Explanation

The absolute value of a number is its distance from 0 on the number line, always positive.

So, |−13| = 13.

Explanation

The greatest 6-digit number is 999999.

The smallest 6-digit number is 100000.

The difference is 999999 - 100000 = 899999.

Explanation

To convert 101 minutes and 2 seconds to seconds:

101 minutes = 101 * 60 seconds = 6060 seconds

Adding 2 seconds = 6060 + 2 = 6062 seconds

Explanation

To find the cube root of 29791:

∛29791 = 31

Since 31 * 31 * 31 = 29791.

Explanation

When 52416 is divided by 312, the quotient is 168. To find the quotient when 52.416 is divided by 0.0168, we can set up a proportion:

52416 ÷ 312 = 168

52.416 ÷ 0.0168 = x

We can then cross-multiply and solve for x:

x = (52.416 × 312) ÷ 0.0168

x = 3120

So, the quotient is 3120.

Explanation

1 yard = 36 inches, so  

1 inch = 1/36 yards ≈ 0.0277 yards

Explanation

50 miles to km = 80.4672 km

Explanation

To add 2/9 and 1/3, we need a common denominator, which is 9.

1/3 = 3/9

Now, add:

2/9 + 3/9 = 5/9

Explanation

Since ∠A = ∠B, sides AC = BC, and ∠C is the unequal angle.

The angle bisector of ∠C splits the triangle into two congruent triangles by SAS (Side-Angle-Side) rule.

Explanation

LCM is the smallest number that both 4 and 12 divide evenly into.

12 is a multiple of both 4 and 12, so it's the LCM.