Scientific Notatio
Express this product in correct scientific notation:
(12 × 10^8)(5 × 10^13).
6.0 × 10^22
Convert the mixed fraction 3 4/5
into a terminating decimal.
3.8
Between which two consecutive whole integers does the irrational number √53 fall?
7 and 8
Sarah's driving distance follows a linear pattern: at 2 hours she has traveled 100 miles, and at 4 hours she has traveled 200 miles. What is her constant unit rate of speed?
Answer: 50 miles per hour (mph)
What is 250 × 10^7
written in proper scientific notation?
Answer: 2.5 × 10^9
Convert the fraction 5/9
into a repeating decimal using correct bar notation.
0.5555......
True or False: The value of √15 is strictly between 3 and 3.5.
Answer: False.
Maya drives at a constant speed represented on a graph. The line passes cleanly through coordinates (1, 60) and (2, 120), where x is hours and y is miles. What is Maya's speed?
Answer: 60 miles per hour (mph)
Using the equation density = mass / volume, find the density of an asteroid with a mass of 6.0 × 10^18 kg and a volume of 1.5 × 10^6 km^3
Answer: 4.0 × 10^12 kg/km^3
Classify the number 7π as a whole number, integer, rational, or irrational number, and justify why.
Answer: Irrational number.
Explanation: Pi (π) is a non-terminating and non-repeating value. Multiplying it by a non-zero integer leaves it
infinite and non-repeating.
If you plot -√11 on a standard number line, between which two negative integers does it fall, and which is it closer to?
Between -3 and -4, and it is closer to -3.
Using the rates of Maya (60 mph) and Sarah (50 mph), state a sentence that correctly compares their constant trip rates.
Answer: Maya drove at a rate that was 10 miles per hour faster than Sarah (or Sarah drove 10 mph slower than Maya).