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The order of operations
1. All expressions in grouping symbols are evaluated first, beginning with the
innermost grouping symbols then, all multiplication and division are evaluated,
working from left to right and finally, any addition and subtraction, working
from left to right.
The rules for using integers are:
Rule -When adding integers with the same sign, keep the sign and add; -3 + -2 = -5.
Rule 2 - When adding integers with different signs, find the difference and use the sign
of the number further from zero; 3 + 4 = 1.
Rule 3 - When subtracting integers, add the opposite; 5 - -7 = 12.
Rule 4 - When multiplying integers, the following rules are obeyed.
(a) Positive × Positive = Positive
(b) Positive × Negative = Negative
(c) Negative × Positive = Negative
(d) Negative × Negative = Positive
Rule 5 - When dividing integers, use the same rules as for multiplication.
1. To order decimals, write each with the same number of decimal places and
2. To write terminating decimals as fractions, make the denominator an
appropriate power of 10 and simplify where possible. The number of zeros in
the denominator should be the same as the number of digits after the decimal
3. To convert a decimal to a percentage, multiply by 100 and include the
1. To write fractions in simplest form, divide the numerator and the denominator
by the highest common factor (HCF) of both.
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To change improper fractions to mixed numerals, divide the numerator by
the denominator and express the remainder as a fraction in simplest form.
3. To change a mixed numeral into an improper fraction, multiply the whole
number by the denominator, add the numerator and write the result over the
4. To add or subtract fractions, form equivalent fractions with the same
denominator, then add or subtract the numerators.