Question

Compare each whole number in the following pairs. Insert the symbol < or > to make the statement true. a. 15 _____ 8 b. 4 _____ 134 c. 3 _____ 5 d. 351 _____ 215 Replace each ? with the symbol = or ≠ to make the statement true. a. 54 ? 53 b. 8 ? 4 + 4 c. 23 + 6 ? 6 + 23 d. 64 ? 99 Compare the fraction by using the symbol < , <, or =. a. 4⁄9 _____ 5⁄9 b. 4⁄5 _____ 8⁄10 c. 7⁄12 _____ 7⁄15 d. 3⁄4 _____ 6⁄7 Compare the decimals by using the symbol < or >. a. 0.531 _____ 0.456 b. 0.63 _____ 0.47 c. 0.267 _____ 0.539 d. 0.07 _____ 0.7 In each of the following pairs of numbers, how much larger is the first number than the second? a. 154 and 27 b. 25 and 12 c. 135 and 127 d. 46 and 24 Phyllis has finally found the TV she wants to buy. At Store A, the TV costs $498. At Store B, the same style TV costs $425. How much will Phyllis save by buying the TV at Store B? Both Dale and Chan went running for an hour. Dale ran 5 miles and Chan ran 2.5 miles. How did Dale’s distance compare to Chan’s? (Use division to compare.) Compare the numbers in the following sequence and try to determine what the next number should be. 6, 9, 18, 21, 42, 45, ?

Answer 1

Question 1)
a) Since 15 is greater than 8, the correct expression will be:
15 > 8

b) Since 4 is less than 134, the correct expression will be:
4 < 134

c) Since 3 is less than 5, the correct expression will be:
3 < 5

d) Since 351 is greater than 215, the correct expression will be:
351 > 215

Question 2:
a) Since 54 and 53 are not equal, the correct expression will be:
54 ≠ 53 

b) Since 8 is equal to 4 + 4, the correct expression will be:
8 = 4 + 4

c) Since 23 + 6 is equal to 6 + 23, the correct expression will be:
23 + 6 = 6 + 23

d) Since 64 is not equal to 99, the correct expression will be:
64 ≠  99

Question 3)
a) Since the two fractions have same denominators, the fraction with larger denominator will be larger. So the correct expression will be:
4/9 < 5/9

b) 8/10 can be simplified to 4/5 by cancelling 2 from numerator and denominator. So the correct expression will be:
4/5 = 8/10

c) If the numerators of two fractions are same, the fraction will smaller denominator will have larger value. So the correct expression will be:
7/12 > 7/15

d) If both numerator and denominator of a fraction are different, we compare them by changing them to fractions with same denominator.
The LCM of 4 an 7 is 28.
3/4 can be written as 21/28. We have multiplied both numerator and denominator by 7.
6/7 can be written as 24/28. We have multiplied both numerator and denominator by 4.
Now both fractions have same denominators and we can compares them easily. So we can write:
3/4 < 6/7

Question 4)
a) Since 0.531 is greater than 0.456, the correct expression will be:
0.531 > 0.456

b) Since 0.63 is greater than 0.47, the correct expression will be:
0.63 > 0.47

c) Since 0.267 is lesser than 0.539, the correct expression will be:
0.267 < 0.539

d) Since 0.07 is lesser than 0.7, the correct expression will be:
0.07 < 0.7

Question 5)
a) To find how much larger is one number than the other, we simply find their difference. For 154 and 27:
154 - 27 = 127
So, 154 is 127 larger than 27

b) 25 - 12 = 13
So, 25 is 13 larger than 12

c) 135 - 127 = 8
So, 135 is 8 larger than 127

d) 46 - 24 = 22
So, 46 is 22 larger than 24

Question 6) 
Cost of TV at store A = $498
Cost of TV at store B = $ 425
The amount Phyllis save will be = $498 - $425 = $73
Thus, Phyllis saves $73 if she buys the TV from store B

Question 7)
Distance traveled by Dan = 5 miles
Distance traveled by Chan= 2.5 miles
Since 5/2.5 = 2
Dan traveled twice the distance as compared to that of Chan's

Question 8)
The given sequence is:
6,9,18,21,42,45,..
If you observe the sequence you will find that first 3 is being added to the number to get the next number
6 + 3 = 9
The result is then doubled to get the next number:
9 x 2 = 18
And this continues..
18 + 3 = 21
21 x 2 = 42
42 + 3 = 45
So the next number in the series will be:
45 x 2 = 90