Integers

Maths: Edexcel IGCSE Higher, topic 1.1.1

Integers

Integers are the set of all whole numbers.

Integers

Integers

  • Integers can be positive, negative or zero.
  • Integers are whole numbers.
Example

Example

  • −11,000, −34, −3, 0, 1, 57 and 100,000 are all integers.
  • −34.1, −13\large \frac{1}{3}, 0.5, 1.1, 457\large \frac{45}{7} and 57.76 are all non-integers.

Place Value

When a number is written out in digits, each number has a different value depending on what position it is in.

Hundreds

Hundreds

  • The number 1 stands for 100 since it is in the hundreds place.
Tens of thousands

Tens of thousands

  • The number 4 stands for 40,000 since it is in the tens of thousands place.
Hundreds of thousands

Hundreds of thousands

  • The number 3 stands for 300,000 since it is in the hundreds of thousands place.

Negative Numbers

Negative numbers are shown with a minus sign in front (e.g. −4). Negative numbers are smaller than positive numbers.

Number line

Number line

  • The number line above shows the first 3 negative and positive numbers.
  • The positive numbers are all larger than the negative numbers.
  • 0 is called the origin and is not negative or positive.
Multiplying negative numbers

Multiplying negative numbers

  • When multiplying a negative number by another negative number, the negatives cancel out and the result is positive.

Test yourself on Integers

  • Which of the following numbers is an integer?

  • Which of the following numbers is an integer?

  • Which of the following numbers is an integer?

  • Which of the following numbers is an integer?

  • Which of the following numbers is NOT an integer?

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