Chapter 7 Decimals Worksheet - New Century Maths Page 26

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Exercise 7-11
1 What happens when you divide by a number less than 1?
Example 17
a 18 ÷ 0.5 means ‘how many times does 0.5 go into 18’. Is the answer more or less
than 18? Why?
b Estimate the answer to 18 ÷ 0.5.
c Use the method from Example 17 to evaluate 18 ÷ 0.5.
2 a 20.4 ÷ 0.3 means ‘how many times does 0.3 go into 20.4’. Is the answer more or less
than 20.4?
b Estimate the answer to 20.4 ÷ 0.3.
c Find the exact answer to 20.4 ÷ 0.3.
3 Rewrite each of the following divisions so that the second decimal is a whole number.
a 508.8 ÷ 1.2
b 17.82 ÷ 0.11
c 333 ÷ 4.5
d 1.725 ÷ 2.5
e 129.2 ÷ 0.38
f 49.5 ÷ 1.5
g 168 ÷ 0.75
h 14.823 ÷ 0.61
0.66 ÷ 0.022
i
4 Evaluate each of these, and check that your answers seem reasonable by estimating:
a 3.48 ÷ 0.4
b 7.32 ÷ 0.2
c 2.94 ÷ 0.6
d 16.28 ÷ 2.2
e 27 ÷ 0.25
f 10.08 ÷ 2.4
g 10.4 ÷ 0.05
h 5.6 ÷ 0.07
1.71 ÷ 0.3
i
j 40.82 ÷ 5.2
k 532 ÷ 3.5
78.12 ÷ 6.2
l
m 0.272 ÷ 0.08
n 98.4 ÷ 0.08
o 465 ÷ 7.5
Working mathematically
Reflecting and applying strategies: Practising your skills
The cards for this set of questions have been printed with the decimal points in the
wrong places. Insert the decimal points so that the numbers on the cards fit the clues.
1 The product of these two numbers is 134.64.
561
2.4
The sum of the numbers is 58.5.
2 The difference between the numbers is 178.8.
When you divide the greater number by the smaller
183
42
number, the quotient is between 43 and 44.
3 The sum of the three numbers is 5.36.
The product of the numbers is 1.2096.
8
42
36
4 The sum of the three numbers is 4.61.
The product of the numbers is 0.9135.
15
29
21
5 The sum of the four numbers is 2.55.
The product of two numbers is 0.196.
7
31
14
14
The product of the other two numbers
is 0.217.
223
DECIMALS
CHAPTER 7

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