Is each number in the table an integer?

Understand the Problem

The question presents a table with numbers and asks if each one is an integer, requiring an evaluation of whether each number qualifies as an integer or not.

Answer

-46.64: No, $\frac{45}{5}$: Yes, -26: Yes, 899.91: No, $\frac{20}{3}$: No.

Steps to Solve

Evaluate -46.64 This number is negative and has a decimal. For a number to be an integer, it must not have a fractional part. Since $-46.64$ has digits after the decimal point, it is not an integer.
Evaluate $\frac{45}{5}$ To determine if this is an integer, perform the division: $$ \frac{45}{5} = 9 $$ The result, 9, is a whole number and thus an integer.
Evaluate -26 This is a whole number without any decimal or fractional part. Therefore, -26 is an integer.
Evaluate 899.91 Similar to the first step, this number is positive but has a decimal. The presence of digits after the decimal means that $899.91$ is not an integer.
Evaluate $\frac{20}{3}$ Now, calculate this fraction: $$ \frac{20}{3} \approx 6.67 $$ The result is approximately 6.67, which is not a whole number. Hence, $\frac{20}{3}$ is not an integer.

-46.64: No
$\frac{45}{5}$: Yes
-26: Yes
899.91: No
$\frac{20}{3}$: No

More Information

An integer is defined as a whole number without any decimal or fractional parts. This includes positive numbers, negative numbers, and zero.

Tips

Confusing decimals with integers: Any number with a decimal, like $-46.64$ or $899.91$, is not an integer.
Misinterpreting fractions: Always simplify fractions and check for whole number results, as in $\frac{20}{3}$.

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