week 7, day 1 multiply and divide decimals by 10, 100 and
TRANSCRIPT
Week 7, Day 1 Multiply and divide decimals by 10, 100 and 1000.
Each day covers one maths topic. It should take you about 1 hour or just a little more.
1. Start by reading through the Learning Reminders.They come from our PowerPoint slides.
2. Tackle the questions on the Practice Sheet.There might be a choice of either Mild (easier) orHot (harder)!Check the answers.
3. Finding it tricky? That’s OK… have a go with agrown-up at A Bit Stuck?
4. Think you’ve cracked it? Whizzed through the Practice Sheets?Have a go at the Investigation…
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Learning Reminders
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© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
Learning Reminders
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
Practice Sheet MildMultiply and divide by 10, 100 and 1000
245 × 10 245 × 100 245 ÷ 10 245 ÷ 100
54.3 × 10 54.3 × 100 54.3 ÷ 10 54.3 ÷ 100
3.47 × 10 3.47 × 100 3.47 × 1000
7640 ÷ 10 7640 ÷ 100 7640 ÷ 1000
A
B
C
D
Challenge
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3132
3334
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51525354555657585960616263646566766869707172734775767778798081
8283
8485
8687
8889
9091
9293
9495
9697
9899
100
1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 036
Place value grid
1 _10s
1 _100s0.1s 0.01s1s10s100s1000s
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
© Hamilton Trust
Practice Sheet HotMultiply and divide by 10, 100 and 1000
Challenge
Write your own chain of at least four steps which starts and ends on the same number, like Section G.
3.47 × 10 3.47 × 100 3.47 × 1000
7640 ÷ 10 7640 ÷ 100 7640 ÷ 1000
845 × ________ = 845,000 845 ÷ ________ = 8.45
_________ × 10 = 36.2 ________ ÷ 100 = 36.2
24.5 × 10 ÷ 100 × 1000 ÷ ________ = 24.5
A
B
C
D
E
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
Multiply and divide by 10, 100 and 1000 (mild)A 245 ÷ 10 = 24.5
B 54.3 ÷ 10 = 5.43
C 3.47 × 1000 = 3470D 7640 ÷ 1000 = 7.64
245 × 10 = 2450 245 ÷ 100 = 2.45 54.3 × 10 = 543 54.3 ÷ 100 = 0.543 3.47 × 10 = 34.7 7640 ÷ 10 = 764
245 × 100 = 24500
54.3 × 100 = 5430
3.47 × 100 = 347 7640 ÷ 100 = 76.4
Practice Sheets Answers
Multiply and divide by 10, 100 and 1000 (hot)
A B C D
3.47 × 10 = 34.7 7640 ÷ 10 = 764845 × 1000 = 845,000 3.62 × 10 = 36.2
3.47 × 100 = 347 7640 ÷ 100 = 76.4 845 ÷ 100 = 8.45 362 ÷ 100 = 36.2
E 24.5 × 10 ÷ 100 x 1000 ÷ 100 = 24.5
3.47 × 1000 = 3470 7640 ÷ 1000 = 7.64
Challenge
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A Bit Stuck?Multiplying and dividing by 10 and 100
Challenge
3.6 x x = 360
940 ÷ ÷ = 9.4
72 x ÷ = 7.2
34 x 10
3.4 x 10
650 ÷ 10
72 ÷ 10
800 ÷ 100
4.5 x = 45
270 ÷ = 2.7
34 x 100
3.4 x 100
650 ÷ 100
7 ÷ 10
80 ÷ 100
4.5 x = 450
270 ÷ = 27
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
3132
3334
3536
3738
3940
4142
4344
4546
4748
4950
51525354555657585960616263646566766869707172734775767778798081
8283
8485
8687
8889
9091
9293
9495
9697
9899
100
1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 036
Place value grid
1 _10s
1 _100s0.1s 0.01s1s10s100s1000s
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
34 x 10 = 340 34 x 100 = 3400 3.4 x 10 = 34 3.4 x 100 = 340650 ÷ 10 = 65 650 ÷ 100 = 6.572 ÷ 10 = 7.2 7 ÷ 10 = 0.7800 ÷ 100 = 8 80 ÷ 100 = 0.84.5 x 10 = 45 4.5 x 100 = 450270 ÷ 100 = 2.7 270 ÷ 10 = 27
A Bit Stuck?Answers
3.6 x 10 x 10 = 360 940 ÷ 10 ÷ 10 = 9.4 72 x 10 ÷ 100 = 7.2
Challenge
Multiplying and dividing by 10 and 100
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
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Investigation Find my route
Investigate routes through a grid, multiplying and dividing by 10, 100 or 1000
• Starting with 435 trace a route through the grid, moving horizontally orvertically between boxes.
• What outcome do you get? Record it.
• Try another route.
• What outcome do you get? Record it.
• Try at least 4 different routes through thegrid
• How many different outcomes can you find?
Investigate
o What are the smallest and largest possible outputs?
o Does the longest path have the largest output?
• Now choose a different 3-digit starting number.
Challenge
Draw a route on the grid. If we follow this, what single calculation can replace all those we do en-route?Answer the calculations to check. Repeat with another route.
What if diagonal moves were allowed?
© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton
3132
3334
3536
3738
3940
4142
4344
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4748
4950
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8384
8586
8788
8990
9192
9394
9596
9798
99100
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Investigation Resource Sheet
435 ÷ 100 × 10 × 10
÷ 10 × 10 × 100 ÷ 100
÷ 10 × 100 ÷ 100 × 10
× 10 ÷ 10 × 10 END
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