Is each of the following numbers an integer? 7/10, 44.57, 56 - 7, 89, -803.64

Understand the Problem

The question is asking whether each of the given numbers is an integer or not. An integer is a whole number, which can be positive, negative, or zero, but does not include fractions or decimals. To determine this, we will analyze the numbers listed in the table.

Answer

- $\frac{7}{10}$: No - 44.57: No - $-\frac{56}{7}$: Yes - 89: Yes - -803.64: No

Steps to Solve

Analyze the number $\frac{7}{10}$
This number is a fraction. Since integers cannot be fractions, we determine that this is not an integer.
Examine the number 44.57
This number is in decimal form and has digits after the decimal point. Therefore, it is not an integer.
Evaluate the expression $-\frac{56}{7}$
First, we simplify the fraction: $$ -\frac{56}{7} = -8 $$ Since -8 is a whole number, this is an integer.
Look at the number 89
This number is a whole number with no fractions or decimals. So, it is an integer.
Assess the number -803.64
This number is also in decimal form and has digits after the decimal point, making it not an integer.

$\frac{7}{10}$: No
44.57: No
$-\frac{56}{7}$: Yes
89: Yes
-803.64: No

More Information

In this exercise, we classified various types of numbers as integers or non-integers. Integers include whole numbers, positive and negative, as well as zero. Fractions and decimals, on the other hand, are not considered integers.

Tips

Confusing decimal numbers as integers. Remember that if a number has digits after the decimal point, it is not an integer.
Misinterpreting fractions. Always simplify fractions first to check if they result in whole numbers.

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