Track quiz
Fourteen ideas, fourteen questions. The table is here if you need to look back.
| Move | How it goes |
|---|---|
| Add, same side | Add the sizes. Keep that side. (−3) + (−4) = −7. |
| Add, mixed sides | Bigger size wins the side. Subtract to find the distance. |
| Take away | a − b is a + (−b). One rule instead of two. |
| Take away below zero | The walk turns right. 5 − (−3) = 8. |
| In your head | Rewrite as an add, compare sizes, then pick the side. |
| Multiply | One move, repeated. (−3) × 4 is 12 left, so −12. |
| Multiply, both below | No zero factor? Same sign gives more than zero. Different signs, less. |
| Share | Same sign rule as multiply, since share undoes it. |
| Zero | Times zero is zero. Adding zero changes nothing. ÷ 0: no answer. |
| A change | Later reading take away earlier. The side says which way. |
| Zero pairs | A zero pair is one positive and one negative token. To take away tokens you lack, add zero pairs first. |
| Additive inverse | Adding a number to its additive inverse gives 0. For a, that partner is written −a. Multiplying by −1 finds the partner. |
| Many factors | No zero among the factors? Count the negative ones. An even count gives a product more than zero. An odd count gives a product less than zero. A zero factor makes the product 0. |
| A bracket | Multiply the number by each part of the bracket, then add. The answer matches adding the bracket first. It still holds when a number is below zero. |
A quiz team loses 4 points, then loses 5 more. Where does its score stand?
What is 7 + (−11)?
Which of these means exactly the same as (−8) − 3?
A lift is on level 1. The parking below is level −2. How many levels apart are they?
Without drawing anything, which side of zero does (−9) + 4 land on?
What does (−6) × 3 come to?
The −5 times table reads −10, −5, 0. The count drops 2, 1, 0. What is (−5) × (−1)?
What is (−3) + (−4), and what is (−3) × (−4)?
What is (−24) ÷ (−6)?
A thermometer read −6 °C at dawn and −1 °C at nine. What was the change, and which way?
A bag holds 2 positive tokens. How do you work out 2 − 7 with tokens?
Find the additive inverse of −13. What do the two add up to?
Without multiplying, which side of zero is (−3) × 2 × (−4) × (−1) × 5?
Which line equals (−5) × (3 + (−2))?
Part II, Chapter 2 is Operations with Integers. Look for these ideas in it.
Next: Finding Common Ground — the factors and multiples two numbers share.