1.1 Place value and ordering numbers — Practise with help

1. $60$ (six tens).
2. $34$.
3. $0.7 = 0.70 > 0.68$.

Name the column the $5$ sits in: ones, tens, tenths, hundredths?

(a) hundreds, so $500$. (b) hundredths, so $0.05$. (c) tenths, so $0.5$.

Moving digits: each multiply by 10 shifts one place left; each divide by 10 shifts one place right.

(a) $620$. (b) $5.3$. (c) $400$.

Write each pair with the same number of decimal places, or picture them on a number line.

(a) $0.60 > 0.58$, so $>$. (b) $-4$ is further left, so $-4 < -1$. (c) $2.09 < 2.10$, so $<$.

Pad to three decimal places: $3.700,\ 0.730,\ 3.070,\ 0.703$.

$0.703 < 0.730 < 3.070 < 3.700$, so $0.703,\ 0.73,\ 3.07,\ 3.7$.

Sketch a number line from $-5$ to $5$. The rise is the gap between the two marks.

$-3\,^\circ\text{C}$ is lower. The rise is $4 - (-3) = 7\,^\circ\text{C}$.

Pad to three decimal places and compare.

$£0.790 < £0.809 < £0.850 < £0.900$, so the cheapest is $£0.79$.