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Place Value Blocks 05 - Hard

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Count the blocks and write the number.

Practice and check

Worked example

Count hundreds, tens, and ones separately, then combine their values.

3 × 100 + 0 × 10 + 5 = 305

  1. 3 × 100 + 0 × 10 + 5 = 305
Check answers after trying

1: 3 × 100 + 0 × 10 + 5 = 305 2: 1 × 100 + 5 × 10 + 7 = 157 3: 8 × 100 + 3 × 10 + 2 = 832 4: 4 × 100 + 7 × 10 + 8 = 478 5: 2 × 100 + 6 × 10 + 8 = 268 6: 6 × 100 + 0 × 10 + 5 = 605

Printed order

Next worksheet: Place Value Blocks 01 - Easy

Shared practice guide

Tips for Parents

▸ Why It Matters This worksheet ranges far wider than its three-digit partner sheet — from 157 all the way up to 832 — so your child sometimes has to carefully count as many as eight hundred-flats in a row without losing track. It also brings back the tricky "empty column" idea from earlier, easier worksheets: two of the numbers here, 305 and 605, have zero tens, meaning the tens column needs a written "0" even though there's nothing pictured there to count. Combining a large hundreds count with an empty-column number in the same worksheet means two separate skills your child practiced separately on earlier sheets now have to work together at the same time. ▸ Getting Started Rather than trying to read the whole three-digit number at a glance, have your child count each block type completely separately and jot down the three totals before combining them into one number — hundreds first, then tens, then ones, always in that order. For a number like 832, that means counting all eight hundred-flats first and writing "8," then moving on to the tens, then the ones, rather than trying to hold all three counts in their head at once while counting the whole picture together. ▸ If They Get Stuck On a number like 305 or 605, a child will often jump straight from "3 hundreds" to "5 ones" and forget that the tens column needs a zero, since there's nothing pictured there to remind them. Ask them to check each of the three spots one at a time, in order, and say out loud what they see there — even when the honest answer is "there's nothing here" — rather than letting them skip straight past an empty column. For the larger hundreds counts, if your child loses track partway through counting eight flats, have them mark or point to each flat as they count it rather than just counting with their eyes. ▸ Praise Points Praise your child for correctly counting a large hundreds group, like the eight flats in 832, all the way through without losing track partway — that kind of sustained, careful counting is a real accomplishment at this level. Just as importantly, praise them for remembering the zero on numbers like 305 and 605, since both of these — losing count partway through a large group, and forgetting a placeholder zero — are exactly the two mistakes this harder worksheet is specifically designed to catch.

What This Worksheet Builds

This worksheet combines two harder skills into one problem: counting larger groups of up to eight hundred-flats, as in 832, and remembering to write a zero placeholder in the tens column for numbers like 305 and 605. By putting both challenges together, it pushes your child to apply the counting stamina and the placeholder-zero habit built on the two easier worksheets in this series at the same time, rather than one at a time.

Next Step

Once your child is comfortable reading and writing three-digit numbers from blocks, including numbers with a zero in the tens place, move on to the Addition Practice series to start putting this place-value understanding to work in column addition with regrouping. Recognizing that a ten-rod is worth ten ones, and a hundred-flat is worth ten tens, is exactly the foundation that carrying and borrowing in addition and subtraction depend on.