Number and Operations in Base Ten: Reading, Writing, and Comparing Decimals to Thousandths (CCSS.5.NBT.3)
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Common Core 5th Grade Math › Number and Operations in Base Ten: Reading, Writing, and Comparing Decimals to Thousandths (CCSS.5.NBT.3)
Which shows 4.327 dollars in word form?
four dollars and three hundred twenty-seven thousandths
four dollars and thirty-two hundredths
four dollars and three hundred twenty-seven hundredths
four dollars and three tenths, twenty-seven hundredths
Explanation
4.327 = 4 + 3 tenths + 2 hundredths + 7 thousandths. In money, that's four dollars and three hundred twenty-seven thousandths of a dollar (a little more than four dollars and 32 cents). Choices B and D confuse tenths and hundredths, and C says hundredths instead of thousandths.
A board is measured as five and sixty-four thousandths meters. Which number matches this measurement?
5.64
5.0064
5.064
5.604
Explanation
Sixty-four thousandths is 0.064, so five and sixty-four thousandths is 5.064. Choice A is sixty-four hundredths (0.64), B includes ten-thousandths, and D places the 6 in the hundredths place instead of the thousandths.
A player's season scoring average is 3.728 points per game. Which expanded form matches 3.728?
$3 \times 1 + 7 \times \frac{1}{100} + 2 \times \frac{1}{10} + 8 \times \frac{1}{1000}$
$3 \times 1 + 7 \times \frac{1}{10} + 2 \times \frac{1}{100} + 8 \times \frac{1}{1000}$
$3 \times 10 + 7 \times 1 + 2 \times \frac{1}{10} + 8 \times \frac{1}{100}$
$3 \times 1 + 7 \times \frac{1}{1000} + 2 \times \frac{1}{100} + 8 \times \frac{1}{10}$
Explanation
In 3.728, 7 is in the tenths place, 2 is in the hundredths place, and 8 is in the thousandths place: $3 + 7\cdot\frac{1}{10} + 2\cdot\frac{1}{100} + 8\cdot\frac{1}{1000}$. The other choices mix up the tenths, hundredths, and thousandths.
A runner's time is written as twelve and three hundred five thousandths minutes. Which numeral matches this?
12.035
12.35
12.3005
12.305
Explanation
Three hundred five thousandths is 0.305, so the time is 12.305 minutes. Choice A is thirty-five thousandths (0.035), B is thirty-five hundredths (0.35), and C includes ten-thousandths (0.3005).
Which comparison is true? Compare \$7.405$ and \$7.45$.
$7.405 > 7.45$
$7.405 = 7.45$
$7.45 < 7.405$
$7.405 < 7.45$
Explanation
Compare ones 7=7, tenths 4=4, hundredths 0 vs 5. Since 0<5, $7.405<7.450$, so $7.405<7.45$.
Which comparison is true? Compare \$3.730$ and \$3.703$.
$3.730 < 3.703$
$3.730 > 3.703$
$3.730 = 3.703$
$3.703 > 3.730$
Explanation
Compare ones 3=3, tenths 7=7, hundredths 3 vs 0. Since 3>0, $3.730>3.703$.