Number · Challenge 5 of 25 · about 6 min
Multiply by 200
Split 200 into 2 multiplied by 100 to solve a warehouse problem.
Year 4 challenge progress
0 of 25 complete
1 Read
Your challenge
A warehouse packs 34 pencils in each tray. There are 200 trays. How many pencils are there altogether?
Take your time. Your answer is checked only when you choose Check Answer.
Curriculum details
- Curriculum code
- VC2M4N05
- Strand
- Number
- Focus
- Use place-value relationships to multiply a natural number by a multiple and power of 10.
2–5 Notice · Build · Move · Connect
Interactive visual
An interactive Split the multiplier model is ready. Choose Show Visual Trick to reveal and hear one mathematical change at a time.
Visual Trick
Split the multiplier
Think of 200 as 2 multiplied by 100.
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Step 1
Rewrite 34 × 200 as 34 × 2 × 100.
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Step 2
Combine two groups of 34 to make 68.
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Step 3
Place 68 in a place-value chart.
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Step 4
Make every digit worth 100 times as much.
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Step 5
Read the resulting value as 6,800.
6 Solve
Your answer
7 Check
Worked explanation
Why the answer makes sense
- 200 is 2 × 100.
- 34 × 2 = 68.
- Multiplying 68 by 100 makes each digit worth 100 times as much, so 68 × 100 = 6,800.
Challenge complete
This counts as one completed curriculum item. You can replay the model or review it again anytime.