Question

module 00102 exam introduction to construction math

student name ____________
social security number ____________
date ____________

multiple - choice. choose the one alternative that best completes the statement or answers the question.

1. in the number 123.456, the 5 represents

a. 5 thousandths
b. 5 hundredths
c. 5 tenths
d. 5 ones

1. add the following numbers: 811, 901, 88, and 5. the sum is

a. 1705
b. 1775
c. 1795
d. 1805

1. a carpenter makes $24/hour and works a 40 - hour week. the employer withholds $63 federal tax, $74 fica, and $41 state tax. the carpenters take - home pay is

a. $762
b. $802
c. $808
d. $837

1. a package contains 12 lockets. each of 16 job sites receives a single package. how many lockets are there across the job sites?

a. 28
b. 48
c. 192
d. 236

1. a worker must cut 5814 meters of rope into 27 - meter sections. how many 27 - meter sections are possible and how much rope will be left over?

a. 215 sections with 5 meters left over
b. 215 sections with 8 meters left over
c. 215 sections with 9 meters left over
d. 215 sections with 3 meters left over

1. an equivalent fraction for 5/16 is

Explanation:

Step1: Analyze place - value in 123.456

In the decimal number 123.456, the digit 5 is two places to the right of the decimal point. The first place to the right of the decimal point is tenths, and the second is hundredths. So 5 represents 5 hundredths.

Step2: Calculate the sum of 811, 901, 88 and 5

$811 + 901+88 + 5=(811+901)+(88 + 5)=1712+93 = 1805$

Step3: Calculate carpenter's pay

The carpenter's gross pay is $24\times40 = 960$. The total deductions are $63 + 74+41=178$. The take - home pay is $960-178 = 782$.

Step4: Calculate number of lockets

If each of 16 job - sites gets a package with 12 lockets, the total number of lockets is $12\times16 = 192$.

Step5: Divide rope length

When we divide 5814 by 27, $5814\div27 = 215\cdots\cdots9$. So there are 215 sections with 9 meters left over.

Answer:

1. b. 5 hundredths
2. d. 1,805
3. a. $782$
4. c. 192
5. c. 215 sections with 9 meters left over