Primary 5 Numbers to 10 Million Study Guide
Primary 5 numbers to 10 million in four short steps: the value of a digit, numbers in words and figures, the value of one gap, and reading a mark on a scale. Every step has something to tap, then worked examples and a five-question check.
Start here
How do you read and write numbers up to 10 million?
Split the number into groups of three from the right: ones, thousands, millions.
Each group is read like a number under 1000, then given its name. So 2 607 450 is two million, six hundred and seven thousand, four hundred and fifty. Inside the groups, every place has its own value, and a digit is worth the digit and its place together. Number lines use the same number sense: find what one gap is worth, then count on.
In this chapter, your child learns to:
- read and write numbers up to 10 million in numerals and in words;
- say what each digit is worth by naming its place first;
- find the value of one equal gap on a number line or scale;
- read a marked position by counting on from a printed number.
Step 1
Place value up to 10 million: the value of a digit
Name the place first, then write what the digit is worth. The ones place never moves, so count the places out from there: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions. A 6 in the ten thousands place is 6 times ten thousand, which is 60 000. The digit and its value are different answers, and a zero is worth nothing at all.
Tap Next step
In 2 951 476, what is the value of the digit 9?
Step 2
Writing numbers to 10 million in words and figures
Keep millions, thousands and ones in matching groups. In figures, the thousands group and the ones group always have three digits each, so a zero fills any empty place. In words, a comma separates the groups. "And" goes after the hundreds inside a group, and before a last group under 100. A zero keeps its place even though nobody says it.
Tap Next step
Write six million, three hundred thousand and fifteen in figures.
Step 3
Reading a number line: the value of one gap
Count gaps, not marks. Number lines and scales do not always split into tens. When only two numbers are printed and the marks between them are equally spaced, count the gaps between the printed numbers. One gap is the larger number minus the smaller one, divided by the number of gaps. Then start at a printed number and add one gap at a time.
Tap Next step
A number line has only 400 and 700 printed, with 6 equal gaps between them. What is one gap worth?
Step 4
How to read a scale between and beyond the labels
Count on, or back, from the nearer printed number. Once one gap is known, every gap on the scale is worth the same. A mark just before a printed number is quickest read by counting back from it. A mark past the last printed number is read by counting on from that number. Write the calculation before the reading.
First, find one gap.
A scale has only 10 kg and 20 kg printed, with 4 equal gaps between them. The pointer is 1 gap past 20 kg. What is the reading?
Primary 5 numbers to 10 million questions, worked step by stepCover the working and try each one. A hint gives a nudge, and every further tap opens one more line.
In 5 318 642, what is the value of the digit 3?
- Ones, tens, hundreds, thousands, ten thousands, hundred thousands.
- The 3 is in the hundred thousands place.
- value of the digit 3 = 3 × 100 000 = 300 000
Write eight million, twenty-five thousand and seventy in figures.
- eight million = 8 000 000
- twenty-five thousand = 25 000
- seventy = 70
- number in figures = 8 000 000 + 25 000 + 70 = 8 025 070
Write 5 090 600 in words.
- millions group 5: five million
- thousands group 090: ninety thousand
- ones group 600: six hundred
- 5 090 600 = five million, ninety thousand, six hundred
Part of a number line is shown. Only 2 000 000 and 3 000 000 are printed, and there are 5 equal gaps between them. The arrow is 2 gaps before 3 000 000. What number does the arrow point to?
- number of equal gaps = 5
- 1 gap = (3 000 000 − 2 000 000) ÷ 5 = 200 000
- value at the arrow = 3 000 000 − 2 × 200 000 = 2 600 000
Part of a number line is shown. Only 450 000 and 500 000 are printed, with 5 equal gaps between them. Point P is 2 gaps before 450 000, and point Q is 3 gaps after 500 000. Find the difference between the value at Q and the value at P.
- 1 gap = (500 000 − 450 000) ÷ 5 = 10 000
- gaps from P to Q = 2 + 5 + 3 = 10
- difference = 10 × 10 000 = 100 000
Step 5
Check yourself
Five questions on digits, number words and scales. Nothing is stored, and each reply links to matching practice.
1. In 7 083 254, in which place is the digit 8?
2. Which number is 3 000 000 + 50 000 + 400 + 6?
3. Write 9 012 300 in words.
4. Only 0 and 1000 are printed on a number line, with 5 equal gaps between them. The arrow is 3 gaps after 0. What number does it point to?
5. Only 3.2 and 3.6 are printed on a scale, with 4 equal gaps between them. Mark A is 2 gaps past 3.6. What is the reading at A?
Using this guide at home. Write a seven-digit number and ask your child to draw lines between its groups of three, then read it aloud one group at a time. Next, point at any digit and ask two questions: which place is it in, and what is it worth? Saying both answers out loud keeps the digit and its value apart.
On a number line or a measuring scale, ask your child to count the gaps with a pencil tip before working anything out, and to write the one-gap line first. Then ask which printed number is nearer the mark. Counting on or back from that number keeps the reading short and easy to check.
More study guides
P5 Numbers to 10 Million lessons and practice
2 lesson videos and 29 questions across two subtopics, from Basic to Challenge, each with a worked solution.
Watch and practise →