Question

1. jim looks at the periodic table of elements at a chemistry lab. he sees that the atomic weight for cobalt is 58.933 and the atomic weight for nickel is 58.693. what symbol makes this statement true? 58.933 ___ 58.693 a. < b. > c. = d. +
2. jerelle spent $0.60 on five stickers. each sticker cost the same amount. how much did each sticker cost? a. $0.06 b. $0.12 c. $0.6 d. $5
3. ian used a device called a micrometer screw - gauge to measure the width of a thimble, which was 0.278 inches. what is 0.278 rounded to the nearest hundredth? a. 0 b. 0.27 c. 0.28 d. 0.3
4. 2×0.47 = ___? a. 0.23 b. 0.49 c. 0.84 d. 0.94
5. the distance from earth to the sun is approximately 9.3×10^7 miles. how many places to the right does the decimal point move in the product of 9.3×10^7? a. 7 b. 10 c. 17 d. 70

Explanation:

Step1: Compare 58.933 and 58.893

Since 58.933 is greater than 58.893, the symbol is >.

Step2: Calculate cost per - sticker

Total cost is $0.60 and number of stickers is 5. Cost per sticker = $\frac{0.60}{5}=0.12$.

Step3: Round 0.278

To round 0.278 to the nearest hundredth, look at the thousandths place. Since 8 > 5, we round up. So 0.278 rounds to 0.28.

Step4: Calculate 2×0.47

$2\times0.47 = 0.94$.

Step5: Analyze scientific - notation movement

For a number in scientific notation $a\times10^{n}$ where $a$ is a number between 1 and 10 and $n$ is a positive integer, the decimal point moves $n$ places to the right. For $9.3\times10^{7}$, the decimal point moves 7 places to the right.

Answer:

1. B. >
2. B. $0.12
3. C. 0.28
4. D. 0.94
5. A. 7