Estimation
Round 4,786 to the nearest hundred.
4,800
In the number 58,304 what digit is in the thousands place?
Thousands place digit = 8
On a number line from 0 to 10, what point is halfway between 2 and 5?
(2+5)/2 = 3.5
Which is greater: 0.56 or 0.605?
0.605 is greater.
Estimate the sum: 47+158+301 by rounding each to the nearest ten and adding.
Round to tens: 50+160+300=510
Estimate the product of 298 × 47 by rounding each factor to one significant digit and multiplying. What is the estimate?
Round 298 → 300, 47 → 50;
estimate = 300×50=15,000
Write the number 7,304 in expanded form.
7,000+300+0+4
Mark the location of −(3/4) on a number line. Describe its position relative to 0 and −1.
−(3/4) is left of 0 and to the right of −1;
three-quarters of the distance from 0 to −1.
Order these from least to greatest: −2, −1/2, 0, −3
−3,−2,−1/2,0
Maya has 3.6 meters of ribbon. She cuts it into pieces each 0.4 meters long. How many pieces can she get?
(3.6)/(0.4)=9 pieces
A school fundraiser expects about 4,325 visitors each day for 3 days. Use front-end estimation (keep leading digits) to estimate the total visitors.
Front-end: 4,000×3=12,000
(or using leading digits 4,325 ≈ 4,300 →
4,300×3=12,900)
What is the value of the digit 6 in the number 3, 6 5 0. (i.e., 36,50)? — corrected number: In 36,502 what is the value of the digit 6?
Value of 6 = 6,000
On a number line from −10 to 10, what is the midpoint between −7 and 4?
(-7+4)/2 = -1.5
Which is larger: 7/10 or 0.69?
7/10 is larger.
A recipe needs 3/4 cup of sugar. If you want to make half the recipe, how much sugar do you need? Give answer as a fraction and decimal.
Half of 3/4 is 3/8; decimal = 0.375
Round 0.0378 to two significant digits.
0.038
Place-value question with decimals: In 4.072 what is the place value of the 7?
0.07 (the hundredths place)
Place and label the fractions 1/3 and 2/3 on a number line from 0 to 1. Which is closer to 0.7?
2/3 is closer to 0.7
Compare using >, <, or = :
−0.25 ____ −1/4
−0.25=−1/4
A number is 4,236. When rounded to the nearest thousand it becomes 4,000. What range of original numbers would round to 4,000 at the thousand place?
Numbers from 3,500 up to 4,499.999…
Without calculating exact value, which is a better estimate for 876÷9: 100 or 80? Explain quickly and give the estimate.
80 is better because 900÷9=100 and 810÷9=90; 876 is closer to 810 than 900, so estimate ≈ 97 (using 9×97=873)
Rewrite 0.4062 in words and identify the place value of the 2.
In words: "four tenths, zero hundredths, six thousandths, two ten-thousandths"
The 2 is in the ten-thousandths place, value = 2/10,000=0.0002
A point is at −2.4 on the number line. What is its distance from 1.1?
∣−2.4−1.1∣
=∣−3.5∣
=3.5
A student claims 4/5<0.9. Is the student correct? Explain and give the correct comparison.
4/5=0.8 so 0.8<0.9
The student is correct that 4/5<0.9.
A stock went from $12.45 to $9.30. By what percent did the stock decrease? (Round to nearest tenth of a percent.)
Decrease = 12.45−9.30=$3.15.
Percent decrease = ((3.15)/(12.45))×100%≈25.3%