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Evaluate powers and numbers in scientific notation · Grade 9 · B2.1

Name: ______________________

Date: ______________________

1
Evaluate 5^2 (that is, 5 raised to the exponent 2).
Warm-up
Answer:
2
Evaluate 4^2 (that is, 4 raised to the exponent 2).
Warm-up
Answer:
3
Evaluate 5^3 (that is, 5 raised to the exponent 3).
Warm-up
Answer:
4
Write 1 × 10^2 in standard (expanded) form.
On level
Answer:
5
Write 7 × 10^4 in standard (expanded) form.
On level
Answer:
6
Write 6 × 10^3 in standard (expanded) form.
On level
Answer:
7
Evaluate 2^(−2). Give your answer as a fraction.
Challenge
Answer:
8
Evaluate 4^(−2). Give your answer as a fraction.
Challenge
Answer:
9
Evaluate 4^(−2). Give your answer as a fraction.
Challenge
Answer:

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Worksheet code: eyJzIjoibnVtYmVyLXBvd2Vycy1ldmFsdWF0ZSIsImQiOlsyMDkwNzE5NDM5LDE4MjczMjE5NTAsMTI2Nzg2ODU5OSwyMDg5NTg1MzM0LDczMjU3MzI0MSwxOTk0NzgwOTk0LDExMDk3OTQxMTAsODE1OTMyNDI0LDE5NTA0NTA3MDBdLCJ2IjoxfQ.d95202cab6b4

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Answer key · Evaluate powers and numbers in scientific notation

1.
25 — 5^2 means 5 × 5 = 25.
2.
16 — 4^2 means 4 × 4 = 16.
3.
125 — 5^3 means 5 × 5 × 5 = 125.
4.
100 — Multiplying by 10^2 shifts the digit 1 left by 2 places: 100.
5.
70000 — Multiplying by 10^4 shifts the digit 7 left by 4 places: 70000.
6.
6000 — Multiplying by 10^3 shifts the digit 6 left by 3 places: 6000.
7.
1/4 — A negative exponent is the reciprocal of the power: 2^(−2) = 1 ÷ 2^2 = 1/4.
8.
1/16 — A negative exponent is the reciprocal of the power: 4^(−2) = 1 ÷ 4^2 = 1/16.
9.
1/16 — A negative exponent is the reciprocal of the power: 4^(−2) = 1 ÷ 4^2 = 1/16.