Standard Form

Topic

Higher June 2025 Paper 1R Q14

EdexcelCurrent spec2 marksStandard Form

14 Work out \(6.7 \times 10^{135} + 3 \times 10^{134}\)
Give your answer in standard form.

(2)

Mark scheme

Scheme	Marks
eg \(0.3 \times 10^{135}\) or \(67 \times 10^{134}\) or \((6.7 + 0.3) \times 10^{135}\) or \(70 \times 10^{134}\) or \(0.7 \times 10^{136}\) or \(7 \times 10^n\), \(n \ne 135\)	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: \(7 \times 10^{135}\)	A1
	(2)
	(2 marks)

EdexcelCurrent spec4 marksStandard Form

(a) Write 520 million in standard form. (1)

(b) Write \(8.79 \times 10^{-5}\) as an ordinary number. (1)

(c) Work out \(\left(5 \times 10^{42}\right) \times \left(7 \times 10^{-180}\right)\)
Give your answer in standard form. (2)

Scheme	Marks
\(5.2 \times 10^8\)	B1
	(1)

Scheme	Marks
0.000 087 9	B1
	(1)

Mark scheme (c)

Scheme	Marks
\(35 \times 10^{-138}\) or \(3.5 \times 10 \times 10^{-138}\) or \(3.5 \times 10^n\) where \(n \neq -137\)	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: \(3.5 \times 10^{-137}\)	A1
	(2)
	(4 marks)

EdexcelCurrent spec3 marksStandard Form

(a) Write \(8.4 \times 10^{-5}\) as an ordinary number. (1)

(b) Work out \(\left(6.5 \times 10^{-40}\right) \times \left(8 \times 10^{185}\right)\)
Give your answer in standard form. (2)

Scheme	Marks
0.000 084	B1
	(1)

Mark scheme (b)

Scheme	Marks
\(52 \times 10^{145}\) or \(5.2 \times 10^n\) or \(p \times 10^{146}\) where \(1 \leqslant p \lt 10\)	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: \(5.2 \times 10^{146}\)	A1
	(2)
	(3 marks)