Multiply 23.5 and 4.3.(1 point)
Responses
101.05
101.05
1,010.5
1,010.5
10.105
10.105
16.45
101.05
The area of a rectangle is solved by multiplying the length and width of a rectangle. A rectangular field has an area of 57,600 square feet. If its width is 160 feet, what is its length?(1 point)
feet
To find the length, we need to divide the area by the width:
Length = Area / Width
Length = 57,600 square feet / 160 feet
Length = 360 feet
Therefore, the length of the rectangular field is 360 feet.
Population density is computed by dividing the total population of a location by the land area. A town has a population of 210,756 with a population density of 52 residents per square mile. What is the town’s land area?(1 point)
square miles
To find the land area of the town, we need to divide the population by the population density:
Land area = Population / Population density
Land area = 210,756 / 52 residents per square mile
Dividing 210,756 by 52 gives us:
Land area = 4,050 square miles
Therefore, the land area of the town is 4,050 square miles.
Divide 1.587 by 0.23.(1 point)
Responses
0.69
0.69
6.9
6.9
0.069
0.069
69
6.9
Natasha and Jorge were asked to find the quotient to the decimal division problem 18.8÷1.6 . Natasha says her answer is 11.75. Jorge says his answer is 1.175.
a. Who is correct? Natasha or Jorge?
b. Explain how you know who is correct. Include in your explanation at least one possible error the student who was incorrect made.(2 points)
a. Jorge is correct.
b. To verify who is correct, we can perform the division calculation:
18.8 ÷ 1.6 = 11.75
Comparing the answer provided by Natasha (11.75) and Jorge (1.175), we can see that Natasha incorrectly positioned the decimal point. She mistakenly placed it one digit to the right of where it should be.
The correct answer is 1.175 because the decimal point should be placed after the first digit in the quotient, not after the second digit.
To multiply 23.5 and 4.3, you can use the following steps:
1. Write down 23.5 and 4.3 next to each other.
2. Start with the rightmost digit of the second number (4.3) and multiply it by each digit of the first number (23.5).
- Multiply 4.3 by 5: 4.3 x 5 = 21.5 (write down 21.5 under the line, aligned with the rightmost digit of the first number).
- Multiply 4.3 by 3: 4.3 x 3 = 12.9 (write down 12.9 below the previous result, aligning it with the previous digit).
- Note: If you encounter a decimal number, keep the decimal point aligned with the others.
3. Add up the results you obtained:
- 21.5 + 12.9 = 34.4
Therefore, the product of 23.5 and 4.3 is 34.4.