1003 WordsMay 26, 20145 Pages

Chapter 1 Whole numbers
43
remember remember
1. An estimation can be used when the exact answer is not required. 2. An estimation can be used to check a calculation. 3. A useful estimation can be made by rounding each number to the ﬁrst digit and then performing the appropriate calculation. 4. If the second digit is 0, 1, 2, 3 or 4, the ﬁrst digit stays the same. If the second digit is 5, 6, 7, 8 or 9, the ﬁrst digit is increased by 1 or rounded up.
1G
WORKED
Estimation
Math
cad
Example
1 Estimate 67 451 × 432.
Estimation
14
2 Copy and complete the following table by rounding the numbers to the ﬁrst digit. The ﬁrst row has been completed as an example. In the column headed ‘Prediction’, guess whether the actual answer will be higher or lower than your estimate. Then use a calculator to work out the actual answer and record it in the ﬁnal column titled ‘Calculation’ to determine whether it was higher or lower than your estimate.
Is the actual answer higher or lower than the estimate? Estimate Estimated answer Prediction Calculation
The four operations
E
L Spread XCE
sheet
1.8
Rounding
SkillS
T HEE
Example 4129 ÷ 246
4000 ÷ 200
20
Lower
to the 16.784 553 ﬁrst so lower (leading) digit
a b c d e f
487 + 962 33 041 + 82 629 184 029 + 723 419 93 261 − 37 381 321 − 194 468 011 − 171 962 (continued)
44
Maths Quest for Queensland Book 1
Is the actual answer higher or lower than the estimate? Estimate Estimated answer Prediction Calculation
g h i j k l
87 × 432 623 × 12 671 29 486 × 39 31 690 ÷ 963 63 003 ÷ 2590 37 009 ÷ 180
3 multiple choice a The best estimate of 4372 + 2587 is: A 1000 B 5527 b The best estimate of 672 × 54 is: A 30 000 B 35 000 c The best estimate of 67 843 ÷ 365 is: A 150 B 175 C 6000 C 36 000 C 200 D 7000 D 42 000 D 250
4 Estimate the answers to each of these. a

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