Write 8,209 divided by 10. Give the answer as a decimal or whole number.
(1)
3
Complete the missing number: 0.83 times 1000 = ___.
(2)
4
A model car is 0.032 m long. What is its length in millimetres? (1 m = 1000 mm)
(1)
5
Explain why multiplying a number by 100 moves each digit two places to the left on a place value chart. Use the number 4.6 as an example.
(2)
6
A school bought 0.9 kg of clay for each classroom. There are 100 classrooms. Explain in words how you would work out the total mass of clay and give the answer.
(2)
7
Write 12,345 multiplied by 10, then divide your answer by 100. What is the final result?
(1)
8
A sticker costs £0.06. How much do 1,000 stickers cost?
(2)
9
A medicine bottle contains 0.087 litres of liquid. How many millilitres is this? (1 litre = 1000 ml)
(2)
10
Sofia multiplies 5.4 by 1000 and says the digits move three places to the left. Explain why this is correct and show the answer.
(3)
11
What is 7 divided by 10 written as a decimal?
(1)
12
Multiply 3.2 by 10. Write your answer as a decimal.
(1)
13
Divide 2,400 by 100. Write the answer.
(1)
14
A recipe needs 0.25 litres of milk. How much milk is needed for 100 recipes?
(2)
15
Write 5,600 multiplied by 100 as a number.
(1)
16
A pencil costs £0.45. How much do 1,000 pencils cost?
(2)
17
Divide 0.06 by 10. Write the answer as a decimal.
(1)
18
Maya has 3.75 kg of flour. She uses 100 times this amount for a big bake. How much flour does she use in kg?
(2)
Mark scheme · 3.5 Multiplying and Dividing by 10, 100 and 1000
Question 1
B1 460 cao
Answer: 460
Question 2
B1 820.9 or 820.90 cao
Answer: 820.9
Question 3
M1 shift decimal right 3 places or show multiplication
A1 830 cao
Answer: 830
Question 4
B1 32 mm cao
Answer: 32
Question 5
M1 reference to place value columns shifting or explanation that each 10 multiplies one place
A1 example: 4.6 x 100 = 460 and digits move two places left cao
Answer: 4.6 x 100 = 460
Question 6
M1 method explained (multiply 0.9 by 100 or shift decimal two places) or correct intermediate
A1 90 kg cao
Answer: 90
Question 7
B1 1,234.5 cao
Answer: 1,234.5
Question 8
M1 multiply 0.06 by 1000 or shift decimal right 3 places
A1 £60 cao
Answer: 60
Question 9
M1 multiply 0.087 by 1000 or shift decimal right 3 places
A1 87 ml cao
Answer: 87
Question 10
M1 explain that multiplying by 10 moves digits one place left and 1000 is 10 x 10 x 10 so three places
M1 reference to decimal point shifting right 3 places or equivalent
A1 5.4 x 1000 = 5,400 cao
Answer: 5,400
Question 11
B1 0.7 cao
Answer: 0.7
Question 12
B1 32.0 or 32 cao
Answer: 32
Question 13
B1 24 cao
Answer: 24
Question 14
M1 multiply 0.25 by 100 or recognise shift of decimal seen
A1 25 litres cao
Answer: 25
Question 15
B1 560,000 cao
Answer: 560000
Question 16
M1 multiply 0.45 by 1000 or shift decimal right 3 places
A1 450.0 or £450 cao
Answer: 450
Question 17
B1 0.006 cao
Answer: 0.006
Question 18
M1 recognise multiply by 100 or shift decimal by 2 places