Numbers and Algebra - Number Theory Concepts- Quiz 3
There is a 15% increase in tuition at the local university for next fall. If the current tuition is $3,500 per semester, which equation could be used to find x, the new tuition for the fall?
1.15 • 3500 = x If the tuition remained the same, then 100% of 3500 or $3,500 would be the new tuition. The 100% becomes 1 when used in computation: recall that all percents must be changed to decimal notation before being used in a computation.
A survey was taken of all 1,400 students at Ash Valley Elementary and ⅛ said that their favorite lunch menu item was spaghetti. Which of the following computations can be used to determine the number of students who claimed spaghetti as their top choice?
1400 × 0.125 The fraction ⅛ can be converted to a decimal by dividing 1 by 8 for 0.125. This multiplied by the total number of students (1400) will provide a solution for the number of students picking spaghetti.
Put these fractions, decimals and percentages in order from greatest to least: 15%, 0.34, 245%, 2 ¾, 1.5, 1/15
2 ¾, 245%, 1.5, 0.34, 15%, 1/15 It is easiest to convert these numbers to decimals and then order them. 15% = 0.15, 0.34 = 0.34, 245% = 2.45, 2 ¾ = 2.75, 1.5 = 1.5, 1/15 = 0.067
Students are measuring various objects around the classroom. A pencil measures 8 ⅜ inches while a pair of scissors measures 5 ½ inches. How much longer is the pencil than the pair of scissors?
2 ⅞ inches First find the least common denominator for the fractions, which is 8. 8 \frac{3}{8}-5\frac{4}{8}= ?883−584=? The fractions cannot be subtracted as they are because \frac{4}{8}84 is larger than \frac{3}{8}83. Borrow one whole (\frac{8}{8}88) to make the mixed number 7 \frac{11}{8}7811. 7\frac{11}{8}-5\frac{4}{8}= 2\frac{7}{8}7811−584=287 inches
If the value of A equals 1/5 and the value of B equals 1/2, which of the following equals C?
21/25 Point A is equal to 1/5 therefore each hash mark is equal to 1/5. C is closest to 4/5, however it is slightly more. 4/5 = 20/25 so 21/25 is the best answer.
Put the following fractions in order from least to greatest: \frac{1}{2}, \frac{3}{4}, \frac{5}{7}, \frac{3}{16}21, 43, 75, 163
3/16, 1/2, 5/7, 3/4 The easiest way to order these is to convert them to decimals and round to the hundredths place: 1/2 = 0.5 3/4 = 0.75 5/7 = 0.71
Shep has the numbers 1 through 8 to arrange in the largest possible number with each numeral only being used once. The 8 must be in the ten-thousands place. What number did he create?
76,584,321 The ten-thousands place is 5 digits to the left of the decimal. The rest of the numbers must be in descending order to create the largest number possible.
Which symbol most accurately reflects the relationship between the two numbers below? 0.6 ☐ 3/5
= Since 0.6 and 3/5 (0.6) are equal, this is the correct symbol.
The table shown gives the number of cookies sold by each person at a bake sale. Who has not sold ⅓ of their cookies? Name Number of cookies baked Number of cookies sold Margo 27 9 Kirby 18 6 Hazel 32 8 Fitz 21 7
Hazel Hazel has sold 8 out of 32 cookies. As a fraction, 8/32 = ¼.
Students were asked to draw a picture representation of adding 2 fractions. What equation is represented by the picture below?
⅔ + ½ = 1 ⅙ This is the equation represented. The boxes are drawn to show a common denominator between ⅔ and ½ of 6.
