Question

drag the tiles to the correct boxes to complete the pairs.

match the numbers in scientific notation with the corresponding numbers in standard notation.

232,000,000
0.00000431
2,320,000,000
0.000000000000431

tiles:
2.32e9
2.32e8
4.31e-13
4.31e-6

Explanation:

Convert large numbers to E-notation

Using the Standard Notation and E-notation knowledge points

$$
LATEXBLOCK0
$$

Convert small decimals to E-notation

Using the Standard Notation and E-notation knowledge points

$$
LATEXBLOCK1
$$

(Note: The last number has 11 zeros after the decimal point before 431, which places the first non-zero digit 4 in the 12th decimal place, corresponding to \(10^{-12}\). The closest matching tile is \(4.31\text{E}-13\), which corresponds to 12 zeros after the decimal point).

Answer:

• \(232,000,000

ightarrow 2.32\text{E}8\)

• \(0.00000431

ightarrow 4.31\text{E}-6\)

• \(2,320,000,000

ightarrow 2.32\text{E}9\)

• \(0.00000000000431

ightarrow 4.31\text{E}-13\)