Partitioning whole numbers

1. Write 46,825 in standard expanded form.

   1 mark
2. What number is $6\text{thousands}+12\text{hundreds}+3\text{tens}+4\text{ones}$?

   1 mark
3. Write 5,307 using hundreds, tens and ones.

   1 mark
4. Complete: $7,615=75\text{hundreds}+\text{\_\_\_ tens}+5\text{ones}$.

   1 mark
5. Sam writes $4,008=400+8$. Explain and correct the error.

   2 marks
6. Give two different partitions of 9,020.

   2 marks

Equivalent correct methods earn the corresponding marks. Include units where asked.

1. Write 46,825 in standard expanded form.

   1 mark

   Each part is the value of one non-zero digit.

   $40,000+6,000+800+20+5$
2. What number is $6\text{thousands}+12\text{hundreds}+3\text{tens}+4\text{ones}$?

   1 mark

   $6,000+1,200+30+4=7,234$.

   7,234
3. Write 5,307 using hundreds, tens and ones.

   1 mark

   5,300 is 53 hundreds; the remaining part is 7.

   $53\text{hundreds}+0\text{tens}+7\text{ones}$
4. Complete: $7,615=75\text{hundreds}+\text{\_\_\_ tens}+5\text{ones}$.

   1 mark

   $7,615-7,500-5=110$, which is 11 tens.

   11
5. Sam writes $4,008=400+8$. Explain and correct the error.

   2 marks

   $400+8$ is 408, not 4,008.

   The 4 means 4,000, so $4,008=4,000+8$.
6. Give two different partitions of 9,020.

   2 marks

   Both sums equal 9,020. Other equivalent partitions are valid.

   For example, $9,000+20$ and $8,000+1,020$.