Question

topic review
vocabulary
choose the best term from the box to complete each definition.

1. a __________ names part of a whole, part of a set, or a location on a number line
2. the number above the fraction bar that represents the part of the whole is the __________
3. the number below the fraction bar that represents the total number of equal parts in one whole is the __________.

fractions and decimals
write each fraction as a decimal.
4.
5.
6.
7.
8.
9.
division with decimals
divide.

1. (1.25div0.5)
2. (13div0.65)
3. (12.2div0.4)

ordered pairs
write the ordered pair for each point shown on the graph.
13.
14.
15.
16.
plot each point on the coordinate plane.

1. (a(6,2))
2. (b(1,3))
3. (c(5,7))
4. (d(3,4))

explain

1. leo said that the quotient of (3.9div0.75) is (0.52). explain how you know leo is incorrect without completing the division.

Explanation:

Step1: Match vocab to definitions

1. A fraction names part of a whole, part of a set, or a location on a number line.
2. The number above the fraction bar is the numerator.
3. The number below the fraction bar is the denominator.

Step2: Convert fractions to decimals

1. $\frac{2}{5} = 2 \div 5 = 0.4$
2. $\frac{3}{4} = 3 \div 4 = 0.75$
3. $\frac{10}{4} = 10 \div 4 = 2.5$
4. $\frac{12}{8} = 12 \div 8 = 1.5$
5. $\frac{3}{8} = 3 \div 8 = 0.375$
6. $\frac{13}{3} = 13 \div 3 = 4.\overline{3}$

Step3: Divide decimals

1. $1.25 \div 0.5 = \frac{1.25}{0.5} = 2.5$
2. $13 \div 0.65 = \frac{13}{0.65} = 20$
3. $12.2 \div 0.4 = \frac{12.2}{0.4} = 30.5$

Step4: Verify ordered pairs

1. $K: (0, 5)$
2. $J: (4, 3)$
3. $L: (6, 8)$
4. $M: (7, 1)$

Step5: Explain decimal division error

1. When dividing a number greater than 1 by a number less than 1, the quotient is larger than the original number. $3.9 > 1$ and $0.75 < 1$, so the quotient must be greater than 3.9, not 0.52.

Answer:

1. fraction
2. numerator
3. denominator
4. $0.4$
5. $0.75$
6. $2.5$
7. $1.5$
8. $0.375$
9. $4.\overline{3}$
10. $2.5$
11. $20$
12. $30.5$
13. $(0, 5)$
14. $(4, 3)$
15. $(6, 8)$
16. $(7, 1)$
17. (Plot point at x=6, y=2 on coordinate plane)
18. (Plot point at x=1, y=3 on coordinate plane)
19. (Plot point at x=5, y=7 on coordinate plane)
20. (Plot point at x=3, y=4 on coordinate plane)
21. When dividing a number greater than 1 by a number less than 1, the quotient is larger than the original number. Since $3.9 > 1$ and $0.75 < 1$, the quotient must be greater than 3.9, so 0.52 cannot be correct.