Track quiz
Show on a big screenTwelve ideas, twelve checks. Look back at the table if you need it.
| Signpost | How it goes |
|---|---|
| Expression and value | The line is the expression. The number is its value. |
| Order matters | 7 + 4 × 3 is 19 or 33, so we agree one order. |
| Terms | Cut before each + or −. The sign stays. Add terms. |
| Brackets | Finish what is inside them first. |
| Tied signs | Same level? Do the left one first. |
| Turning round | + and × swap. − and ÷ usually change the value. |
| Two counts, one tray | 6 × (10 + 3) and 6 × 10 + 6 × 3 count the same 78. |
| Write your own | One term per item, checked by rounding. |
| Swap and regroup | Swap two terms. The total stays the same. Group the terms a different way. The total stays the same. |
| Brackets away | A minus before a bracket flips every sign inside. A plus before a bracket changes no sign. |
| Compare by moves | A sum stays equal when one term gains what the other loses. A difference stays equal when both terms move by the same amount. |
| Near 100 | Write the number as 100 plus or minus a small gap. Multiply each part by the other number. Then subtract the gap's part, or add it. |
A chit says 3 × 25 + 40. What is the value of this expression?
7 + 4 × 3 gives 33 in one order and 19 in another. Which is the agreed value?
How many terms does 45 − 3 × 8 + 9 have?
You pay ₹100. Your items cost ₹30 and ₹20. Which line gives the change?
What does 36 ÷ 6 ÷ 3 come to?
Which line keeps its value when the two numbers swap places?
A tray is 8 rows deep and 25 across. Which line splits it into two easier counts?
3 samosas at ₹15 and 2 teas at ₹12. Which line is the bill?
Which line has the same value as 25 − 9 + 4? Do not work it out.
What is 70 − (25 − 10) with the brackets taken away?
Which sign goes in 430 + 215 □ 432 + 211?
Which line gives 99 × 16 with a split at 100?
That is Part I, Chapter 2, Arithmetic Expressions. You have worked out terms, moved brackets and split a tray.
Next: A Peek Beyond the Point. The columns carry on past the decimal point.
Reveal every answer to finish this lesson.