Ordering and Adding Integers Quiz

Study Notes

Ordering Integers

Integers are whole numbers, including negative numbers and zero.
The provided list of integers to order is: -3, 0, -6, -10, 4, 5, 6.
When ordering integers, the number line helps visualize their position.
The order from least to greatest is: -10, -6, -3, 0, 4, 5, 6.

### Adding Integers

Adding integers can be done graphically using a number line.
The examples provided show different combinations of adding positive and negative integers.
For example, -13 + 7 = -6 is represented by starting at -13 and moving 7 steps to the right on the number line.
7 + (-2) = 5 is represented by starting at 7 and moving 2 steps to the left on the number line.
Regardless of the method used, the correct answers are: -6, 5, 1, 29, 22, 32, -9, and 5.

### BODMAS

BODMAS stands for Brackets, Orders (powers and square roots), Division and Multiplication (from left to right) and Addition and Subtraction (from left to right).
BODMAS dictates the order of mathematical operations when solving equations.
The provided text states BODMAS is not used because the task focuses on visualizing addition through the number line.

Rounding Numbers

Nearest Tenth: Look at the digit in the hundredths place. If it is 5 or greater, round the tenths digit up. If it is less than 5, keep the tenths digit the same.
Nearest Hundredth: Look at the digit in the thousandths place. If it is 5 or greater, round the hundredths digit up. If it is less than 5, keep the hundredths digit the same.

Example Rounding

2.16 rounded to the nearest tenth is 2.2.
2.16 rounded to the nearest hundredth is 2.16.
12.09 rounded to the nearest tenth is 12.1.
12.09 rounded to the nearest hundredth is 12.09.
3.769 rounded to the nearest tenth is 3.8.
3.769 rounded to the nearest hundredth is 3.77.

Ordering Integers

A number line is a straight line with numbers placed at equal intervals.
Negative numbers are located on the left side of zero on a number line, and become smaller as they move further left.
Positive numbers are located on the right side of zero on a number line, and become larger as they move further right.
From smallest to largest the numbers are: -10, -6, -3, 0, 4, 5, 6.

Number Line Addition

For -13 + 7, start at -13 on the number line and move 7 spaces to the right. The answer is -6
For -7 + -2, start at -7 on the number line and move 2 spaces to the left. The answer is -9.
For 8 + -7, start at 8 on the number line and move 7 spaces to the left. The answer is 1
For 14 + 8, start at 14 on the number line and move 8 spaces to the right. The answer is 22

Rounding to the nearest 10

To round to the nearest 10, look at the ones digit. If the ones digit is 5 or greater, round up. If the ones digit is less than 5, round down.
12 rounds down to 10 because 2 is less than 5.
48 rounds up to 50 because 8 is greater than 5.

Sum of Two Numbers

The sum of two numbers is the result of adding them together.
The sum of 12 and 48 is 60.

Description

This quiz covers the concepts of ordering and adding integers through practical examples and number line visualizations. You will explore how to correctly order a set of integers and apply the BODMAS rule for accurate arithmetic calculations. Test your understanding of these essential mathematical skills!