2. Main Idea and New Vocabulary NGSSS Key Concept: Rational Numbers
Example 1: Write a Fraction as a Decimal
Example 2: Write a Fraction as a Decimal
Example 3: Real-World Example
Example 4: Write Decimals as Fractions
Example 5: Write Decimals as Fractions
Five-Minute Check
Lesson Menu

3. Express rational numbers as decimals and decimals as fractions.
terminating decimal
repeating decimal
Main Idea/Vocabulary

4. Preparation for MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.
NGSSS

5. Key Concept

6. Write a Fraction as a Decimal
Write as a decimal.
means 3 ÷ 16. .1 8 7 5
Divide 3 by 16.
Example 1

7. Write a Fraction as a Decimal
Answer:
Example 1

8. Write as a decimal.
A. 0.55 B C
D. 1.7 _
Example 1 CYP

9. Write a Fraction as a Decimal
Write as a decimal.
can be written as
Divide 35 by 11 and add a negative sign. 3
–33 20
–11 90
–88 2
Example 2

10. Write a Fraction as a Decimal
Answer:
Example 2

11. Write as a decimal. A. B.
C. 5.5
D. 5.7
Example 2 CYP

12. FRUIT When Juliana went strawberry picking, 28 of the 54 strawberries she picked weighed less than 2 ounces. To the nearest thousandth, find the fraction of the strawberries that weighed less than 2 ounces.
To find the fraction of the strawberries that weighed less than 2 ounces, divide the number of strawberries that weighed less than 2 ounces, 28, by the total number of strawberries, 54.
28  ENTER
Look at the digit to the right of the thousandths place. Since the digit is 5, round up.
Example 3

13. Answer:. The fraction of the strawberries that
Answer: The fraction of the strawberries that weighed less than 2 ounces was
Example 3

14. SCHOOL In Mrs. Townley’s eighth grade science class, 4 out of 22 students did not turn in their homework. To the nearest thousandth find the fraction of students who did not turn in their homework. A B C D
Example 3 CYP

15. Write a Fraction as a Decimal
Write 0.32 as a fraction.
is 32 hundredths.
Simplify.
Answer:
Example 4

16. Write 0.65 as a fraction. A. B. C. D.
Example 4 CYP

17. Write Decimals as Fractions
ALGEBRA Write as a mixed number in simplest form.
Assign a variable to the value Let N = Then perform operations on N to determine its fractional value.
Example 5

18. Write Decimals as Fractions
10(N) = 10( ) Multiply each side by 10 because 1 digit repeats.
10N = Multiplying by 10 moves the decimal point 1 place to the right.
− N = Subtract N = to eliminate the repeating part.
9N = 25 Simplify.
N = Divide each side by 9. __ 9 25
Answer:
Example 5

19. Write –0.45 as a fraction in simplest form.__ A. B. C. D.
Example 5 CYP

20. Write as a decimal. A. 0.785 B. 0.85 C. 0.875 D. 1.142857 ________
Five Minute Check 1

21. Write as a decimal. A. 0.4 B. 0.416 C. 0.416 D. 2.4 __ _
Five Minute Check 2

22. Write as a decimal.
A. 2.3
B. 2.15
C. 1.15
D. 0.15
Five Minute Check 3

23. Write 0.08 as a fraction in simplest form.B. C. D.
Five Minute Check 4

24. Write 1.375 as a mixed number in simplest form.C. D.
Five Minute Check 5

25. The largest moth is the Atlas moth. The Atlas moth is 11.8 inches long. Which of the following is the length of an Atlas moth written as a mixed number? A. B. C. D.
Five Minute Check 6