Sure, I can provide step-by-step explanation to represent √7 on the number line:
Step 1: Draw a horizontal line on a piece of paper or a whiteboard. This line represents the number line.
Step 2: Mark a point at the center of the line and label it 0. This represents the number zero.
Step 3: Mark another point to the right of 0, and label it 1. This represents the number one.
Step 4: Divide the segment between 0 and 1 into ten equal parts. Label the first point on the right of 0 as 0.1, the second as 0.2, and so on, until you reach 1.
Step 5: Find the location of √7 on the number line. √7 is approximately equal to 2.65. Locate 2.6 and 2.7 on the number line.
Step 6: Divide the segment between 2.6 and 2.7 into ten equal parts. Label the first point on the right of 2.6 as 2.61, the second as 2.62, and so on, until you reach 2.7.
Step 7: √7 lies between 2.6 and 2.7, closer to 2.7. To be more precise, it is closer to 2.65. Therefore, mark a point between 2.6 and 2.7 and label it as √7.
Step 8: Connect the point representing √7 to the points 0 and 1 with a dotted line. This line represents the square root of 7 on the number line.
That's it! You have successfully represented √7 on the number line.
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Sure, I can provide step-by-step explanation to represent √7 on the number line:
Step 1: Draw a horizontal line on a piece of paper or a whiteboard. This line represents the number line.
Step 2: Mark a point at the center of the line and label it 0. This represents the number zero.
Step 3: Mark another point to the right of 0, and label it 1. This represents the number one.
Step 4: Divide the segment between 0 and 1 into ten equal parts. Label the first point on the right of 0 as 0.1, the second as 0.2, and so on, until you reach 1.
Step 5: Find the location of √7 on the number line. √7 is approximately equal to 2.65. Locate 2.6 and 2.7 on the number line.
Step 6: Divide the segment between 2.6 and 2.7 into ten equal parts. Label the first point on the right of 2.6 as 2.61, the second as 2.62, and so on, until you reach 2.7.
Step 7: √7 lies between 2.6 and 2.7, closer to 2.7. To be more precise, it is closer to 2.65. Therefore, mark a point between 2.6 and 2.7 and label it as √7.
Step 8: Connect the point representing √7 to the points 0 and 1 with a dotted line. This line represents the square root of 7 on the number line.
That's it! You have successfully represented √7 on the number line.