Explanation

the greatest number is 9,86,54,210. We arrange the given digits in ascending order to form the smallest number. Hence, the smallest number is 1,02,45,689.

Formation of Greatest and Smallest Numbers.

To Form the Greatest Number To Form the Smallest Number

The smallest digit in the ones place that is 3. The next smallest digit in the ones place that is 9.

Explanation

Given expression: 1830 + 20 × 50 - 396 ÷ 3

Following order of operations:

1. Multiplication: 20 × 50 = 1000

2. Division: 396 ÷ 3 = 132

3. Now, the expression becomes:

1830 + 1000 - 132

= 1830 + 1000 = 2830

= 2830 - 132 = 2698

Explanation

A singleton set has only one element (e.g., {a}).

The only proper subset is the empty set (∅), so it has one proper subset.

Explanation

For the multiplication of two matrices A (size m x p) and B (size p x n), the resulting matrix AB will have dimensions m x n.

The number of rows of A and the number of columns of B determine the dimensions of the product matrix.

Explanation

Given:

A ∪ B = A ∩ B

This equation implies that every element that is in A or B (or both) is also in both A and B.

This can only be true if:

A = B

or, in other words, A and B have exactly the same elements.

Explanation

In negative fractions, the greater the denominator (for the same numerator), the closer the fraction is to zero, making it larger.

Comparing:

• -1/3 = -0.333
• -2/3 = -0.666
• -4/9 = -0.444
• -5/6 = -0.833

-1/3 is the greatest among them as it is closest to zero.

Explanation

0.085 ÷ 0.017 = 5 because 85 ÷ 17 = 5 (after removing the decimals by multiplying both numerator and denominator by 1000).

Explanation

2/6 is the correct answer.

The fractions equivalent to 1/3 are 2/6

Explanation

To convert millimeters (mL) to liters (L), we divide by 1000 since 1 L = 1000 mL.

Quantity in liters = 1.7 mL / 1000

= 0.0017 L

Explanation

10 is a multiple of itself because any number is a multiple of itself.