1.
3 - 0.3 =
Correct Answer
C. 2.7
Explanation
To solve the equation 3 - 0.3, we subtract 0.3 from 3. This gives us a result of 2.7.
2.
49.4 × 17.7=
Correct Answer
A. 874.38
Explanation
The correct answer is 874.38 because when you multiply 49.4 by 17.7, you get the product of 874.38.
3.
655.54 - 288.65=
Correct Answer
B. 366.89
Explanation
The correct answer is 366.89. This is the result of subtracting 288.65 from 655.54.
4.
0.606 ÷ 0.15
Correct Answer(s)
C. 40.4
D. 4.04
Explanation
The correct answer is 40.4. This is because when you divide 0.606 by 0.15, you get 4.04.
5.
9.842 ÷ 1.9 =
Correct Answer
D. 5.18
Explanation
The correct answer is obtained by dividing 9.842 by 1.9, which equals 5.18.
6.
602 - 227.7
Correct Answer
A. 374.3
Explanation
The correct answer is 374.3. The given expression is 602 - 227.7. Subtracting 227.7 from 602 gives us 374.3.
7.
90.2 × 8.9
Correct Answer
C. 802.78
Explanation
The correct answer is 802.78. This is the result of multiplying 90.2 by 8.9.
8.
6/8 + 6/10=
Correct Answer
D. 12/40
Explanation
The given question asks for the sum of 6/8 and 6/10. To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 8 and 10 is 40. We then convert both fractions to have a denominator of 40. 6/8 becomes 30/40 and 6/10 becomes 24/40. Adding these fractions gives us a sum of 54/40, which can be simplified to 27/20. However, the correct answer given is 12/40, which is incorrect.
9.
6/9 + 2/9=
Correct Answer
B. 8/9
Explanation
When adding fractions, you need to have a common denominator. In this case, both fractions have a denominator of 9, so you can simply add the numerators together. 6/9 + 2/9 equals 8/9.
10.
8/9 - 5/18=
Correct Answer
B. 11/18
Explanation
To subtract fractions, we need to have the same denominator. In this case, the denominators are already the same, so we can subtract the numerators directly. 8/9 - 5/18 = (16/18) - (5/18) = 11/18. Therefore, the correct answer is 11/18.
11.
-3 + 4 =
Correct Answer
C. 1
Explanation
The given equation is -3 + 4. When we add -3 and 4, we get 1.
12.
‾3 + ‾15=
Correct Answer
A. ‾18
Explanation
The given question is asking for the sum of -3 and -15. When adding two negative numbers, we simply add the absolute values of the numbers and keep the negative sign. Therefore, the sum of -3 and -15 is -18.
13.
‾14 + 13 =
Correct Answer
A. ‾1
Explanation
The given expression is ‾14 + 13. When we add -14 and 13, we get -1 as the result. Therefore, the correct answer is -1.
14.
‾4 × ‾10=
Correct Answer
A. 40
Explanation
The given question is asking for the product of -4 and -10. When multiplying two negative numbers, the result is always positive. Therefore, the product of -4 and -10 is 40.
15.
‾9 × 2=
Correct Answer
B. ‾18
Explanation
The correct answer is -18 because when you multiply a positive number by a negative number, the result is always negative. In this case, -9 multiplied by 2 equals -18.
16.
138 × 8=
Correct Answer
B. 1104
Explanation
When you multiply 138 by 8, you get the product of 1104.
17.
36 × 47=
Correct Answer
A. 1692
Explanation
To find the product of 36 and 47, we multiply the two numbers together. Using long multiplication, we start by multiplying 6 (the units digit of 36) by 47, which gives us 282. We write down the 2 and carry over the 8. Then, we multiply 3 (the tens digit of 36) by 47, which gives us 141. Adding the carried over 8, we get 149. We write down the 9 and carry over the 1. Finally, we multiply 4 (the hundreds digit of 36) by 47, which gives us 188. Adding the carried over 1, we get 189. Therefore, the final answer is 1692.
18.
2130 ÷ 30 =
Correct Answer
A. 71
Explanation
The given equation is asking for the result of dividing 2130 by 30. By performing the division, we find that the quotient is 71. Therefore, the correct answer is 71.
19.
1037 × 6=
Correct Answer
D. 6222
Explanation
The correct answer is 6222 because when you multiply 1037 by 6, you get the product of 6222.
20.
234 × 84=
Correct Answer
E. 19656
Explanation
The correct answer is 19656 because when you multiply 234 by 84, you get the product of 19656.
21.
37 × 49=
Correct Answer
C. 1813
Explanation
The correct answer is 1813 because when you multiply 37 by 49, you get the product of 1813.
22.
65 ÷ 9=
Correct Answer
C. 7 R2
Explanation
The correct answer is 7 R2. This means that 65 divided by 9 equals 7 with a remainder of 2.
23.
589 ÷ 14 =
Correct Answer
A. 42 R1
Explanation
The correct answer is 42 R1. This means that when 589 is divided by 14, the quotient is 42 and there is a remainder of 1.
24.
188 ÷ 7=
Correct Answer
B. 26 R6
Explanation
When dividing 188 by 7, we find that 7 can go into 18 two times (2 x 7 = 14) with a remainder of 4 (18 - 14 = 4). Then, we bring down the 8 from 188 and divide 48 by 7. This gives us 6 (6 x 7 = 42) with a remainder of 6 (48 - 42 = 6). Therefore, the correct answer is 26 R6, meaning that 188 divided by 7 equals 26 with a remainder of 6.
25.
413 ÷ 8=
Correct Answer
A. 51 R5
Explanation
The correct answer is 51 R5. This means that when 413 is divided by 8, the quotient is 51 and there is a remainder of 5.
26.
3.7 + 2.2=
Correct Answer
A. 5.9
Explanation
The sum of 3.7 and 2.2 is 5.9.
27.
3/5 × 2/3=
Correct Answer
D. 2/5
Explanation
The given expression represents the multiplication of two fractions. When multiplying fractions, we multiply the numerators together and the denominators together. In this case, 3 multiplied by 2 gives us 6 as the numerator, and 5 multiplied by 3 gives us 15 as the denominator. Therefore, the simplified fraction is 6/15, which can be further simplified to 2/5.
28.
5/6 × 7=
Correct Answer
C. 5 5/6
Explanation
The given expression can be simplified by multiplying the numerator of the fraction (5) with the whole number (7) and adding the product to the numerator of the fraction (5/6). This gives us a final answer of 5 5/6.
29.
3/4 ÷ 1/2=
Correct Answer
C. 1 1/2
Explanation
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore, 3/4 ÷ 1/2 can be rewritten as 3/4 * 2/1. Multiplying the numerators gives us 6, and multiplying the denominators gives us 4. So, the result is 6/4, which can be simplified to 3/2 or 1 1/2.
30.
2/7 ÷ 5=
Correct Answer
A. 2/35
Explanation
To divide a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. In this case, we have 2/7 divided by 5. The reciprocal of 5 is 1/5. So, we can rewrite the division as 2/7 multiplied by 1/5. Multiplying the numerators (2 x 1) gives us 2, and multiplying the denominators (7 x 5) gives us 35. Therefore, the answer is 2/35.
31.
26 - ‾3=
Correct Answer
B. 29
Explanation
When subtracting a negative number, it is equivalent to adding its positive counterpart. In this case, subtracting -3 is the same as adding 3. Therefore, 26 + 3 equals 29.
32.
‾ 76 ÷ ‾4=
Correct Answer
E. None of These
33.
‾80 ÷ ‾5=
Correct Answer
D. 16
Explanation
In this question, the division symbol "÷" is used to indicate division. When we divide -80 by -5, we get a positive result of 16. This is because when we divide two negative numbers, the result is always positive. Therefore, the correct answer is 16.
34.
80% of 32=
Correct Answer
D. 25.6
Explanation
To find 80% of 32, we can multiply 32 by 0.8. This is because 80% is equivalent to 0.8 as a decimal. When we calculate 32 multiplied by 0.8, the result is 25.6. Therefore, 80% of 32 is equal to 25.6.
35.
50% of_=45
Correct Answer
C. 90.0
Explanation
To find 50% of a number, we can multiply the number by 0.5. So, if 50% of a number is equal to 45, we can set up the equation 0.5x = 45, where x is the number we are trying to find. Dividing both sides of the equation by 0.5, we get x = 90. Therefore, the correct answer is 90.0.
36.
60% of 43=
Correct Answer
E. None of These
37.
40% of $8.50=
Correct Answer
B. $3.40
Explanation
To find 40% of $8.50, you can multiply $8.50 by 0.40. This can be done by multiplying 8.50 by 40 and then dividing the result by 100. The calculation would be: 8.50 * 40 / 100 = $3.40. Therefore, the correct answer is $3.40.
38.
70% of ___ =91
Correct Answer
D. 130
Explanation
To find out what number is 70% of, we can set up the equation: 70% * x = 91. We can solve this equation by dividing both sides by 70% (or 0.70 as a decimal). This gives us x = 91 / 0.70, which is equal to 130. Therefore, 130 is 70% of the unknown number.
