Question

13 what expression can be used to show 307,601 written in expanded form? a 300,000 + 70,000 + 600 + 10 b 300,000 + 70,000 + 600 + 1 c 300,000 + 7,000 + 600 + 10 d 300,000 + 7,000 + 600 + 1 14 kerri planted 36 sunflower seeds in equal rows. which could not be a way that kerri arranged the seeds? a 12 rows of 3 seeds b 9 rows of 4 seeds c 6 rows of 6 seeds d 5 rows of 7 seeds

Explanation:

Question 13

Step1: Analyze the number 307,601

The number 307,601 can be broken down by place value. The hundred - thousands place is 3 (representing 300,000), the ten - thousands place is 0 (so 0×10,000 = 0), the thousands place is 7 (representing 7,000), the hundreds place is 6 (representing 600), the tens place is 0 (so 0×10 = 0), and the ones place is 1 (representing 1).

Step2: Check each option

• Option A: $300,000+70,000 + 600+10$ has 70,000 (but the ten - thousands place is 0) and 10 (tens place is 0), so it's incorrect.
• Option B: $300,000+70,000+600 + 1$ has 70,000 (ten - thousands place is 0), so it's incorrect.
• Option C: $300,000+7,000+600+10$ has 10 (tens place is 0), so it's incorrect.
• Option D: $300,000+7,000+600+1$ correctly breaks down 307,601 as 300,000 (hundred - thousands), 7,000 (thousands), 600 (hundreds), and 1 (ones).

Step1: Recall the concept of divisibility

To determine if 36 sunflower seeds can be arranged in $n$ rows of equal number of seeds, we need to check if 36 is divisible by $n$. If $36\div n$ gives an integer, then it can be arranged; otherwise, it cannot.

Step2: Check each option

• Option A: $36\div12 = 3$, which is an integer. So 36 seeds can be arranged in 12 rows of 3 seeds.
• Option B: $36\div9=4$, which is an integer. So 36 seeds can be arranged in 9 rows of 4 seeds.
• Option C: $36\div6 = 6$, which is an integer. So 36 seeds can be arranged in 6 rows of 6 seeds.
• Option D: $36\div5=\frac{36}{5}=7.2$, which is not an integer. So 36 seeds cannot be arranged in 5 rows of 7 seeds.

Answer:

D

Question 14