4:37Roman Numerals to 1000 | How to Read and Write Them
Read and write Roman numerals by partitioning a number, converting each part and combining the groups.
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4:37
5:08How to Do Long Division | Step by Step
Work through 432 ÷ 12 on an aligned grid, understand each digit's place value, then try 552 ÷ 12.
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6:08What Does the Remainder Mean?
Keep 494 ÷ 12 and explore how the question changes the answer you need to report.
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1:33Partition flexibly using an exchange
Exchange one ten-thousand for ten thousands and make a different partition of 53,620.
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1:59Placing Numbers on a Number Line: Use an Enlarged Interval
Locate 356,000 by finding the main scale, enlarging one interval and counting the smaller gaps.
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1:27Comparing Numbers: Find the First Different Digit
Compare 63,482 and 63,428 by finding the first different digit from the greatest place.
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1:41Rounding to the Nearest 1,000 | Which Digits Matter?
Use the halfway value to explain why 63,492 and 63,502 round to different thousands.
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2:09Rounding Ranges | Find the Smallest and Greatest Whole Numbers
Work backwards to find every whole number that rounds to 36,800 to the nearest hundred.
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0:41Write a six-digit number in numerals
Write 930,036 by reading the thousands group and the final three places, keeping the zero placeholders.
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1:33Multiply by 1,000 using place value
Build 1,000 times the size of one through three successive factors of ten, connecting exchanges to digit value.
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2:12Count backwards through zeros
Count backwards six steps of ten from 200,030, exchanging through empty places and keeping the step size unchanged.
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1:20Comparing Numbers in Different Units | Ten-Thousands Explained
Convert 48 ten-thousands into 480,000, then compare it with 479,500 using the first different place.
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1:51Rounding to the Nearest 10,000 | 5- and 6-Digit Numbers
Use bounding multiples and halfway to round 83,421 and 397,612 to the nearest 10,000, including a boundary crossing.
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5:53Long Division with a Zero in the Answer
Explain why 1,512 ÷ 14 = 108 needs a zero in the tens column, then try 1,428 ÷ 14.
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0:55Read base-ten equipment
Connect base-ten equipment, place-value parts and number words to read 1,471.
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0:59Read five-digit numbers
Read 14,714 from place-value counters and connect its parts to the numeral and number words.
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1:04Read six-digit counter charts
Read 147,147 from a six-column counter chart and connect the thousands group with the final three places.
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1:11Number Line Intervals: Find the Scale from Non-Zero Endpoints
Find the value of one interval from 240,000 to 360,000 by subtracting the endpoints and counting six equal gaps.
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2:06Rounding to the Nearest 100,000 | Crossing into One Million
Compare 949,999, 950,000 and 950,001 to explain rounding just below, exactly at and just above halfway.
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1:55Rounding to the Nearest 100,000 | Check and Correct an Answer
Check the claim that 837,264 rounds to 900,000 by comparing the bounds, halfway and distances.
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0:47Multiply by 10 using place value
Connect 1 × 10 = 10 to ten ones, one exchanged ten and a digit with ten times the value.
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1:09Multiply by 100 using place value
Build 100 times the size of one through two successive factors of ten, connecting exchanges and digit value.
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0:54Find one tenth using place value
Find one tenth of 10 by exchanging one ten for ten ones and selecting one equal part.
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1:25Find one hundredth using place value
Find one hundredth of 100 through two stages of exchanging and selecting one tenth of the current value.
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1:57Find one thousandth using place value
Find one thousandth of 1,000 through three stages of splitting into ten equal parts and taking one part.
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1:21Reason about horizontal counter moves
Start with 303,030 on a Gattegno chart and organise every total from two specified moves of different counters.
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1:45Estimating on a Number Line: Explain Your Answer
Use interval values and a halfway benchmark to estimate a number on a line and explain how precise the estimate can be.
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2:07Rounding or Exact Numbers? | Making a Capacity Decision
Compare two proposed attendance totals with a venue’s capacity and see when a rounded estimate is useful and when an exact number is needed.
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1:47Why Rounding Twice Can Give the Wrong Answer
Compare rounding 57,499 directly to the nearest 1,000 with rounding to the nearest 100 first.
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2:47Rounding Ranges | Solve Two Rounding Clues
Find every whole number that satisfies two rounding clues by finding where the two ranges overlap.
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1:30Choose a useful partition for a calculation
Split 46,025 and 3,004 into parts that make the addition easier, then recombine them.
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2:15Ordering 5-Digit Numbers with Zeros | Descending Order
Order five closely related numbers by comparing matching place-value columns, including columns with a zero digit.
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