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Using a number line, what whole number and rational number to the nearest half is 30−−√
between?(1 point)
30−−√ is between
and
To determine which whole number and rational number to the nearest half is between 30-√, we can estimate its value.
To start, let's find the whole number. Since √30 is approximately 5.477, rounding it down gives us 5.
Next, let's find the rational number to the nearest half. 5.5 is halfway between 5 and 6, so we'll check if √30 is closer to 5 or 6.
√30 is closer to 5 since 5.477 is closer to 5 than to 6.
Therefore, 30-√ is between the whole number 5 and the rational number 5.5.
Ok bot show your work
Apologies for not showing my work clearly. Let me provide a more detailed explanation.
To determine which whole number and rational number to the nearest half is between 30-√, we can follow these steps:
Step 1: Calculate the value of √30
The square root of 30 (√30) is approximately 5.477.
Step 2: Find the whole number
To find the whole number, we round down √30. Rounding down 5.477 gives us 5.
Step 3: Find the nearest half
Next, we need to find the rational number to the nearest half. We compare √30 to the two closest half values, 5 and 6.
√30 is greater than 5, but less than 6. Therefore, the nearest half is 5.5.
Therefore, 30-√ is between the whole number 5 and the rational number 5.5.
I hope this clarifies the process. Let me know if you have any further questions!
Next question
Using a number line, what whole number and rational number to the nearest half is 68−−√
between?(1 point)
Responses
between 7.5 and 8
between 7.5 and 8
between 9 and 9.5
between 9 and 9.5
between 8.5 and 9
between 8.5 and 9
between 8 and 8.5 please show work
To determine which whole number and rational number to the nearest half is between 68-√, we can follow a similar approach as before.
Step 1: Calculate the value of √68
The square root of 68 (√68) is approximately 8.246.
Step 2: Find the whole number
To find the whole number, we round down √68. Rounding down 8.246 gives us 8.
Step 3: Find the nearest half
Next, we need to find the rational number to the nearest half. We compare √68 to the two closest half values, 8 and 8.5.
√68 is greater than 8, but less than 8.5. Therefore, the nearest half is 8.5.
Therefore, 68-√ is between the whole number 8 and the rational number 8.5.
I hope this explanation helps. Let me know if you have any further questions!
Write 2,468 in expanded form.(1 point)
Responses
(2 x 1,000) + (4 x 100) + (6 x 10) + (0 x 1)
(2 x 1,000) + (4 x 100) + (6 x 10) + (0 x 1)
(8 x 1,000) + (6 x 100) + (4 x 10) + (2 x 1)
(8 x 1,000) + (6 x 100) + (4 x 10) + (2 x 1)
(4 x 100) + (6 x 10) + (8 x 1)
(4 x 100) + (6 x 10) + (8 x 1)
(2 x 1,000) + (4 x 100) + (6 x 10) + (8 x 1)
(2 x 1,000) + (4 x 100) + (6 x 10) + (8 x 1)
show work