1.### The Roman numeral for 18 is ______.

Answer:
XVIII

Explanation:

Roman numerals are formed using combinations of letters from the Latin alphabet, specifically I, V, X, L, C, D, and M, to represent values. The numeral for 18 is created by placing X (10) before VIII (8), resulting in XVIII. This follows the Roman numeral system's additive property where values are added together when a smaller numeral follows a larger one. The other options do not correctly follow these rules, making XVIII the correct representation for 18.

2.### The smallest 4-digit number formed by using the digits 0, 3, 5, 6 is _____.

Answer:
3056

Explanation:

To find the smallest 4-digit number using the digits 0, 3, 5, and 6, we need to consider the place values:

Thousand's place: Since it's a 4-digit number, we cannot start with 0, so the smallest possible digit for the thousand's place is 3.

Remaining digits: After placing 3 in the thousand's place, the remaining digits are 0, 5, and 6.

Ordering for smallest number: Arrange the remaining digits in ascending order after 3, which would be 0, 5, and 6.

Final number: Combining these, the smallest number is 3056.

Thus, the smallest 4-digit number you can form with the digits 0, 3, 5, and 6 is: 3056

Thousand's place: Since it's a 4-digit number, we cannot start with 0, so the smallest possible digit for the thousand's place is 3.

Remaining digits: After placing 3 in the thousand's place, the remaining digits are 0, 5, and 6.

Ordering for smallest number: Arrange the remaining digits in ascending order after 3, which would be 0, 5, and 6.

Final number: Combining these, the smallest number is 3056.

Thus, the smallest 4-digit number you can form with the digits 0, 3, 5, and 6 is: 3056

3.### The predecessor of the smallest 5-digit number is ____.

Answer:
9999

Explanation:

The smallest 5-digit number is 10000, and its predecessor, the number that comes just before it, is 9999. This transition from the largest 4-digit number to the smallest 5-digit number marks a numerical shift, emphasizing the significance of place value in mathematical representations.

4.### The smallest single-digit composite number is ____.

Answer:
4

Explanation:

The smallest single-digit composite number is 4. A composite number is a positive integer greater than 1 that has at least one divisor other than 1 and itself. In this case, 4 can be divided by 2, so it is composite.

5.### The improper fraction among the following is ____.

Answer:
8/5

Explanation:

The improper fraction among the given options is 8/5. An improper fraction is a fraction where the numerator is greater than the denominator. In this case, 8/5 has a numerator of 8, which is greater than the denominator of 5. Therefore, it is an improper fraction.

6.### 19/6 is a number between _____.

Answer:
3 and 4

Explanation:

The number 19/6 falls between the numbers 3 and 4 on the number line.The fraction 19/6 falls between 3 and 4. By dividing 19 by 6, the result falls within this numerical range, signifying that 19/6 is greater than 3 but less than 4. Understanding the positioning of fractions relative to whole numbers aids in interpreting their values within different numerical intervals.

7.### How many one-sixths make 2?

Answer:
12

Explanation:

1/6 (x) = 2 is the equation we will create. To solve for how many one-sixths make 2, we will multiply both sides by the reciprocal of 1/6 which is 6. Once we multiply both sides by 6, we are left with 2 x 6 = 12. Thus 12 one-sixths makes 2.

8.### 3 hundredths can be written as ____.

Answer:
0.03

Explanation:

In the case of "three hundredths," it means we have three parts out of 100 parts (since "hundredths" refers to dividing something into 100 equal parts). To represent this in decimal form, we write "0." (zero followed by a decimal point) to indicate that we are dealing with a fraction of 1, and then we add "03" to show that we have three parts out of 100. Therefore, "three hundredths" is written as "0.03" in decimal form.

9.### What fraction is equivalent to 0.07?

Answer:
7/100

Explanation:

The decimal 0.07 is equivalent to the fraction 7/100. This representation highlights the relationship between decimals and fractions, where the numerator (7) denotes a part of the whole divided by the denominator (100). Understanding such equivalences enhances numerical comprehension and mathematical fluency.

10.### 3 hrs 40 mins equal ____.

Answer:
220 mins

Explanation:

3 hours is equal to 180 minutes and 40 minutes is an additional 40 minutes. Therefore, 3 hours and 40 minutes is equal to a total of 180 minutes + 40 minutes, which equals 220 minutes.

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