Decimals

Maths: Edexcel IGCSE Higher, topic 1.3.1

Place Value

When a number is written out in digits each number stands for a different value depending on what position it takes in the number. For example in the number 7,342,176.525:

Hundreds

Hundreds

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

Hundreds of thousands

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

Adding Decimals

You should be able to add decimals without a calculator.

Step 1

Step 1

  • Move the decimal point two digits to the right (multiply by 100).
  • This gets rid of the decimals and lets us work with whole numbers.
Step 2

Step 2

  • Add the whole numbers together.
Step 3

Step 3

  • Re-introduce the decimals.
  • Move the decimal point two digits to the left (divide by 100).
Answer

Answer

Subtracting Decimals

You should be able to subtract decimals without a calculator.

Step 1

Step 1

  • Move the decimal point one digit to the right (multiply by 10).
  • This gets rid of the decimals and lets us work with whole numbers.
Step 2

Step 2

  • Calculate the difference between the whole numbers.
Step 3

Step 3

  • Re-introduce the decimals.
  • Move the decimal point one digit to the left (divide by 10).
Answer

Answer

Test yourself on Decimals

  • What does the 6 stand for in 8,375,693.1?

  • What does the 5 stand for in 8,375,693.1?

  • What does the 1 stand for in 8,375,693.1?

  • What does the 7 stand for in 7,414,311.8?

  • What does the 3 stand for in 7,414,311.8?

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