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Determine the best answer or answers for each problem.

1. A case of water has 24 bottles. Each bottle contains 254 milliliters of water. How many milliliters of water are in a case?
A. 1524
B. 4880
C. 5086
D. 6096

2. Round 253.547 to the nearest tenth.
A. 250
B. 253
C. 253.5
D. 253.55

3. Let [tex]$m$[/tex] be the number of marbles in Gavin's collection. Jack has 12 more marbles than Gavin. What expression represents the number of marbles in Jack's collection?

4. Select the true statements regarding the number 528,936.
A. It is 10 times less than [tex]$52,893.6$[/tex].
B. To the nearest thousand, it rounds to 529,000.
C. It is 100 times less than [tex]$52,893,600$[/tex].
D. To the nearest hundred, it rounds to 528,900.

5. Evaluate [tex]$4.3 + g - h$[/tex] when [tex]$g = 11.2$[/tex] and [tex]$h = 5.1$[/tex].

6. Which products are 100 times as great as [tex]$230 \times 15$[/tex]? Select all that apply.
A. [tex]$23 \times 150$[/tex]
B. [tex]$230 \times 1500$[/tex]
C. [tex]$2300 \times 1500$[/tex]
D. [tex]$23 \times 15,000$[/tex]
E. [tex]$2300 \times 15$[/tex]
F. [tex]$230 \times 150$[/tex]

7. Which product is the greatest?
A. [tex]$7 \times 416$[/tex]
B. [tex]$3 \times 901$[/tex]
C. [tex]$8 \times 377$[/tex]
D. [tex]$5 \times 584$[/tex]

8. There are 5280 feet in a mile. A marathon is about 26 miles long. About how many feet long is a marathon?
A. 137,280
B. 135,880
C. 42,240
D. 40,740

9. It takes about 500 seconds for light from the Sun to reach Earth. Light travels about 186,282 miles every second. Estimate how far the Sun is from Earth.
A. 1,000,000 miles
B. [tex]$22,000,000$[/tex] miles
C. [tex]$56,000,000$[/tex] miles
D. [tex]$93,000,000$[/tex] miles

10. How many times as great as 43,200 is [tex]$43,200,000$[/tex]?

Answer :

Sure, I'd be glad to help! Let's go through each question step-by-step:

1. A case of water has 24 bottles. Each bottle contains 254 milliliters of water. How many milliliters of water are in a case?

To find the total milliliters of water in the case, we multiply the number of bottles by the volume of water in each bottle:
[tex]\[
24 \times 254 = 6096 \text{ milliliters}
\][/tex]
Answer: D. 6096

2. Round 253.547 to the nearest tenth.

To round to the nearest tenth, we look at the hundredths place (4). Since it is less than 5, we round down:
[tex]\[
253.547 \approx 253.5
\][/tex]
Answer: C. 253.5

3. Let [tex]\( m \)[/tex] be the number of marbles in Gavin's collection. Jack has 12 more marbles than Gavin. What expression represents the number of marbles in Jack's collection?

Jack's marbles would be:
[tex]\[
m + 12
\][/tex]
Answer: [tex]\( m + 12 \)[/tex]

4. Select the true statements regarding the number 528,936.

Let's evaluate each option:

- A. It is 10 times less than [tex]\( 52,893.6 \)[/tex]:
[tex]\[
528,936 \div 10 = 52,893.6
\][/tex]
This statement is true.

- B. To the nearest thousand, it rounds to 529,000:
[tex]\[
\text{528,936 rounded to the nearest thousand is 529,000}
\][/tex]
This statement is true.

- C. It is 100 times less than [tex]\( 52,893,600 \)[/tex]:
[tex]\[
528,936 \times 100 = 52,893,600
\][/tex]
This statement is true.

- D. To the nearest hundredth, it rounds to 528,900:
[tex]\[
528,936 rounded to the nearest hundredth would be 528,936.
\][/tex]
This statement is false.

Answers: A, B, C

5. Evaluate [tex]\(4.3 + g - h\)[/tex] when [tex]\(g=11.2\)[/tex] and [tex]\(h=5.1\)[/tex].

Substitute the given values into the expression:
[tex]\[
4.3 + 11.2 - 5.1 = 10.4
\][/tex]
Answer: 10.4

6. Which products are 100 times as great as [tex]\(230 \times 15\)[/tex]? Select all that apply.

First, find the original product:
[tex]\[
230 \times 15 = 3450
\][/tex]
Now, we find 100 times that:
[tex]\[
3450 \times 100 = 345000
\][/tex]
Now, let's check each option:

- A. [tex]\(23 \times 150 = 3450\)[/tex] (Not 100 times greater)
- B. [tex]\(230 \times 1500 = 345000\)[/tex] (This is 100 times greater)
- C. [tex]\(2300 \times 1500 = 3,450,000\)[/tex] (Not 100 times greater)
- D. [tex]\(23 \times 15,000 = 345000\)[/tex] (This is 100 times greater)
- E. [tex]\(2300 \times 15 = 34500\)[/tex] (Not 100 times greater)
- F. [tex]\(230 \times 150 = 34500\)[/tex] (Actually, same as B)

Answers: B, D

7. Which product is the greatest?

Calculate each product:

- [tex]\(7 \times 416 = 2912\)[/tex]
- [tex]\(3 \times 901 = 2703\)[/tex]
- [tex]\(8 \times 377 = 3016\)[/tex]
- [tex]\(5 \times 584 = 2920\)[/tex]

The greatest product is:
[tex]\[
3016 \text{ (Option C: \(8 \times 377\))}
\][/tex]
Answer: C. 3016

8. There are 5280 feet in a mile. A marathon is about 26 miles long. About how many feet long is a marathon?

Multiply the number of miles by the number of feet per mile:
[tex]\[
5280 \times 26 = 137280 \text{ feet}
\][/tex]
Answer: A. 137,280

9. It takes about 500 seconds for light from the Sun to reach Earth. Light travels about 186,282 miles every second. Estimate how far the Sun is from Earth.

Multiply the time by the speed:
[tex]\[
500 \times 186282 = 93141000 \text{ miles}
\][/tex]
Answer: D. 93,000,000

10. How many times as great as 43,200 is 43,200,000?

Divide the larger number by the smaller number:
[tex]\[
43,200,000 \div 43,200 = 1000
\][/tex]
Answer: 1000 times

I hope this helps! If you have any more questions, feel free to ask!

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