1.1 Place value and ordering numbers — Practise

Work through these on your own. Keep your working neat: the method matters as much as the answer. Questions marked H are for Higher tier.

Both the questions and the answers below come from a set that is checked by computer every time the book is built.

1. Write the value of the digit $8$ in $5\,082$.
2. Write the value of the digit $3$ in $0.136$.
3. Work out: (a) $7.4 \times 10$ (b) $7.4 \times 100$ (c) $7.4 \div 100$.
4. Work out $0.06 \times 1000$.
5. Insert $<$, $>$ or $=$: (a) $0.45 \;\square\; 0.5$ (b) $-8 \;\square\; -12$ (c) $1.10 \;\square\; 1.1$.
6. Write these numbers in order, smallest first: $0.505$, $0.55$, $0.5$, $0.0505$.
7. Write these temperatures in order, coldest first: $-6^\circ\text{C}$, $2^\circ\text{C}$, $-1^\circ\text{C}$, $0^\circ\text{C}$, $-3^\circ\text{C}$.
8. A bank balance goes from $£42$ to $-£15$ to $-£3$. Put the balances in order, smallest first.
9. True or false? Explain each answer. (a) $0.7 > 0.65$ (b) $-2 > -1$ (c) $0.30 = 0.3$.
10. H Write a decimal that is between $0.3$ and $0.31$.
11. H The digits $4$, $0$, $7$ are used once each to make a number with one decimal place. List all the possible numbers and write them in order.
12. In the chapter problem the cans cost 65p and sell for £1.20. Write a sentence using $<$ to compare these two amounts, and a sentence using $>$ to compare £1.85 with £3.00.