Place Value
Grade 2 · medium
Solve each problem. Show your thinking when you need to.
Break a number into its places, and on the challenge setting work back the other way from the parts to the number. The number of places follows the grade, so Grade 1 never meets hundreds.
Grade 2 · medium
Solve each problem. Show your thinking when you need to.
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Difficulty is a real change to the numbers or the layout, not a label.
Two digits — tens and ones.
Three digits — hundreds, tens and ones.
Four digits, alternating between splitting a number and building one.
Tap a grade you can use for a page of everything a child that age can practise here.
Carrying, borrowing, comparing numbers, rounding, and eventually decimals all depend on one idea: the position of a digit tells you what it is worth. A child who is fluent with that finds column arithmetic obvious. A child who is not will learn the steps and forget them over the summer.
When multi-digit arithmetic goes wrong in Grade 3 or 4, this is usually where the repair work belongs, even though it looks like a Grade 1 topic.
Reading 347 and saying there are 4 tens is one skill. Being told 3 hundreds, 4 tens and 7 ones and writing 347 is another. The second is where children who have memorised a pattern come unstuck, especially when a place is empty and the answer needs a zero.
The harder settings include numbers with zeros in the middle for exactly that reason.
A place with zero in it is omitted, so 402 is written as 4 hundreds + 2 ones rather than including an empty tens place.
It alternates direction: half the questions give the number and ask for the parts, half give the parts and ask for the number.
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