5 thousands, 3 hundreds, 6 tens and 7 ones (5,000 + 300 + 60 + 7) or 53 hundreds, 6 tens and 7 ones (5,300 + 60 + 7) or 536 tens and 7 ones (5,360 + 7) or 5,367 ones (5,367)
Learn
Numbers can be broken into lots of different combinations
1 Show these numbers on the numeral expanders. a 2,431 b 8,276
2 Answer these place value questions.
How much is the 7 worth in the number 2,785?
How much is the 9 worth in the number 9,103?
How many hundreds are in all of 4,168?
How many tens are in all of 3,496?
How many ones are in all of 6,219?
3 Write each number:
a in words
i 4,568
ii 8,043
iii 7,109
4 How many?
b on the place value house.
Place value house
Thousands Hundreds TensOnes
How do the numbers in words connect with the place value house?
DRAFT
1 Rewrite the number of votes in the table from largest to smallest.
2 Make the largest number possible with 1, 7, 8 and 0.
3 Make the smallest number possible with 3, 8, 2, 1 and 3.
4 Count on and back from the number you made in question 2.
5 Circle the number in which:
a 4 has the greatest value 3,472 6,324 4,012
b 9 has the smallest value 6,889 3,914 1,900
c 5 has the smallest value. 19,875 2,536 6,851
6 A hiker records the distances travelled on three different walking trails.
• Trail X: 5,430 metres
• Trail Y: 6,215 metres
• Trail Z: 4,800 metres
a Write down the distances of each trail in words.
Trail X:
Trail Y:
Trail Z:
b Order the trails from shortest to longest.
c How much longer is Trail X than Trail Z?
7 Circle the bigger number in each of these pairs.
a 345 or 354 b 2,369 or 2,198 c 5,592 or 5,679
d 983 or 1,276 e 4,309 or 4,390 f 214 or 241
g 396 or 369 h 507 or 570 i 842 or 824
j 1,204 or 1,240 k 2,368 or 2,386 l 3,107 or 3,170
Deepen
1 Complete the following number patterns.
a Start at 742 and count forwards in 10s.
742 752
b Start at 253 and count forwards in 100s.
253 353
c Start at 482 and count forwards in 1,000s.
482 1,482
d What do you notice about these patterns? Which place value column is changing in each pattern? Go back and circle the numbers that changed when either 10, 100 or 1,000 was added.
2 Riley is collecting stickers. She currently has 256 stickers. If Riley adds 100 stickers to her collection each week, how many stickers will she have after 3 weeks?
DRAFT
3 Dave has $153 in his account. His Mum says she will pay him $10 to mow the lawns each week. How many weeks will it take for Dave to save more than $200?
Topic 1.2 Rounding
Rounding to the nearest 10
Every number lives between two multiples of 10.
Example: Is 47 closer to 40 or 50?
We can use a number line to help us round.
The number 47 is nearer to 50 than it is to 40. So, 47 rounded to the nearest ten is 50.
Learn
Rounding rules: 4 or less: Round down. 5 or more: Round up.
1 Mark each number on the number line and circle the nearest ten it would round to.
2 Solve these rounding problems.
a Mike read 27 pages of his book one day. If he rounded that number to the nearest ten, how many pages would he say he read?
b Yasmin spent a total of $48 on groceries. If she rounds this amount to the nearest ten, what amount will she say she spent?
c The zoo has 152 animals in total. If the zookeeper rounds that number to the nearest ten, how many animals are at the zoo?
Rounding to the nearest 100
When we round to the nearest 100, we are looking for which multiple of 100 (e.g. 100, 200) the number is closest to on a number line.
3 Locate the following numbers on each number line and circle the nearest 100.
Look at the tens digit: If the tens digit is 4 or less → Round down. If the tens digit is 5 or more → Round up.
DRAFT
4 Complete this table and identify which “100” is the nearest. The first one has been completed for you.
5 The Smyth family drove around New Zealand on holiday. Read the distances they travelled and round them to the nearest 100 km.
a Auckland to Gisborne, they drove 495 km. This is approximately . b Napier to Wellington, they drove 325 km. This is approximately . c Clyde to Mosgiel, they drove 186 km. This is approximately .
Rounding to the nearest 1,000
To round to the nearest 1,000, you must look at the hundreds digit.
Example: 3,700 sits between 3,000 and 4,000.
It is closer to 4,000, so 4,000 is the nearest 1,000.
Explore
Look at the hundreds digit. If the hundreds digit is 4 or less → Round down. If the hundreds digit is 5 or more → Round up.
1 Locate the following numbers on each number line and circle the nearest 1,000.
a 8,900
2 Complete this table and identify which “1,000” the number is nearest to. Two examples have been done for you.
3 Solve these rounding problems.
DRAFT
a Aoraki/Mount Cook is 3,724 metres high. Rounded to the nearest 1,000, the height is metres.
b Rakaia Bridge is the longest road bridge in New Zealand. It is 1,756 m long. Rounded to the nearest 1,000, it would be m.
c Spark Arena in Auckland can hold 12,200 people. Rounded to the nearest 1,000, the capacity is .
Rounding tenths to the nearest whole number
To round decimal numbers to the nearest whole number, you need to look at the tenths digit. E.g. 6.8 sits between 6 and 7.
On the number line, 6.8 sits closer to 7, so 6.8 rounded to the nearest whole number is 7.
Look at the tenths digit: If the tens digit is 4 or less → Round down. If the tens digit is 5 or more → Round up.
4 Place each decimal number on the number line, and circle the nearest whole number.
5 Complete this table.
DRAFT
6 a A conservationist weighs a Little Spotted Kiwi. The scale shows 1.29 kg. What is its weight rounded to the nearest whole number? kg
b Sarah ran 5.62 kilometres in her morning jog. If she rounds that distance to the nearest kilometre, how far did she run?
Deepen
1 Round up or down to the nearest 10. a 62 b 48 c 2,164 d 34,137
2 Round up or down to the nearest 100. a 491 b 1,802 c 12,988
3 Round up or down to the nearest 1,000. a 6,088 b 34,470 c 83,808
4 Complete the table by rounding each number to the nearest 10, 100 and 1,000.
5 Play this game with a classmate. You will need 3 dice and some counters each. One person rolls all 3 dice and arranges them into a number. E.g. 325, 532, 523, etc. Round your number to the nearest 10, and place your counter on that number on the board. If you get 4 counters in a row, you get a point.
