Just trying to understand this. Please let me know if I did these right. Thanks!!!
-7 as a rational # = -7/10
-3.03 as a rational # = -33/10
-2 3/12 as a rational # = -25/12
1.03 as a rational # = 13/10
First look up the definiton for a rational number and then go from there. Perhaps your textbook has a glossary or beyond that what is its meaning in a dictionary? Vocab terms can be dicey in any language, and math is no exception.
each of the numbers you are starting with is already a rational number.
Let's go through each expression to see if they are correct.
1. -7 as a rational number:
To determine if -7 is a rational number, we need to check if it can be expressed as a fraction of two integers. In this case, we can write -7 as -7/1, which is a fraction where both the numerator (-7) and the denominator (1) are integers. Therefore, -7 is a rational number.
Your answer of -7/10 is incorrect. -7/10 is a decimal fraction, not an equivalent rational expression for -7.
Correct expression: -7 can be expressed as a rational number as -7/1 or simply -7.
2. -3.03 as a rational number:
To determine if -3.03 is a rational number, we need to check if it can be expressed as a fraction of two integers. In this case, we can write -3.03 as -303/100, which is a fraction where both the numerator (-303) and the denominator (100) are integers. Therefore, -3.03 is a rational number.
Your answer of -33/10 is incorrect. -33/10 is a different decimal representation but not an equivalent fraction for -3.03.
Correct expression: -3.03 can be expressed as a rational number as -303/100.
3. -2 3/12 as a rational number:
To express a mixed number (-2 3/12) as a rational number, we need to convert it to an improper fraction.
-2 can be written as -2/1, and 3/12 can be simplified to 1/4. Now, we can combine these fractions by multiplying the whole number (-2) by the denominator of the fractional part (4) and adding the numerator (1). This gives us (-2 * 4 + 1) / 4, which simplifies to -8 + 1 / 4, or -7/4.
Your answer of -25/12 is incorrect. That would be the incorrect improper fraction for -2 3/12.
Correct expression: -2 3/12 can be expressed as a rational number as -7/4.
4. 1.03 as a rational number:
To determine if 1.03 is a rational number, we need to check if it can be expressed as a fraction of two integers. In this case, we can write 1.03 as 103/100, which is a fraction where both the numerator (103) and the denominator (100) are integers. Therefore, 1.03 is a rational number.
Your answer of 13/10 is incorrect. 13/10 is a different decimal representation but not an equivalent fraction for 1.03.
Correct expression: 1.03 can be expressed as a rational number as 103/100.