What this worksheet covers
Integers include the negative numbers, and this sheet covers adding and subtracting them. Each problem has two numbers between −20 and 20, with negative ones in parentheses so the signs are clear, and the sign between them is plus or minus. Subtracting a negative, as in 5 − (−3), is the case that most students find hardest, and the sheet includes it often.
Who it is for
Seventh grade, with an introduction in sixth. Common Core 7.NS.A.1 asks students to add and subtract rational numbers, representing the operations on a number line. Students should be comfortable with negative numbers on a number line first.
Adding and subtracting positive and negative numbers · grades 6 and 7
A worked example
5 − (−3). Subtracting a negative is the same as adding the opposite, so this is 5 + 3 = 8. On a number line, the difference between 5 and −3 is 8 units. Ask students why it is not 2.
Mistakes to watch for
- Treating a subtraction sign as a negative sign, so (−4) − 3 becomes 7 instead of −7. Say it as negative four take away three.
- Losing the sign when both numbers are negative. Two negatives added always make a more negative number.
Make it your own
This sheet is one setting of the math worksheet generator. Open it there to change the skill, the range of numbers or the heading, or to mix several skills on one sheet.