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Add and subtract rational numbers
Add and subtract rational numbers.

EXAMPLE OF A TASK

−

3/5

+ (−

1/5

) =

START

Add and subtract rational numbers

$Image Add and subtract rational numbers$

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Add and subtract rational numbers

The rules for adding and subtracting rational numbers.

The rule	Example
+(+a) = a	+(+7) = +7
+(−a) = −a	+(−5) = −5
−(+a) = −a	−(+9) = −9
−(−a) = +a	−(−4) = +4

Add and subtract rational numbers - expression

The rules for removing parentheses

[1] When parentheses are preceded by a plus sign (+), remove the parentheses, numbers within the parentheses RETAIN the sign.

EXAMPLE
3/4
+ (−
1/8
+
1/2
) =
Remove the parentheses.
Numbers within the parentheses RETAIN the sign.
3/4
+ (−
1/8
+
1/2
) =

3/4
−
1/8
+
1/2
=
6/8
−
1/8
+
4/8
=
9/8

[2] When parentheses are preceded by a minus sign (−), remove the parentheses, numbers within the parentheses CHANGE the sign.

EXAMPLE
2,5 − (6,3 − 4,1) =
Remove the parentheses.
Numbers within the parentheses CHANGE the sign.
Change 6,3 to −6,3 and −4,1 to +4,1.
2,5 − (6,25 − 4,1) =
2,5 − 6,3 + 4,1 = 0,3

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INTERACTIVE EXERCISES, WORKSHEETS - YEAR 7

Add and subtract rational numbers

Add and subtract integers

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