which number is located between 1.2 and 1.4 on the number line? 1.19 1.22 1.03 1.44
The correct answer and explanation is:
Correct Answer: 1.22
Explanation (Approx. 300 Words):
To determine which number is located between 1.2 and 1.4 on the number line, we must first understand what these two numbers represent in decimal form and how they relate to the other options.
Step 1: Understand the range
- The question asks for a number between 1.2 and 1.4.
- In decimal form:
- 1.2 = 1.20
- 1.4 = 1.40
So we are looking for a number that is greater than 1.20 but less than 1.40.
Step 2: Analyze the options
- 1.19
- This is less than 1.20, so it is not between 1.2 and 1.4.
- 1.22
- This is greater than 1.20 and less than 1.40, so it is between 1.2 and 1.4.
- 1.03
- This is less than 1.20, and much closer to 1.00, so it is not in the desired range.
- 1.44
- This is greater than 1.40, so it is not in the desired range.
Step 3: Visualizing on a number line
Think of a number line divided into tenths:
- Between 1.2 and 1.4, we can have numbers like:
- 1.21, 1.22, 1.23, 1.24, …, up to 1.39
So any of these would fit, but among the choices, only 1.22 is within that segment.
Conclusion:
The correct answer is 1.22 because it falls between 1.2 and 1.4 on the number line. All other options are either less than 1.2 or greater than 1.4, and therefore not correct. This type of question helps you practice comparing decimals and understanding how to visualize them in order.