MATHLINKS: GRADE 7 STUDENT PACKET 1 FRACTIONS AND …

Name ___________________________

Period _________ Date ____________

7-1

STUDENT PACKET

MATHLINKS: GRADE 7 STUDENT PACKET 1 FRACTIONS AND DECIMALS

1.1

Terminating Decimals

1

Convert between fractions and terminating decimals.

Compute with simple fractions.

1.2

Repeating Decimals

7

Explore patterns in repeating decimals.

Convert between fractions and repeating decimals.

Compare, order, and add common fractions and decimals.

1.3

Graphing Fractions and Decimals

16

Compare and order fractions and decimals.

Locate fractions and decimals on number lines.

Graph ordered pairs.

Scale graphs appropriately.

1.4

Skill Builders, Vocabulary, and Review

25

MathLinks: Grade 7 (Student Packet 1)

Fractions and Decimals

WORD BANK

Word or Phrase

Definition or Description

benchmark fraction

Example or Picture

coordinate plane

decimal

division

fraction

ordered pair

repeating decimal

terminating decimal

MathLinks: Grade 7 (Student Packet 1)

0

Fractions and Decimals

1.1 Terminating Decimals

TERMINATING DECIMALS

Summary

We will learn various strategies to convert between fractions and terminating decimals.

Goals

Convert between fractions and terminating decimals.

Compute with simple fractions.

Warmup

A fraction is a number that is expressible in the form

a b

where

a

is a whole number and

b

is a positive whole number.

Use the hundred grids to find the decimal equivalents for the following fractions.

1.

1 = _______

2

2.

1 = _______

4

Write the decimal value for each quantity. 3. one-half of a dollar $________

4. one-fourth of a dollar $________

5.

1 = _____ 6.

2 = _____ 7.

7 = _____ 8.

9 = _____

10

10

10

10

9.

1 100

=

_____

10.

2 100

=

_____

11.

17 100

=

_____

12.

90 100

=

_____

13. Which of the two values from problems 5 through 12 are equal?

MathLinks: Grade 7 (Student Packet 1)

1

Fractions and Decimals

1.1 Terminating Decimals

ALL ABOUT FOURTHS

1.

What is the relationship between

1 2

and

1 4

?

2.

Here are two different methods to find the decimal equivalent for

1 4

.

Method 1

Method 2

Rename the fraction

1 4

with a denominator

that is a power of 10.

1

4

=

100

Use the fact that

1 2

= 0.5 = 0.

1 of __________ is __________ . 2

Therefore 1 = ______________ . 4

Therefore

1 4

=

___________ .

3. Complete the table.

Fraction

0 4

1 4

2 4

3 4

4 4

Decimal

4. Show how to use the decimal equivalent for 1 to find the decimal equivalent for 3 by

4

4

addition or multiplication.

5. Show how to use the decimal equivalent for 4 to find the decimal equivalent for 3 by

4

4

subtraction.

6. Is it true that 4 = 2 ? Explain.

4 2

MathLinks: Grade 7 (Student Packet 1)

2

Fractions and Decimals

1.1 Terminating Decimals

BENCHMARK FRACTIONS AND DECIMALS

A benchmark fraction refers to a fraction that is easily recognizable. Benchmark fractions are commonly used in everyday experiences.

Write decimal equivalents for each of the following fractions.

1.

1 = _____ 2 = _____

3 = _____

7 = _____

10

10

10

10

9 = _____ 10

Describe an easy way to remember these kinds of fraction-decimal equivalents.

2.

1 = _____ 2 = _____ 9 = _____ 10 = _____ 99 = _____

100

100

100

100

100

Describe an easy way to remember these kinds of fraction-decimal equivalents.

3.

1 = _____ 1 = _____

2 = _____ 3 = _____

2

4

4

4

Describe an easy way to remember these kinds of fraction-decimal equivalents.

4. What is the relationship between 1 and 1 ? Use this relationship to find a decimal

5

10

equivalent for 1 .

5

5. What is the relationship between 1 and 1 ? Use this relationship to find a decimal

8

4

equivalent

for

1 8

.

MathLinks: Grade 7 (Student Packet 1)

3

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