ACT Math : Other Decimals

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Add Decimals

Add:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the problem so that the tenths, hundredths, and thousandths digits align. Use zeros as placeholders and solve.

Example Question #1 : Hspt Mathematics

A runner runs 10.2 miles east, then 2.3 miles west, then 1.4 miles east.

How many miles did the runner travel from where he started? (How far east did the runner go)?

Possible Answers:

10.2 miles

13.9 miles

19.3 miles

9.3 miles

6.5 miles

Correct answer:

9.3 miles

Explanation:

When the runner is travelling east, it's in the positive direction. West is the negative direction. So we can compute it by doing the operation 10.2 + (–2.3) + 1.4 = 9.3

Example Question #1 : How To Add And Subtract Decimals

What is ?

Possible Answers:

Correct answer:

Explanation:

 removed from  results in the whole integer .

Example Question #11 : Other Decimals

Subtract: 

Possible Answers:

Correct answer:

Explanation:

Rewrite  adding the correct number of placeholders and evaluate.

Example Question #51 : The Number System

Gradechart

If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?

Possible Answers:

84

82

83.5

79

85.75

Correct answer:

84

Explanation:

Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =

96*0.25 + 70*0.25 + 85*0.5 =

24 + 17.5 + 42.5 = 84

Example Question #301 : Arithmetic

A chemistry students needs to dilute some acid. How much water should be added to 2 L of 80% acid solution to yield 50% acid solution?

Possible Answers:

1.0 L

1.5 L

1.2 L

2.0 L

0.8 L

Correct answer:

1.2 L

Explanation:

Pure water would be 0% solution and pure solution would be 100%

V1P1 + V2P2 = VfPf

Let x = amount of water to add

x(0) + 2(0.80) = (x + 2)(0.50) which when solved gives x = 1.2 L

Example Question #1 : How To Multiply Decimals

Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?

Possible Answers:

20 ft x 30 ft

10 ft x 10 ft

7.5 ft x 9 ft

12.5 ft x 15 ft

15 ft x 25 ft

Correct answer:

12.5 ft x 15 ft

Explanation:

The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.

Example Question #2 : How To Multiply And Divide Decimals

If , approximately how many inches are in one meter?

Possible Answers:

Correct answer:

Explanation:

and

Using the factor-label method we get the following equation.

We treat the units as if they are numbers, and can cancel the units from the fractions.

Example Question #302 : Arithmetic

A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?

Possible Answers:

$179.40

$115.60

$125.70

$97.50

$100.00

Correct answer:

$97.50

Explanation:

First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:

1150 miles x gallons/46 miles = 25 gallons

Multiplying 25 by $3.90 yields $97.50.

Example Question #851 : Hspt Mathematics

Evaluate 

Possible Answers:

Correct answer:

Explanation:

First, 

Then, 

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