6th grade math book #2 pg. 438: 17. Suppose the population of the United States is about 230 billion. Is this number closer to 10 to the seventh or 10 to the eighth? Explain your reasoning.

10^7=10000000

10^8=100000000

To determine whether the number 230 billion is closer to 10 to the seventh or 10 to the eighth, we need to compare it to these two numbers and see which one it is closer to.

First, let's convert 10 to the seventh and 10 to the eighth into numerical values:

10 to the seventh = 10,000,000 (10 million)
10 to the eighth = 100,000,000 (100 million)

Now, let's compare these values to 230 billion and see which one it is closer to.

Is 230 billion closer to 10 million or 100 million?

To determine this, we can divide 230 billion by each value and see which division yields a quotient that is closer to 1.

230 billion / 10 million ≈ 23
230 billion / 100 million ≈ 2.3

When we divide 230 billion by 10 million, the quotient is approximately 23. This means that 230 billion is closer to 10 to the eighth (100 million) since the quotient is closer to 1.

Hence, the number 230 billion is closer to 10 to the eighth (100 million) rather than 10 to the seventh (10 million).

What are 10^7 and 10^8?

230 billion = 23,000,000,000

10^7=10,000,000
10^8=100,000,000

What do you think?