Reviewed by an experienced teacher. Not yet classroom-trialled.

Keep each part in its place

Number lines · Grouped units · Visual practice · Number practice

WORKED EXAMPLES · 1

Keep each part in its place

Skill: write a number from its parts, including any zeros.

Error this addresses: “four thousand and seven” written as 47, 407 or 4700 instead of 4007.

3426 · Every place has a part

Three thousand, four hundred and twenty-six

Thousands3Hundreds4Tens2Ones6

3000 + 400 + 20 + 6 = 3426

Detail from 3400 to 3440 · each small space is 1

34003410342034303440+20+63426

3406 · No tens in this place

Three thousand, four hundred and six

Thousands3Hundreds4Tens0Ones6

3000 + 400 + 0 + 6 = 3406

The same detail: 3400 to 3440 · each small space is 1

34003410342034303440+63406
WORKED EXAMPLES · 2

Zero keeps the place

3006 · Two zeros

Three thousand and six

Thousands3Hundreds0Tens0Ones6

3000 + 0 + 0 + 6 = 3006

306 = 300 + 6. Its 3 means hundreds, not thousands.

010002000300040003063006Zoom: 3000–3010 only · each space is now 130003001300230033004300530063007300830093010+1+1+1+1+1+1

The six ones are too small to count on the overview above.

6040 · Zero ones

Six thousand and forty

6000 + 0 + 40 + 0 = 6040

Detail from 6000 to 6100 · each space is 10

600060206040606060806100+10+10+10+10

Four tens, zero ones: 6040.

ANOTHER MODEL · THE SAME 3006

Build it from grouped units

Every little square is 1. Ten of one unit make the next unit.

1 one1 ten = 10 ones1 hundred = 10 tens1 thousand = 10 hundreds100100100100100100100100100100

3006 · Three thousand and six

3 thousands0 hundredsNo extra hundreds0 tensNo extra tens6 ones

3006 = 3000 + 0 + 0 + 6

= means the same amount.

Write 0 in the hundreds and tens places. The 3 still means 3000.

The same number on the line: 3000, then 6 more.

VISUAL PRACTICE · Name: ____________________

Complete the pictures

Fill the gaps. Draw the missing jump.

A · Make 3024

3000 to 3040 · each small space is 1

30003010302030303040+20+___

3000 + + = 3024

B · Draw the jump to 3004

The same scale · each small space is 1

30003010302030303040

3000 + =

C · Four thousand and eight

Thousands4HundredsTensOnes8

Number:

D · Six thousand and thirty

ThousandsHundredsTensOnes

6000 + =

PRACTICE · Name: ____________________ Date: __________

Write each part in its place

Write the number for questions 1–9.

12000 + 500 + 30 + 4
22000 + 500 + 4
3Two thousand and four
46000 + 70
5500 + 9
6Four thousand and eighty
7Seven thousand and five
89000 + 300
97000 + 600 + 2
10Write 5080 in words.
11Write 9060 as expanded parts.
12Eight thousand and two: 8200 or 8002?
Choose and explain the value of the 2.