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classify each number below as an integer or not. | | integer? | | --- |…

Question

classify each number below as an integer or not.

integer?
46.93
767.89
-63
\\(\frac{64}{8}\\)
\\(-\frac{19}{5}\\)

Explanation:

Step1: Recall the definition of an integer

Integers are whole numbers (positive, negative, or zero) without a fractional or decimal part. So we check each number:

Step2: Analyze 46.93

46.93 has a decimal part (0.93), so it's not an integer. So for 46.93, mark "No".

Step3: Analyze 767.89

767.89 has a decimal part (0.89), so it's not an integer. So for 767.89, mark "No".

Step4: Analyze -63

-63 is a negative whole number, so it is an integer. So for -63, mark "Yes".

Step5: Analyze \(\frac{64}{8}\)

Simplify \(\frac{64}{8}\) = 8, which is a whole number, so it is an integer. So for \(\frac{64}{8}\), mark "Yes".

Step6: Analyze \(-\frac{19}{5}\)

Simplify \(-\frac{19}{5}\) = -3.8, which has a decimal part, so it's not an integer. So for \(-\frac{19}{5}\), mark "No".

For 46.93: No
For 767.89: No
For -63: Yes
For \(\frac{64}{8}\): Yes
For \(-\frac{19}{5}\): No

(To mark, select the appropriate "Yes" or "No" radio button for each number as per above analysis)

Answer:

Step1: Recall the definition of an integer

Integers are whole numbers (positive, negative, or zero) without a fractional or decimal part. So we check each number:

Step2: Analyze 46.93

46.93 has a decimal part (0.93), so it's not an integer. So for 46.93, mark "No".

Step3: Analyze 767.89

767.89 has a decimal part (0.89), so it's not an integer. So for 767.89, mark "No".

Step4: Analyze -63

-63 is a negative whole number, so it is an integer. So for -63, mark "Yes".

Step5: Analyze \(\frac{64}{8}\)

Simplify \(\frac{64}{8}\) = 8, which is a whole number, so it is an integer. So for \(\frac{64}{8}\), mark "Yes".

Step6: Analyze \(-\frac{19}{5}\)

Simplify \(-\frac{19}{5}\) = -3.8, which has a decimal part, so it's not an integer. So for \(-\frac{19}{5}\), mark "No".

For 46.93: No
For 767.89: No
For -63: Yes
For \(\frac{64}{8}\): Yes
For \(-\frac{19}{5}\): No

(To mark, select the appropriate "Yes" or "No" radio button for each number as per above analysis)