Asha worked out
$$\frac{326.8 \times (6.94 - 3.4)}{59.4}$$
She got an answer of 19.5, correct to 3 significant figures - OCR - GCSE Maths - Question 3 - 2018 - Paper 1
Question 3
Asha worked out
$$\frac{326.8 \times (6.94 - 3.4)}{59.4}$$
She got an answer of 19.5, correct to 3 significant figures.
Write each number correct to 1 significant... show full transcript
Worked Solution & Example Answer:Asha worked out
$$\frac{326.8 \times (6.94 - 3.4)}{59.4}$$
She got an answer of 19.5, correct to 3 significant figures - OCR - GCSE Maths - Question 3 - 2018 - Paper 1
Step 1
Write each number correct to 1 significant figure
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
For the calculations:
326.8 rounds to 300
6.94 rounds to 7
3.4 rounds to 3
59.4 rounds to 60
Now substituting these rounded values into the expression:
60300×(7−3)
which simplifies to:
60300×4=601200=20
Step 2
Is Asha's answer reasonable?
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Asha's calculated answer is 19.5 which, when rounded to 1 significant figure, is 20.
Since 20 is very close to Asha's answer of 19.5, we can conclude that Asha's estimate is reasonable.