What are the three types of numbers included in the definition of integers?

Integers include positive numbers (1, 2, 3, ...), negative numbers (-1, -2, -3, ...), and zero (0).

When adding large integers, what is the total number of penguins if there are 35 male, 38 female, and 22 juveniles?

The total number of penguins is 95, calculated as 35 + 38 + 22.

True or False: Zero is considered a positive integer.

False. Zero is neither positive nor negative; it is a unique integer.

Fill in the blank: Estimation helps check calculations, for example, estimating 13656 - 2419 is approximately ___ - ___.

Estimating 13656 - 2419 is approximately 14000 - 2000.

Riddle: I can be positive or negative, and I can count the depth of a diver or the number of animals in a zoo. What am I?

You are an integer.

If you estimate the result of 13656 - 2419, what is a reasonable approximation?

A reasonable approximation is 12000, calculated as 14000 - 2000.

What is the result of subtracting 8 from 4, and how does this relate to the concept of movement on a number line?

The result is -4. This means starting at 4 and moving 8 units to the left on the number line.

Fill in the blank: The operation -30 - 5 results in a temperature of ___.

-35°C

The absolute value of the difference between two numbers is always _____.

Positive

If the temperature at 8 a.m. is -1°C and it rises by 4°C, what is the new temperature?

3°C (calculated as -1 + 4)

Fill in the blank: The difference in diving depth between a sperm whale (3000 m) and an elephant seal (1500 m) is _____ m.

1500

True or False: The temperature difference between London (4°C) and Oslo (-5°C) is 9°C.

True

Riddle: I start at a negative number and move right. If I begin at -1 and move 2 units, what number am I?

1

What is the difference between the numbers 4 and 8?

4 (calculated as 4 - 8 = -4, but the absolute value is 4)

If a temperature starts at -1°C and rises by 4, what is the mathematical expression used to calculate the new temperature?

-1 + 4

What is the mathematical representation of finding the difference between two values?

The absolute value of their subtraction