Based on what you've read, answer the following questions. Think about what you've learned about whole numbers. Then study the f
ollowing sequence. What is the next letter in the sequence? O, T, T, F, F, S, S, ? In your own words, define each of the following terms. a. Whole number b. Digit c. Place value d. Rounded number e. Equals Insert commas in the following numbers. a. 13886 b. 365 c. 719463 d. 40047209 e. 2145739180 f. 1783457 Write the word names for each of the numerals in the following paragraph. One popular fast-food chain ordered (a) 2,400,000 slices of cheese last year. In December, the chain reached its goal of serving a total of (b) 40,000,000,000 cheeseburgers since opening. This was enough cheeseburgers to make a stack (c) 473,500 miles high. Also, the number of shakes served last year could have filled (d) 1,200 swimming pools. Write numerals for each of the italicized number word names found in these examples. Earth’s moon is (a) two million, one hundred fifty-five thousand, one hundred twenty miles across. The closest distance between Earth and the moon is (b) two hundred twenty-five million, sixty thousand miles. The farthest distance between them is (c) two hundred fifty-one million, seven hundred twenty thousand miles. Name the position held by the digit 5 in each numeral. a. 952 b. 5,432 c. 115 d. 50,768 e. 113,598 f. 5,027,649 In the number 7,890,432, name the digit located in each of these positions. a. Hundreds b. Millions c. Ten thousands d. Tens e. Hundred thousands f. Thousands Which of the numbers in each pair is farther to the left on the number line? a. 305 and 17 b. 187 and 900 c. 16 and 46 d. 157,019 and 149,984 Replace the ? in each of these statements with the symbol >, <, or =. a. 39 ? 38 b. 16 ? 16 c. 11 ? 315 d. 5 ? 4 In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people a. to the nearest thousand. b. to the nearest million. c. to the nearest hundred million. d. to the nearest hundred thousand.
1) the letters in the sequence are in the order of first letter of numbers. the sequence thats in the numerical order - one, two , three... each number is taken and the first letter of the word is taken for the sequence, one - first letter of one is O O(one), T(two), T (three), F (four), F(five), S(six), S(seven),(eight) first letter of eight is E, so next letter in the sequence is E
2) a- whole number whole numbers are integers that don't have any decimal places and are not fractions either. b- digit digit is a single number that can hold a position in a numerical value. for example 7 in 7000 is holding the thousands digit. And in number 7000 we can call it a 4 digit number as there are 4 digits in it. c - place value this is when a number holds a certain value depending on its position/ place in the numerical value. for example in 200, number 2 is in the hundreds place therefore its having a value of 2 counts of hundred , therefore has a place value of 200. place value means that each place has a value 10 times of that of the value to its right. so 2 is in the hundreds place, right of that is tens place, hundreds place value is 10 times of tens value = 10*10 = 100 therefore when number 2 is in the hundreds places its 2*100 = 200 d - rounded number rounded number is when a number is made to a simpler form. rounding off can be done to any place of the number. Its to bring it to a simpler number by dropping off the unnecessary digits to make it easier to work with e - equals equals is when a number is equal in value to another number. By equalling it means that the value on the right side of the equals sign is equal to the value on the left side of the equals sign
3) we are asked to insert commas in the following numbers. Commas are inserted for convenience to add breaks to the number so that its easy to read out the number and to see if the number is a thousand, million or billion by looking at the number of commas. Commas are inserted in numbers with 4 or more digits, after every three digits from right to left. <span>a. 13,886 b. 365 c. 719,463 d.40,047,209 e. 2,145,739,180 f. 1,783,457
4) when writing word names, the numbers are read out for every three digits for the right to left. first 3 digits are written as it is, next 3 digits are written as thousand, next 3 digits as million and 3 digits after that as billion we are asked to write the word names for the following numerals; </span><span>(a) two million four hundred thousand (b) forty billion (c)four hundred seventy three thousand five hundred (d)one thousand two hundred
5) when writing numerals from thousands same rules apply. first three digits as it is, next three digits are thousands and 3 digits to the left of that are millions </span><span>(a)2,155,120 (b)225,060,000 (c)251,720,000
6) depending on where number 5 is in the number, it will hold different values. for example in 5234, 5 holds the thousands place, 2 holds the hundreds place, 3 in tens place and 4 in ones place. </span><span>a. tens b. thousands c. ones d. ten thousands e. hundred thousands f. millions </span> 7) this shows the value of each position 7, 8 9 0 , 4 3 2 hundred ten ones hundred ten ones hundred ten ones --------million------- ----------thousand--- ---------ones----------- <span>7,890,432, name the digit located in each of these positions. a. Hundreds - 4 b. Millions - 7 c. Ten thousands - 9 d. Tens - 3 e. Hundred thousands - 8 f. Thousands - 0
8) in the number line the lesser number to the left of the number line and the greater number is to the right of the number line </span><span>Which of the numbers in each pair is farther to the left on the number line? a.17 -17 is smaller than 305 therefore its farther to the left than 305 b. 187 c. 16 d. 149 984</span>
Q9)symbol > is when the number on the left is greater than the number on the right symbol < is when the number on the right is greater than the number on the left = is when both the numbers on either side of the symbol are equal to each other<span> a.39 > 38 b. 16 = 16 c. 11 < 315 d. 5 > 4
10) In rounding off, the digit which you're rounding off, the digit to the right of that digit should be considered. If the digit to the right is 5 or greater than 5, then the digit which you're rounding off increases by a value of 1. If the digit to the right is less than 5 then the digit which you're to round off stays as it is. All the digits too the right of the digit being rounded off becomes zeroes.</span><span> 1,360,760,100. Round off a. thousands place digit is 0,digit to the right is 1, since 1<5 then, 0 stays as it is and all the digits to the right of 0 are dropped off and becomes zeroes - 1,360,760,000 b. millions digit is 0, digit to the right is 7, then its greater than 5, 0 then increases by 1 and becomes 1, all the digits to the right of 1 become dropped off and turns into zeroes. - 1,361,000,000 c. hundred million is 3 right of that is 6, 6>5 therefore 3 increases by 1 - 1,400,000,000 d. hundred thousand is 7 and digit to the right is 6, then 7 increases by 1 - 1,360,800,000</span>
A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = . Thus, this is a horizontal line and the statement is correct.
B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.
Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.
C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = = undefined. So, this is a vertical line and the statement is true.
D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.
where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:
