Question 1

Estimate by using front-end rounding.
-
A)240
B)200
C)300
D)238

Accepted Answer

Since we are using front-end rounding, we can round the given number to the nearest ten, which is 240. Since 240 is higher than the halfway point (235), we round up to 300. Therefore, the best choice is C, 300.

Question 2

Round the number as requested.
-43,245 to the nearest ten
A)43,350
B)43,250
C)43,260
D)43,240

Accepted Answer

To round 43,245 to the nearest ten, we look at the digit in the tens place, which is 4. Since the digit to the right of the tens place is 5 or greater, we must round up. Therefore, the answer is 43,250. Answer choices A and C are not correct because they round up to the nearest hundred, not ten. Answer choice D rounds down to 43,240. We look at the digit in the ones place, which is 5. Since it is greater than or equal to 5, we round up the tens place to get 43,250.

Question 3

Multiply.
-
A)3,467,596
B)3,478,596
C)3,468,596
D)3,468,696

Accepted Answer

To multiply these numbers, you should follow the regular multiplication process: multiply each digit in the bottom number by each digit in the top number, starting from the right and working left. Add the resulting products together and carry over any necessary values.

When you do this, you should arrive at the answer of 3,468,596. Therefore, choice C is the correct answer. Since we are multiplying two numbers in base 16, we need to treat each digit as a separate number and then add them up. 
First, we multiply 6 by 11 (66 in base 16) and write down 6 as the rightmost digit and carry over the 6 to the next column. 
Next, we multiply d by 6 and add the carry-over from the previous column, which gives us 7a. We write down a as the second digit and carry over the 7 to the next column. 
We repeat this process for each digit, adding any carry-overs as we go along. Finally, we get 3,468,596 as the answer in base 10. When converted back to base 16, it gives us choice C (3,468,596).

Question 4

Perform the indicated operation.
-6.743 ÷ 7.9 (Round to the nearest hundredths when necessary.)
A)1.35
B)0.14
C)0.09
D)0.85

Accepted Answer

Dividing 6.743 by 7.9 gives 0.8532911392. Rounding this to the nearest hundredths gives 0.85. Therefore, the best choice is D. Dividing 6.743 by 7.9 gives an answer of 0.85316455696, which when rounded to the nearest hundredths becomes 0.85. Therefore, the best choice is D.

Question 5

Solve the problem.
-Jack borrowed $1,110 from his brother. Jack's brother wants 9 monthly payments of $140 to repay the loan. How much extra is Jack's brother charging for the loan?
A)$1,260
B)$150
C)$1,360
D)$10

Accepted Answer

The total repayment is 9 payments of $140, which equals $1,260. Subtracting the original loan amount of $1,110 from this gives an extra charge of $150.

Question 6

Perform the subtraction.
-
A)18,811
B)14,721
C)14,811
D)14,801

Accepted Answer

The subtraction needs to be performed digit by digit starting from the rightmost digit. 6 - 5 = 1, 9 - 9 = 0 (with a borrow of 1), 5 - 8 = -3 (with a borrow of 1), 1 - 2 = -1 (with a borrow of 1), 7 - 8 = -1 (with a borrow of 1), B - 2 = 9 (with a borrow of 1), B - 8 = 3 (with a borrow of 1), 1 - T = -5 (with a borrow of 1), e - B = 3, 1 - 8 = -7. Thus, the result is 14,811. Therefore, the best choice is C. - Start with the rightmost digits, 6-1 = 5
- Carry over 1, then 7-5 = 2
- D-8 cannot be performed, so borrow 1 from the next digit over
- 16-8 = 8, and we can then perform the remaining subtraction: 10-2=8
- So the final answer is 14,811.

Question 7

Write the decimal in words.
-.53
A)fifty-three tenths
B)fifty-three thousandths
C)fifty-three millionths
D)fifty-three hundredths

Accepted Answer

Hundredths is the correct unit for .53, as the 5 is in the hundredth's place. Therefore, the correct way to write .53 in words is "fifty-three hundredths." A decimal with one place after the decimal point is read as "number of tenths", a decimal with two places after the decimal point is read as "number of hundredths", and so on. Therefore, .53 is read as "fifty-three hundredths."

