JentooACT®

ACT® · Science: The Section, the Clock, and the Optional Decision

Working Without a Calculator

Science section numbers look ugly on purpose: they are built to be ranked by place value and exponent, not calculated, which is exactly why no calculator is allowed.

The Science section bans calculators because almost nothing on it actually requires arithmetic. The numbers in tables and graphs are there to be read and compared, not computed. When a question asks which trial gave the biggest result or how concentration changed across a table, it wants you to look at place value and exponents and size things up, not punch in digits.

For decimals like 0.0034 and 0.00034, count the zeros after the decimal point before the first nonzero digit. 0.0034 has two zeros then a 3; 0.00034 has three zeros then a 3. Fewer leading zeros means the value sits closer to 1, so 0.0034 is the bigger number, exactly ten times bigger, since the two differ by one decimal place. No multiplication needed, just careful counting.

Scientific notation works the same way but even faster: compare exponents first. Between 3.2 x 104 and 9.7 x 103, the exponents are 4 and 3. Because 104 is already ten times 103, the value with the larger exponent wins even if its leading digit is smaller. Only if the exponents match do you glance at the leading digits to break the tie. This habit connects directly to how the section rewards speed: every minute spent computing is a minute not spent reading the next passage, and with forty minutes for six passages, fast ranking is what keeps you on pace.

Key terms

Scientific notation
A way of writing numbers as a digit times a power of ten, such as 3.2 x 104.
Exponent
The power of ten in scientific notation that tells you how many places to shift the decimal point.
Leading digit
The first nonzero digit in a number, used only to break ties when exponents or decimal places match.
Place value
The value given to a digit by its position relative to the decimal point.

Watch it explained

  1. How it worksHow do you rank 0.0034 against 0.00034 on a science table without doing a single calculation?
  2. Worked exampleFind which is larger, 3.2 x 104 or 9.7 x 103, the way an ACT Science item wants it settled in five seconds.
  3. Common mistakeWhy isn't a Science item full of ugly decimals actually asking you to compute anything?

Check yourself

Your turneasy1 of 3
A Science table lists concentrations of 3.2 x 105 and 9.7 x 102 in the same units, with 5 larger than 2. Calculators are barred. Which is larger, and how is that settled?

End of topic.