Quiz 1- Classifying rational numbers, integers, net worth...

Which describes a rational number?

• Any number found on a number line

• All numbers greater than 0

• Any number that can be expressed as the ratio of two integers where the denominator is not 0

• Any Decimal number

Answer explanation

Pythagoras is the ancient Greek mathematician who mainly invented the rational numbers. Rational number is the number is especially expressed as quotient or fraction p/q of 2 integers

Tags

CCSS.8.NS.A.1

This Venn diagram shows the relationship of the subsets of the real number system. Which of the following sets would belong to the natural numbers?

• {6, -5, 1.25}

• $\left\{2,\ 4,\ 0.\overline{3}\right\}$

• {-8, 4, 13, 25}

• $\left\{\frac{\text{16}}{\text{4}},\ 8,\ 7,\ 9\right\}$

Answer explanation

The most familiar numbers are the natural numbers, which to some mean the non-negative integers and to others mean the positive integers. In everyday parlance the non-negative integers are commonly referred to as whole numbers, the positive integers as counting numbers.

Which number is a rational number that is NOT a whole number?

• 2

• 12

• $\frac{30}{10}$

• $\frac{17}{5}$

Answer explanation

The story of fractions dates back to one of the oldest civilizations, the Egyptians. Although fractions have been apart of our history for a long time, fractions were not considered numbers. Fractions were just used as a way to compare whole numbers with each other.

A doctor has an annual salary of income of $152,125. The income tax the doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?

Answer explanation

The first federal income tax was created in 1861 during the Civil War as a mechanism to finance the war effort. ... In the early 20th century, the income tax enjoyed renewed support and, in February of 1913, the Sixteenth Amendment to the Constitution was ratified, granting Congress the power to tax personal income.

Tags

CCSS.6.RP.A.3C

Esther wants to save $65.65 to buy her mother a special birthday gift. She has 13 weeks to save the money. If she wants to save the same amount each week, how much money, in dollars and cents, does she need to save each week?

Answer explanation

In the 15th century, people used kitchen pots made of an economical clay called “PYGG” to save their spare coins. The word evolved to “pig” and eventually to “piggy bank”.

Tags

CCSS.6.NS.B.3

Samantha gave the clerk at a store $40.00 to pay for her groceries. The clerk gave her the correct change, $3.80. How much were Samantha's groceries?

• $36.40

• $37.80

• $36.20

• $37.20

Answer explanation

The first self-service grocery store, Piggly Wiggly, was opened in 1916 in Memphis, Tennessee, by Clarence Saunders, an inventor and entrepreneur. Prior to this innovation, grocery stores operated "over the counter," with customers asking a grocer to retrieve items from inventory.

Tags

CCSS.6.NS.B.3

Jonas is using a strip of wood that is 2.75 feet long. He cuts off a piece that is 1.5 feet. What is left of the original strip?

Answer explanation

The history of the lumber industry in the United States spans from the precolonial period of British timber speculation, subsequent British colonization, and American development into the twenty-first century.

Tags

CCSS.6.NS.B.3

Mrs. Walton has  $3\ \frac{1}{2}$  quarts of milk. How much milk will she have if she uses  $1\ \frac{3}{4}$  quarts of milk to make ice cream?

•  $1\ \frac{3}{4}$  quarts

•  $1\ \frac{1}{2}$  quarts

•  $2\ \frac{3}{4}$  quarts

•  $2\ \frac{1}{2}$  quarts

Answer explanation

An ice-cream-like food was first eaten in China in 618-97AD. King Tang of Shang, had 94 ice men who helped to make a dish of buffalo milk, flour and camphor. A kind of ice-cream was invented in China about 200 BC when a milk and rice mixture was frozen by packing it into snow.

Tags

CCSS.7.NS.A.1C

Mrs. Fabian asked each of her 30 piano students to select their favorite type of music?

*  $\frac{1}{5}$  of the students chose classical music

*  $\frac{1}{3}$  of the students chose country music.
* The remaining students chose rock music as their favorite type of music.

How many students chose rock music as their favorite music?

• 14

• 10

• 4

• 6

Answer explanation

The earliest forms of music were probably drum-based, percussion instruments being the most readily available at the time (i.e. rocks, sticks). These simplest of simple instruments are thought to have been used in religious ceremonies as representations of animals. There was no notation or writing of this kind of "music" and its sounds can only be extrapolated from the music of (South) American Indians and African natives who still adhere to some of the ancient religious practices.

Tags

CCSS.7.EE.B.3

The price of a DVD is $24.00 plus 8% tax. What is the sales tax on this DVD in Dollars and cents.

Answer explanation

In November 1995, Samsung announced it would start mass-producing DVDs by September 1996. The format launched on November 1, 1996 in Japan, mostly only with music video releases. The first major releases from Warner Home Video arrived on December 20, 1996, with four titles being available.

Tags

CCSS.6.RP.A.3C