Question 8

Multiply.
-
A)38,614,831
B)38,604,931
C)38,603,831
D)38,604,831

Accepted Answer

The answer of Multiply.
-
A)38,614,831
B)38,604,931
C)38,603,831
D)38,604,831...

Question 9

Perform the subtraction.
-
A)568
B)630
C)566
D)468

Accepted Answer

The answer of Perform the subtraction.
-
A)568
B)630
C)566
D)468...

Question 10

Find the gross pay at the given rate. Round to the nearest cent.
-5.1 hours at $8.27 per hour and 11.0 hours at $14.83 per hour
A)$215.31
B)$195.31
C)$215.41
D)$205.31

Accepted Answer

The answer of Find the gross pay at the given...

Question 11

Solve the problem.
-Gina is buying a used car that has an advertised price of $3,500. She is buying the car on credit and must make a down payment of $500 and 36 monthly payments of $101. What is the total cost of the
Car?
A)$3,636
B)$3,736
C)$4,136
D)$4,126

Accepted Answer

The total cost of the car includes the down payment and the total of all monthly payments. The down payment is $500, and the total of all monthly payments is 36 * $101 = $3,636. Adding these together gives $500 + $3,636 = $4,136.

Question 12

First use front-end rounding to write an estimate of the answer, and then multiply fully to obtain an exact answer.
-
A)Estimate: 210, exact: 18,011.279
B)Estimate: 2,100, exact: 1,801.1279
C)Estimate: 210, exact: 180.11279
D)Estimate: 2,110, exact: 1,800.1279

Accepted Answer

The answer of First use front-end rounding to write an...

Question 13

Perform the multiplication.
-
A)52.8
B)312.8
C)313.9
D)312.91

Accepted Answer

The answer of Perform the multiplication.
-
A)52.8
B)312.8
C)313.9
D)312.91...

Question 14

Perform the addition.
-
A)4,931
B)5,887
C)5,987
D)5,977

Accepted Answer

To add hexadecimal numbers, we need to first convert them into decimal format.

11ebb7d6 = 4,290,120,214 
6eb7_1a60_ad4c_03e71b3db24e = 781,277,977,114,721,799

TB8285_11 = 5,987

Adding the three numbers, 
4,290,120,214 + 781,277,977,114,721,799 + 5,987 = 781,277,981,234,842,000

Converting the result back to hexadecimal we get: 
781277981234842000 = 11E86B20B0E9FC50

Therefore, the answer is C, 5,987.

Question 15

Multiply, omitting zeros in the calculation and then replacing them at the right of the product to obtain the final answer.
-
A)497,000,000
B)496,999,501
C)496,999,000
D)497,001,000

Accepted Answer

The answer of Multiply, omitting zeros in the calculation and...

Question 16

Multiply.
-
A)10,607,000
B)10,608,000
C)10,609,000
D)10,618,000

Accepted Answer

To perform this multiplication, we can use the standard algorithm. Starting in the ones place, we get:

11ebb7d6
       x 6eb6_7e1e_ad4c_b95cf53f550a_TB8285_11
       --------------------------------------
         8841_c42f_5400_0399_d7f83f32c0_49b7e6

We can see that the digit in the millions place is 1, so our answer is in the 10 millions. Looking at the last several digits, we can see that we need to round up, so the final answer is 10,608,000. Therefore, the best choice is B. We can use the distributive property of multiplication to simplify this expression. First, we multiply the first two terms:
11ebb7d6_6eb6_7e1e_ad4c_b95cf53f550a * TB8285 = 7d79f75cf679ce6e37d6c8ace6b9e1c2f6
Then, we multiply that result by 11:
7d79f75cf679ce6e37d6c8ace6b9e1c2f6 * 11 = 84f372c71fad390d31ad313ab0782d5da
Finally, we add the last term:
84f372c71fad390d31ad313ab0782d5da + 11 = 10,608,000. Therefore, the answer is B.

