Question

Match each rational number to its equivalent decimal expression.

Rational Numbers: 7/10, 7/9, 7/8, 7/15
Equivalent Decimal Expansions:
A. 0.875
B. 0.46 (The 6 has a line over it)
C. 0.7
D. 0.7 (The 7 has a line over it)

Answer 1

To find the decimal equivalents of the rational numbers 7/10, 7/9, 7/8, and 7/15, each fraction is divided to yield a decimal. The results are 7/10 matches C. 0.7; 7/9 matches D. 0.7 (with a repeating 7); 7/8 matches A. 0.875, and 7/15 matches B. 0.46 (with a repeating 6).

Step-by-step explanation:

To match each rational number to its equivalent decimal expression, we can either convert the fraction to a decimal manually or use a calculator. Let's convert them:

1. 7/10: Dividing 7 by 10 is straightforward, resulting in 0.7. Thus, 7/10 is equivalent to decimal expression C. 0.7.
2. 7/9: When we divide 7 by 9, we get a repeating decimal. The resulting decimal repeats the digit 7, so 7/9 equals to decimal expression D. 0.7 (The 7 has a line over it).
3. 7/8: Dividing 7 by 8 gives us 0.875, so 7/8 matches with decimal expression A. 0.875.
4. 7/15: This division gives us a decimal with a repeating 6, which means 7/15 correlates with decimal expression B. 0.46 (The 6 has a line over it).

The results are:
7/10 - C. 0.7
7/9 - D. 0.7 (The 7 has a line over it)
7/8 - A. 0.875
7/15 - B. 0.46 (The 6 has a line over it)