Explanation

The characteristic of a decimal number in scientific notation is the exponent of 10 when expressed as N × 10^n.

Converting 0.006735 to scientific notation: 6.735 × 10⁻³, so the characteristic is -3.

Explanation

A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is a multiple of 11 (including 0).

For 7879553:

• Sum of odd-positioned digits = 7 + 7 + 5 + 3 = 22
• Sum of even-positioned digits = 8 + 9 + 5 = 22
• Difference = 22 - 22 = 0 (which is a multiple of 11)

Thus, 7879553 is divisible by 11.

Explanation

Roman Numeral XCIX is equal to 99 and XCIII is 93. Now, XCIX - XCIII = 99 - 93 = 6. Since, 6 = VI Therefore, XCIX - XCIII = VI.

Explanation

It can be written as 7/13

And for percentage, we have to multiply with 100 So, 7/13 * 100 = 700/13 =53.00

Given answers near to 52%

Explanation

Average= sum of numbers/total numbers 

Average = [70%+77%+78%+82%+85%]/5

Average-= 392/5

Average=78%

Explanation

To evaluate the expression 7/12 - 3/8 - 4/9:

Step 1: Find the least common multiple (LCM) of 12, 8, and 9.

The LCM of 12, 8, and 9 is 72.

Step 2: Convert each fraction to have a denominator of 72.

7/12 = (7 × 6) / (12 × 6) = 42/72

3/8 = (3 × 9) / (8 × 9) = 27/72

4/9 = (4 × 8) / (9 × 8) = 32/72

Step 3: Subtract the fractions.

42/72 - 27/72 - 32/72 = (42 - 27 - 32) / 72

= (42 - 59) / 72

= -17/72

Explanation

Explanation

To evaluate the expression, we need to find a common denominator. The least common multiple (LCM) of 9, 8, and 3 is 72.

Let's convert each fraction:

7/9 = (7 × 8) / (9 × 8) = 56/72

6/8 = (6 × 9) / (8 × 9) = 54/72

6/3 = (6 × 24) / (3 × 24) = 144/72

Now, add the fractions:

56/72 + 54/72 + 144/72

= (56 + 54 + 144) / 72

= 254/72

Simplify the fraction:

254/72 = 127/36

Explanation

Let's find the HCF (Highest Common Factor) of 14, 56, and 98:

Step-by-step:

Factors of 14: 1, 2, 7, 14

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 98: 1, 2, 7, 14, 49, 98

Common factors: 1, 2, 7, 14

→ HIGHEST common factor = 14

Explanation

The least common multiple (LCM) of 4, 8, and 16 is 16.

The 4th common multiple is: 16 × 4 = 64.