Photo AI

8 (a) Work out an estimate for the value of $\sqrt{63.5 \times 101.7}$ - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 1

Question icon

Question 9

8-(a)-Work-out-an-estimate-for-the-value-of-$\sqrt{63.5-\times-101.7}$-Edexcel-GCSE Maths-Question 9-2019-Paper 1.png

8 (a) Work out an estimate for the value of $\sqrt{63.5 \times 101.7}$. (2.3)^3 = 148 correct to 3 significant figures. (b) Find the value of (0.23)^3 correct t... show full transcript

Worked Solution & Example Answer:8 (a) Work out an estimate for the value of $\sqrt{63.5 \times 101.7}$ - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 1

Step 1

Work out an estimate for the value of $\sqrt{63.5 \times 101.7}$

96%

114 rated

Answer

To estimate 63.5×101.7\sqrt{63.5 \times 101.7}, we can round 63.5 to 64 and 101.7 to 100. Thus, we calculate:

64×100=6400=80.\sqrt{64 \times 100} = \sqrt{6400} = 80.
So, the estimated value is 80.

Step 2

(2.3)^3 = 148 correct to 3 significant figures.

99%

104 rated

Answer

Calculating 2.332.3^3:

2.33=2.3×2.3×2.3=12.167.2.3^3 = 2.3 \times 2.3 \times 2.3 = 12.167.

Rounding 12.167 to three significant figures gives us 12.2.

Step 3

Find the value of (0.23)^3 correct to 3 significant figures.

96%

101 rated

Answer

Calculating (0.23)3(0.23)^3:

(0.23)3=0.23×0.23×0.23=0.012167.(0.23)^3 = 0.23 \times 0.23 \times 0.23 = 0.012167.

Rounding 0.012167 to three significant figures gives us 0.0122.

Step 4

Find the value of $5^2$.

98%

120 rated

Answer

Calculating 525^2:

52=25.5^2 = 25.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;