39.
Which of the following equation is example of the associative property?
Correct Answer
C. 8+(2+3)=(8+2)+3
Explanation
The equation 8+(2+3)=(8+2)+3 is an example of the associative property. The associative property states that the grouping of numbers in an addition or multiplication equation does not affect the result. In this equation, both sides have the same grouping of numbers, showing that the order in which the numbers are grouped does not change the final sum.
40.
Which is another way to show 650?
Correct Answer
A. (6×100) + (5×10)
Explanation
The correct answer is (6×100) + (5×10) because it represents the value of 650. In this expression, 6 multiplied by 100 gives us 600, and 5 multiplied by 10 gives us 50. Adding these two values together gives us a total of 650.
41.
Which of these is five hundred six thousand three hundred forty-two?
Correct Answer
B. 506,342
Explanation
The correct answer is 506,342 because it is the only option that matches the given number "five hundred six thousand three hundred forty-two". The other options either have additional zeros or have different numbers in the hundreds and thousands place.
42.
Which of the following numbers shows the factors of 6?
Correct Answer
A. 1,2,3,6
Explanation
The numbers 1, 2, 3, and 6 are all factors of 6 because they can all divide evenly into 6 without leaving a remainder.
43.
Which number has no remainder when divided by 4?
Correct Answer
D. 108
Explanation
108 is the correct answer because it is the only number among the given options that is divisible by 4 without leaving a remainder.
44.
Which of the following equation is an example of the distributive property?
Correct Answer
C. 8×(2+3)=(8×2)+(8×3)
Explanation
The equation 8×(2+3)=(8×2)+(8×3) is an example of the distributive property. The distributive property states that when multiplying a number by a sum, you can distribute the multiplication to each term inside the parentheses. In this equation, the 8 is being multiplied by the sum of 2+3, and it is distributed to each term inside the parentheses resulting in (8×2)+(8×3).
45.
Mr. Rodriguez has 12 students in his calss. Ms. Jones has 11 students, Mr. Marks has 37. If you estimate by rounding to the nearest ten, what numbers should you use for the number of students?
Correct Answer
D. 10,10,40
Explanation
The question asks for an estimate by rounding to the nearest ten. Mr. Rodriguez has 12 students, which is closer to 10 than 20. Ms. Jones has 11 students, which is also closer to 10 than 20. Mr. Marks has 37 students, which is closer to 40 than 30. Therefore, the numbers to use for the number of students, when rounded to the nearest ten, are 10, 10, and 40.
46.
Bob walks around the block. The block is 200 feet wide and 1,000 feet long. How many feet did he walk?
Correct Answer
B. 2,400
Explanation
Bob walks around the block, which has a width of 200 feet and a length of 1,000 feet. To calculate the total distance he walked, we need to find the perimeter of the block. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, we add the width (200 feet) twice and the length (1,000 feet) twice. Therefore, the total distance Bob walked is 200 + 200 + 1,000 + 1,000 = 2,400 feet.
47.
What is 23,045 rounded to the nearest tens?
Correct Answer
C. 23,050
Explanation
When rounding to the nearest tens, we look at the digit in the ones place. If it is 5 or greater, we round up. In this case, the digit in the ones place is 5, so we round up to the next tens place. Therefore, 23,045 rounded to the nearest tens is 23,050.
48.
Which of these is best estimate of the diameter of a bicycle wheel?
Correct Answer
B. 20 inches
Explanation
The diameter of a bicycle wheel is typically measured in inches, and it is not typically as small as 2 inches or as large as 60 inches. A diameter of 40 inches or 60 inches would be unusually large for a bicycle wheel. Therefore, the best estimate for the diameter of a bicycle wheel is 20 inches.
49.
Juan has a pamphlet that is 3in. × 8in. He wants to put them in plastic bags. What is a good estimate of the size of bags?
Correct Answer
B. 8cm × 21cm
Explanation
The size of the pamphlet is given in inches, so it would make sense to estimate the size of the bags in centimeters. The closest estimate to the size of the pamphlet in centimeters is 8cm × 21cm.
50.
Jessica wants to paint her kitchen ceiling. The ceiling measures 8ft. by 9ft. minus a vent that is about 1 square foot. What is a good estimate of the paintable ceiling area?
Correct Answer
B. Greater than 70ft² , less that 72ft²
Explanation
The ceiling measures 8ft. by 9ft., which gives a total area of 72ft². However, there is a vent that is about 1 square foot, so the actual paintable ceiling area would be slightly less than 72ft². Therefore, a good estimate of the paintable ceiling area would be greater than 70ft², but less than 72ft².