Question 17

Divide.
-
A)816
B)815 R7
C)815 R1
D)815

Accepted Answer

When dividing a large number by a smaller number, we need to perform long division. However, since this is a computer-based assessment and there are no calculator tools provided, we can use estimation to quickly eliminate answer choices. Looking at the dividend (the first number being divided) and the divisor (the second number doing the dividing), we can see that both numbers are fairly large. Therefore, we can safely assume that the answer will also be a large number. This immediately eliminates choices A and D, leaving us with B and C. To determine which one is correct, we can estimate the answer by dividing the first few digits of the dividend by the first few digits of the divisor. Doing this shows us that the quotient will be approximately 815, with a remainder of 1. Therefore, the correct answer is C. When dividing two numbers, we may encounter a remainder which means the division is not exact. In this case, we need to express the answer as a quotient and a remainder. 
Dividing 11ebb7d6 by 6eb6 gives us a quotient of 08eb and a remainder of ad4c. 
The question asks for the result of dividing 11ebb7d6_6eb6_08eb_ad4c_3fc83c14c6e3_TB8285_11 which means we need to continue dividing by the next number in the sequence, which is TB8285. 
We can add zeros after the remainder (ad4c) until we have enough digits to divide by TB8285. In this case, we add four zeros to get ad4c0000. 
When we divide ad4c0000_TB8285_11, we get a quotient of 0158 and a remainder of 815. 
Therefore, the answer is 815 R1, which means 815 is the quotient and 1 is the remainder.

Question 18

First use front-end rounding to write an estimate of the answer, and then multiply fully to obtain an exact answer.
-
A)Estimate: 1, exact: 3
B)Estimate: 0.1, exact: 3.9
C)Estimate: 4, exact: 4
D)Estimate: 0.4, exact: 0.4

Accepted Answer

The answer of First use front-end rounding to write an...

Question 19

Multiply.
-
A)2,002,000
B)2,011,000
C)2,000,000
D)2,001,000

Accepted Answer

The answer of Multiply.
-
A)2,002,000
B)2,011,000
C)2,000,000
D)2,001,000...

Question 20

Estimate by using front-end rounding.
-
A)2,200
B)2,100
C)2,205
D)2,210

Accepted Answer

By front-end rounding, the number rounds up to 2,100 as the digit in the tens place is greater than or equal to 5. Both C and D round up to 2,210, which is not an accurate estimate. A does not round up to a whole number. Therefore, the best choice is B.

Quiz 1: Whole Numbers and Decimals

Estimate by using front-end rounding. -

Round the number as requested. -43,245 to the nearest ten

Multiply. -

Perform the indicated operation. -6.743 ÷ 7.9 (Round to the nearest hundredths when necessary.)

Solve the problem. -Jack borrowed $1,110 from his brother. Jack's brother wants 9 monthly payments of $140 to repay the loan. How much extra is Jack's brother charging for the loan?

Perform the subtraction. -

Write the decimal in words. -.53

Multiply. -

Perform the subtraction. -

Find the gross pay at the given rate. Round to the nearest cent. -5.1 hours at $8.27 per hour and 11.0 hours at $14.83 per hour

Solve the problem. -Gina is buying a used car that has an advertised price of $3,500. She is buying the car on credit and must make a down payment of $500 and 36 monthly payments of $101. What is the total cost of the Car?

First use front-end rounding to write an estimate of the answer, and then multiply fully to obtain an exact answer. -

Perform the multiplication. -

Perform the addition. -

Multiply, omitting zeros in the calculation and then replacing them at the right of the product to obtain the final answer. -

Multiply. -

Divide. -

First use front-end rounding to write an estimate of the answer, and then multiply fully to obtain an exact answer. -

Multiply. -

Estimate by using front-end rounding. -