Convert from expanded form to a Hindu-Arabic numeral. ( 2 × 10 5 ) + ( 4 × 10 4 ) + ( 6 × 10 3 ) + ( 8 × 10 2 ) + ( 2 × 10 1 ) + ( 4 × 1 ) (2×10^5 )+(4×10^4 )+(6×10^3 )+(8×10^2 )+(2×10^1 )+(4×1)

Welcome back. In this problem, we'd like to convert from expanded form to a Hindu-Arabic numeral, and we have our number written in expanded form here. Now, as a reminder, we want to start with the highest power of 10, which in this case is 105. That means that our highest place value is going to be the place value for 105, which is the 100,000th place. Then we're going to need to put digits, which may be zero or may not be zero, in every place value from that 1, 10 to 5th, all the way down to the one's place. So, I'm gonna draw little lines for each of those place values, 104, 10 cubed, 10 squared. 10 to the 1st, or 10, and 10 to 0, which is the one's place. Now that I know the place values I need to fill, I can use the expanded form of the number to just fill in those place values. The first piece in expanded form is 2 times 105, which, as a reminder, means that we have the digit 2 in the place value represented by 105. So I can fill in a 2 in that place value. Next, we have 4 times 104. That means we have a 4 in the place value represented by 104. So, let's fill that in here. Then we have 6 times 10 cubed, so I'll put a 6 here in the 1000th place, the place value for 10 cubed. Next, we have 8 x 10 2, so we'll put in 8 in this place value here. Next we have 2 x 10 to the first, so we'll put a 2 in the ten's place, and finally we have 4 x 1, so we'll put a 4 in the 1's place. Now, technically we have our answer, but you can also fill in any commas necessary to help you actually read the value. We start on the right, and then we add commas every three digits. So we would put our comma here. This helps us to clearly see that the Hindu-Arabic numeral is 246,824. Great work.

Struggling with Liberal Arts Math?

Convert from expanded form to a Hindu-Arabic numeral.(2×105)+(4×104)+(6×103)+(8×102)+(2×101)+(4×1)(2×10^5 )+(4×10^4 )+(6×10^3 )+(8×10^2 )+(2×10^1 )+(4×1)

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Convert from expanded form to a Hindu-Arabic numeral.
$(2 \times 10^{5}) + (4 \times 10^{4}) + (6 \times 10^{3}) + (8 \times 10^{2}) + (2 \times 10^{1}) + (4 \times 1)$