Question

Repeating digit in 2/9 = 0.? (enter the repeating digit):

a) 1
b) 2
c) 9
d) 0

Answer 1

The repeating digit in the fraction 2/9 is 2. When divided, the fraction yields a repeating sequence of the digit 2, written as 0.2222... infinitely. This relationship is a basic concept in division and fractions within mathematics.

Step-by-step explanation:

The repeating digit in the fraction 2/9 is 2. When we divide 2 by 9, we get a repeating decimal, which can be represented as 0.2222... and it goes on infinitely. Therefore, the correct answer is b) 2.

Let's determine the number of significant figures in the following measurements:

1. 0.0009 - This measurement has 1 significant figure; the leading zeros are not significant as they are only placeholders.
2. 15,450.0 - This measurement has 6 significant figures. Here the zeros indicate that a measurement was made to the 0.1 decimal point, so they are significant.
3. 6x10³ - This notation has 1 significant figure. The exponent signifies the decimal place, not the number of measured values.
4. 87.990 - This measurement has 5 significant figures. All digits including the zero at the end are significant.
5. 30.42 - This measurement has 4 significant figures, where each digit contributes to the measurement's precision.