Place value and ordering numbers

Heidi and Ben both work with the same positive number N.

Ben works out 0.63 × N.

Tick (✓) the correct statement.

Give a reason why you ticked the statement.

Heidi correctly works out the area of a circle with radius 10 cm. Heidi uses the formula A = πr².

Heidi’s answer is 314.1592654 cm².

Ben correctly works out the area of the same circle using the same formula. Ben’s answer is bigger than Heidi’s answer.

Show how this can happen.

A teacher asks their class which of the following values is the smallest.

2^-1 4^-3 10^-2

One student says

2^-1 is the smallest because 2 is smaller than 4 and 10.

Explain the error made by the student in their reasoning and write down the smallest value.

........ The smallest value is........

Write the following numbers in order of size, smallest first.

0.329 0.34 0.3041 0.346

smallest

Write the following in order of size, smallest first.

0.2 2^-2 2 × 10^-2

Show how you decide.

smallest

Write the following in order of size, smallest first. 0.2 2^-2 2 × 10^-2

Show how you decide.

smallest

Use one of these symbols <, > or = to make each statement true.

3.5........

Write these numbers in order of size, starting with the smallest.

smallest

Alex is 1.34 metres tall. Gabi is 95 centimetres tall.

Find, in centimetres, how much taller Alex is than Gabi.

A student says that they have placed the following values in order starting with the smallest.

Has the student done this correctly? Show how you decide.

Write these numbers in order of size, starting with the smallest.

- 20 10 0.351

smallest

Find the difference between the largest and the smallest of these numbers.

34 304 3.04 300.4

A student says that they have placed the following values in order starting with the smallest.

Has the student done this correctly? Show how you decide.

Write the following numbers in order of size, smallest first.

0.529 0.54 0.51 0.502

smallest

Use one of these symbols <, > or = to make each statement true.

0.304........ 0.34

Use one of the symbols <, = or > to make each statement true.

27.06........ 27.59

Work out.

£ 4.25 + £ 5.18

-8 + 11

-6 × -9

Use one of these symbols <, > or = to make each statement true.

4.5........ 4.34

Write the following in order of size, starting with the smallest.

0.41 0.403 0.438 0.4374

smallest

Write down.

3091 rounded to the nearest hundred

3% as a decimal

the cube root of 27

Complete the statement below using a number from this list.

- 2 0 - 6 6

Write the following numbers in order of size, smallest first.

0.4 0.5 0.06 0.444 0.46

smallest

Use one of these symbols <, > or = to make each statement true.

6........ 2³

Write down the inequality for x that is shown on this number line.

Use one of these symbols <, > or = to make each statement true.

17.6........ 17.06

Round 184 329 to the nearest hundred.