3 (a) Round 7874 to
(i) the nearest hundred,
(ii) 1 significant figure - OCR - GCSE Maths - Question 3 - 2017 - Paper 1
Question 3
3 (a) Round 7874 to
(i) the nearest hundred,
(ii) 1 significant figure.
(b) Find the value of x,
$3^5 \times 3^2 = 3^x$
Worked Solution & Example Answer:3 (a) Round 7874 to
(i) the nearest hundred,
(ii) 1 significant figure - OCR - GCSE Maths - Question 3 - 2017 - Paper 1
Step 1
Round 7874 to the nearest hundred
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Answer
To round 7874 to the nearest hundred, you look at the tens digit (which is 7). Since it's 5 or more, you round up. Thus, 7874 rounded to the nearest hundred is 7900.
Step 2
Round 7874 to 1 significant figure
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Answer
To round 7874 to 1 significant figure, you look at the first digit (7) and the second digit (8). Since 8 is 5 or more, you round the 7 up to 8. Therefore, 7874 rounded to 1 significant figure is 8000.
Step 3
Find the value of x, $3^5 \times 3^2 = 3^x$
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Answer
To find the value of x, use the property of exponents that states am×an=am+n. Therefore, we have:
