Using inequality notation for errors in calculations | Maths

Starter quiz

An error interval for a number $x$ shows the range of possible values of $x$ . It is written as $a\leq x < b$ . Explain what this means.
- The range of values include $a$ and $b$
- The range of values include $a$ and not $b$ ✓
- The range of values includes all the numbers strictly in between $a$ and $b$
- The range of values do not include $a$ but include $b$
When a number, $x$ , is rounded to the nearest integer the result is 63. Select the numbers which complete the error interval for $x$ : $\square \leq x <\square$
- 62.5 and 65.5
- 63.5 and 64.5
- 62.5 and 64.5
- 62.5 and 63.5 ✓
When a number, $x$ , is rounded to the nearest integer the result is 5. Select the numbers which complete the error interval for $x$ : $\square \leq x <\square$
- 4.5 and 5.6
- 4.5 and 5.5 ✓
- 3.5 and 6.5
- 4.5 and 5.49
When a number, $x$ , is rounded to the nearest integer the result is 10. Select the numbers which complete the error interval for $x$ : $\square \leq x <\square$
- 9.5 and 10.4999
- 5 and 14.5
- 5 and 14.49999
- 9.5 and 10.5 ✓
Jun rounds a number to the nearest integer and the result is 5. Izzy rounds a number to 1 d.p. and the result is 5.0. Jun says, "We must both have rounded the same number." Is Jun correct?
- Jun is correct as both are the same when rounded to 1 d.p
- Jun is correct as both values will be the same when inputting into a calculator.
- Jun is incorrect as they have different error intervals. ✓
$x$ and $y$ are both integers. $x$ = 650 (rounded to the nearest 10) and $y$ = 800 (rounded to the nearest 100). The greatest possible integer value of $x+y$ is ______.
- '1503' ✓