Systems of Measurement Quiz

PDF page 14: The most basic numbers used in algebra are the numbers we use to count objects in our world: 1, 2, 3, 4, and so on. These are called the counting numbers. Counting numbers are also called natural numbers. If we add zero to the counting numbers, we get the set of whole numbers. Counting Numbers: 1, 2, 3, ... Whole Numbers: 0, 1, 2, 3, ... The notation “...” is called ellipsis and means “and so on,” or that the pattern continues endlessly. We can visualize counting numbers and whole numbers on a number line (see Figure 1.2).

PDF page 14: The most basic numbers used in algebra are the numbers we use to count objects in our world: 1, 2, 3, 4, and so on. These are called the counting numbers. Counting numbers are also called natural numbers. If we add zero to the counting numbers, we get the set of whole numbers. Counting Numbers: 1, 2, 3, ... Whole Numbers: 0, 1, 2, 3, ... The notation “...” is called ellipsis and means “and so on,” or that the pattern continues endlessly. We can visualize counting numbers and whole numbers on a number line (see Figure 1.2).

PDF page 14: The most basic numbers used in algebra are the numbers we use to count objects in our world: 1, 2, 3, 4, and so on. These are called the counting numbers. Counting numbers are also called natural numbers. If we add zero to the counting numbers, we get the set of whole numbers. Counting Numbers: 1, 2, 3, ... Whole Numbers: 0, 1, 2, 3, ... The notation “...” is called ellipsis and means “and so on,” or that the pattern continues endlessly. We can visualize counting numbers and whole numbers on a number line (see Figure 1.2).

PDF page 14: Our number system is called a place value system, because the value of a digit depends on its position in a number. Figure 1.3 shows the place values. The place values are separated into groups of three, which are called periods. The periods are ones, thousands, millions, billions, trillions, and so on. In a written number, commas separate the periods.

PDF page 15: a The 7 is in the thousands place. b The 0 is in the ten thousands place. c The 1 is in the tens place. d The 6 is in the ten-millions place. e The 3 is in the millions place.

PDF page 15: Step 1. Start at the left and name the number in each period, followed by the period name. Step 2. Put commas in the number to separate the periods. Step 3. Do not name the ones period.

PDF page 17: In 2013, the U.S. Census Bureau estimated the population of the state of New York as 19,651,127. We could say the population of New York was approximately 20 million. In many cases, you don’t need the exact value; an approximate number is good enough. The process of approximating a number is called rounding. Numbers are rounded to a specific place value, depending on how much accuracy is needed. Saying that the population of New York is approximately 20 million means that we rounded to the millions place.

PDF page 17: Step 1. Locate the given place value and mark it with an arrow. All digits to the left of the arrow do not change. Step 2. Underline the digit to the right of the given place value. Step 3. Is this digit greater than or equal to 5?

PDF page 17: ◦ Yes–add 1 to the digit in the given place value.

PDF page 17: Step 4. Replace all digits to the right of the given place value with zeros.

PDF page 20: • 2 if the last digit is 0, 2, 4, 6, or 8.

PDF page 20: • 6 if it is divisible by both 2 and 3.

PDF page 20: Is the sum divisible by 3? Yes. 5,625 is divisble by 3. Is 5,625 divisible by 5 or 10? What is the last digit? It is 5. 5,625 is divisble by 5 but not by 10. Is 5,625 divisible by 6? Is it divisible by both 2 or 3? No, 5,625 is not divisible by 2, so 5,625 is not divisible by 6.