Standard Form (Edexcel IGCSE Maths A (Modular))

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  • What does a number written in standard form look like?

    A number in standard form looks like a cross times 10 to the power of n, e.g. 5.2 cross times 10 cubed.

    It is a number between 1 and 10 multiplied by a power of ten.

  • When a number is written in standard form a cross times 10 to the power of n, which values can a be?

    For a cross times 10 to the power of n, a is at least 1 and less than 10, 1 less or equal than a less than 10.

    This means there is one non-zero digit before the decimal point.

  • True or False?

    When a number is written in standard form a cross times 10 to the power of n, n can be a fraction.

    False.

    For a number written in standard form, a cross times 10 to the power of n, the value n must be an integer.

    It can be zero, positive or negative.

  • When a value between 0 and 1, is written in standard form a cross times 10 to the power of n, what type of number will n be?

    If a value is between 0 and 1 then when it is written in standard form, n will be a negative integer.

    E.g. 0.083 would be written as 8.3 x 10-2.

  • How do you multiply two numbers that are written in standard form and give the answer in standard form using index laws?

    E.g. open parentheses 2 cross times 10 cubed close parentheses cross times open parentheses 6 cross times 10 to the power of 5 close parentheses

    Multiply together the values of a from both numbers and write this in standard form if needed, e.g. 2 cross times 6 equals 12 equals 1.2 cross times 10 to the power of 1.

    Use index laws to combine the powers of 10, e.g. 10 cubed cross times 10 to the power of 5 equals 10 to the power of 8.

    Multiply the two parts together, e.g. 1.2 cross times 10 to the power of 1 cross times 10 to the power of 8.

    Simplify if necessary, using index laws again e.g. 1.2 cross times 10 to the power of 9.

  • How do you divide two numbers that are written in standard form and give the answer in standard form using index laws?

    E.g. open parentheses 2 cross times 10 to the power of 9 close parentheses divided by open parentheses 8 cross times 10 squared close parentheses

    Divide the values of a for both numbers and write this in standard form if needed, e.g. 2 divided by 8 equals 0.25 equals 2.5 cross times 10 to the power of negative 1 end exponent

    Combine the powers of 10 using index laws, e.g. 10 to the power of 9 divided by 10 squared equals 10 to the power of 7

    Multiply the two parts together, e.g. 2.5 cross times 10 to the power of negative 1 end exponent cross times 10 to the power of 7

    Simplify using index laws again if necessary, e.g. 2.5 cross times 10 to the power of 6