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Primary 5 Numbers to 10 Million study guide: the whole chapter, step by step
About this subtopic
This mixed practice stop brings together 2 topics from Primary 5 Numbers to 10 Million: Up to 10 million, Reading a scale. Nothing on the question says which topic it comes from, so choosing the method is part of the skill.
Practice questions with worked solutions
Question 1 is free to try. The other 2 open in the free trial, each with its full working.
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Start the 7-day free trialQuestion 1 of 3 · Intermediate · free to tryA seven-digit number has the digit 2 in its millions place, the digit 8 in…A seven-digit number has the…
A seven-digit number has the digit 2 in its millions place, the digit 8 in its hundred thousands place and the digit 5 in its ten thousands place. Every other digit is 0. On the number line shown, the arrow stands on that number. Only 2 400 000 is labelled, the whole line is divided into 7 equal gaps, and the arrow stands on the third mark past the label. What number belongs at the right-hand end of the line?
Show the working and the answer
Working
- 2 in the millions place = 2 000 000
- 8 in the hundred thousands place = 800 000
- 5 in the ten thousands place = 50 000
- the number = 2 000 000 + 800 000 + 50 000 = 2 850 000
- value at the arrow = 2 850 000
- number of equal gaps from 2 400 000 to the arrow = 3
- 1 gap = (2 850 000 − 2 400 000) ÷ 3 = 150 000
- the whole line is 7 gaps, so the right-hand end = 2 400 000 + 7 × 150 000 = 3 450 000
- The number at the right-hand end of the line is 3 450 000.
Answer: 3 450 000
For parents
How should my child work through P5 numbers to 10 million mixed practice?
Each question here starts on a number line marked in hundreds of thousands and finishes with place value.
What your child learns here
Each question here starts on a number line marked in hundreds of thousands and finishes with place value. Your child first works out what one equal gap is worth, reads or places a number on the line, and then uses that number again: to find a digit's value, to label the end of the line, or to compare it with a number written in words. Both halves come from the Primary 5 outcome on reading and writing numbers up to 10 million.
- Find the size of one gap first: the difference between two labelled marks divided by the number of equal gaps between them.
- Count gaps, not marks, when moving along the line from a labelled number.
- Build a seven-digit number from its named places, writing 0 in every place the question does not mention.
- The value of a digit depends on its place: the 8 in 3 800 000 stands for 800 000, not 8.
- Write a number given in words as a numeral before comparing it with numbers read off the line.
Does the answer make sense?
A number read off the line must sit between the two labels around it. In the question with two marks and a number in words, two million, four hundred and five thousand is 2 405 000, and 2 420 000 is greater because its ten thousands digit is 2, not 0, while the millions and hundred thousands match.
How to practise these questions
All three questions in this set are Intermediate, and each has two steps that depend on each other. One builds a number from its millions, hundred thousands and ten thousands digits, places it on a line with only one label, and asks what belongs at the far end. One reads the arrow on a line between 3 000 000 and 4 200 000 and asks for the value of one digit in that number. The third reads two marked points and compares them with a number written in words. Before your child reads any mark, ask what one gap is worth and how they know. If the first step is shaky, the second cannot be right, so check the gap size in the worked solution before anything else.
Questions parents ask
Why does my child find the number line harder than the place value? The line hides its scale. Only one or two marks carry numbers, so the value of each gap has to be worked out before any mark can be read. Once that gap is known, the rest is the place value your child already uses.
Should my child count the marks or the gaps? The gaps. Moving from one mark to the next adds one gap, so three marks past a label is three gaps past it. Counting the starting mark as well adds one gap too many.
How do you write a seven-digit number from its places? Write a 0 in each of the seven places, then put in the digits the question names. A number with 2 millions, 8 hundred thousands and 5 ten thousands is 2 850 000.