PSHS NCE Integers and Signed Numbers Reviewer

TEACHER ABI PSHS NCE · QUANTITATIVE ABILITY

Integers and Signed Numbers

Compare positive and negative numbers, move correctly on the number line, and handle signs without getting turned around.

Grade 6–7 friendlyNumber-line thinkingRegular practiceQuick Fire + Mastery

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Integers and Signed Numbers

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Right is greater. Left is smaller.

Negative numbers are numbers below zero. On a number line, numbers get greater as you move to the right.

−4

−3

−2

−1

0

1

2

3

4

Important: −2 is greater than −5 because −2 is farther to the right.

DO IT FAST

Use POSITION → DIRECTION → SIGN

1. POSITION: For comparisons, picture the number line. Farther right means greater.
2. DIRECTION: Adding a positive moves right. Adding a negative moves left.
3. SIGN: For multiplication or division: same signs give positive; different signs give negative.
4. CHECK: Ask whether the answer should move above or below zero.

WORKED EXAMPLES

Six patterns you should recognize

1. Compare negatives

Which is greater: −3 or −7?

−3 is greater because it is farther right on the number line.

2. Add a negative

5 + (−8)

Start at 5 and move 8 spaces left.

−3

3. Subtract a negative

4 − (−3)

Subtracting a negative is the same as adding the positive.

4 + 3 = 7

7

4. Multiply signed numbers

(−4)(6) = −24

The signs are different, so the answer is negative.

5. Divide signed numbers

(−28) ÷ (−7) = 4

The signs are the same, so the answer is positive.

6. Use real situations

A temperature rises from −5°C to 2°C. How much did it rise?

2 − (−5) = 7

7°C

TRY WITH ME

Which is colder?

City A is at −4°C. City B is at −9°C.

1. Picture both on the number line.
2. −9 is farther left than −4.
3. Farther left means smaller.

City B is colder. −9°C is less than −4°C.

COMMON TRAPS

Watch out for these

Thinking −8 is greater than −3 because 8 is bigger.
On the number line, −8 is farther left, so it is smaller.

Forgetting parentheses around negatives.
Write 5 − (−2) clearly.

Using the multiplication sign rule for addition.
Addition and subtraction need number-line thinking.

Missing the double negative.
Subtracting a negative turns into addition.

REGULAR PRACTICE

Build the skill

These mix comparison, addition, subtraction, multiplication, division, and short real-life situations.

QUICK FIRE

Can you read the sign fast?

Five short questions. Use the number line or sign rule.

Question 1 of 5

FRESH MASTERY CHECK

Can you do it without hints?

Score 5/5 to verify this competency. If you miss one, a fresh set will be ready.

NEED HELP?

Negative signs still getting confusing?

Send Teacher Abi your result or the item that confused you. I can show you a number-line way to think about it.

Message Teacher Abi

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