 38) 6

3 35

39) What is 34 of 24?

Word Problems:

40) Monica had 18 cookies. If Monica ate 16 of the cookies after dinner, how many cookies were left?

41) Joe made two types of desserts. He used 23 cups of sugar for one recipe and

14 cups of sugar for the other

recipe. How much sugar did he use in all?

42) Six cases of paper cost $43.50. How much does one case cost?

Unit 2 Vocabulary:

Sum: ____________________________________________ Simplify: __________________________

Difference: _______________________________________ Convert: ___________________________

Product: _________________________________________ LCD: _____________________________

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7R UNIT 2Quotient: ________________________________________ Complex Fraction: ___________________

Numerator: _______________________________________ _____________________________

Denominator: _____________________________________

Reciprocal: _______________________________________

Improper Fraction: _________________________________

Mixed Number: ___________________________________

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