Exam 6: Meanings for Fractions

Which is closer to 1/2-8/15 or 3/7?

Fill in the blank cells in the table below so that the numbers in each row are equivalent to the given number. \begin{array}{llcc} \text { Fraction } & \text { Decimal } &\text { Percent } \\ \text {a. \frac{13}{20} } &\\ &\text { b. 0.00089} &\\&& \text {c. \( 12.25 \% \) } &\\ \text { d. \( \frac{43}{4} \) } &\\\end{array}

Given a number line and only the points for the indicated fractions, accurately locate and label the point for the number in each part. If your markings do not make your reasoning clear, add an explanation. A) 10 B) 9

Write the simplest fraction form for each: A) $\frac { 9 \times 16 \times 18 } { 12 \times 8 \times 15 }$ B) $\frac { z y ^ { 3 } x ^ { 2 } } { y ^ { 4 } z ^ { 5 } }$

Given a number line and only the points for the indicated fractions, accurately locate and label the point for the number in each part. If your markings do not make your reasoning clear, add an explanation. A) 1 B) 2

Circle each fraction that has a terminating decimal, without calculating the decimal. A) $\frac { 749327 } { 2 \times 10 ^ { 6 } }$ B) $\frac { 3000005 } { 6 \times 10 ^ { 8 } }$ C) $\frac { 21000042000014 } { 350 }$

1.5% =

A) Make a drawing that shows 2/5 of a discrete whole. B) Make a drawing that shows 2/5 of a continuous whole.

Put these amounts in INCREASING order without any hand calculation: 0.0239 8\%

What is the exact decimal equivalent of each fraction? A) $\frac { 2 } { 5 }$ B) $\frac { 2 } { 7 }$

Use number sense to order these fractions and decimals from smallest to largest, using the symbol <. $0.1\quad\frac{17}{35}\quad\frac{1}{8}\quad\frac{2}{3}\quad\frac{1}{5}\quad0.85\quad\frac{9}{10}\quad59\%$

Bill and Tom have pieces of land that are the same size. Each plants flowers on part of his land, as shown in the sketches. The shaded part shows Bill's flowers: The shaded part shows Tom's flowers: Who has more land in flowers? Explain your choice.

15% =

Which fraction is closer to 0-1/8 or 1/9? Explain without referring to decimals.

Fractions are always less than 1.

How would you convince a child with visual evidence that $\frac { 2 } { 3 } = \frac { 4 } { 6 }$ ?

As a fraction, 1.4 =

Show how you would mentally compute the exact results. Explain your thinking. A) $\frac { 3 } { 7 } + \frac { 7 } { 8 } + \frac { 4 } { 7 } + \frac { 1 } { 4 }$ B) $\frac { 1 } { 7 } + \frac { 3 } { 10 } + \frac { 4 } { 7 } + \frac { 7 } { 10 }$ C) $\frac { 18 } { 24 } \times \frac { 80 } { 2 } \times \frac { 21 } { 42 } \times$ 100% = ___ D) 114 - 24 $\frac { 3 } { 8 }$ = ___

Which amount is/are close, or equal, to 1/3? There may be more than one. 0.2_six, 3/5, 40/119, 10²/10⁶, 175/301, 297/600

Given a number line and only the points for the indicated fractions, accurately locate and label the point for the number in each part. If your markings do not make your reasoning clear, add an explanation. A) 7/8 B) 1