Integers
a. What integer is 1 less than -8?
b. What integer is 1 more than -8?
c. What is the opposite of -8?
a. -9
b. -7
c. 8
Write the fractions in lowest terms.
a. ⁹⁹⁄₁₅₄
b. ⁶³⁄₇₀
a. ⁹⁄₁₄
b. ⁹⁄₁₀
Find the decimal for the following fractions.
a. ⁹⁄₁₀₀₀
b. ⁴³⁶⁄₁₀
a. .009
b. 43.6
The ratio of apples to oranges in a gift box is 3 to 2, and there are 18 apples. How many oranges are there?
There are 12 oranges.
Which of these numbers is irrational?
a. √49
b. ∛216
c. √18
c. √18
If the temperature is now 10°F, what will it be 3 hours from now if it decreases 2°F each hour?
4°F
Find the least common denominator for the fraction pair.
⅝ and ⁻³⁄₁₀
²⁵⁄₄₀ and ⁻¹²⁄₄₀
Solve the following equation.
0.012 × 9.3
0.1116
Write the fraction as a percent, rounded to the nearest tenth of a percent.
⁵⁄₁₂
41.7%
Find the indicated root.
∛64
Find missing integers for each equation.
a. -4 - _ = 7
b. -6 × _ = -42
c. 4 + __ = -19
a. -11
b. 7
c. -23
Select the inequality sign (< or >) for the pair of fractions.
a. ⅜ and ⁴⁄₉
b. ⁻⁵⁄₆ and ⁻⁷⁄₈
a. ⅜ < ⁴⁄₉
b. ⁻⁵⁄₆ > ⁻⁷⁄₈
Solve the following equations.
0.03 ÷ 100
0.0003
What is 12 percent of 60?
7.2
Write the number as a decimal to the nearest tenth, and determine which whole number it is closest to on a number line.
∛60
∛60 = 3.91
It is closer to 4 on a number line.
Determine whether the answer will be positive or negative.
41 × -65 + 500
Negative
Round each mixed number to the nearest whole number to approximate the sum of the numbers.
1 ⅔ 3 ¼ 1 ½ 2 ⅒
The sum of the numbers is 9
Round each decimal to the given place value.
a. .35294 (tenths)
b. .384615 (thousandths)
a. 0.4
b. 0.385
Write the number in scientific notation.
4,600,000,000
4.6 × 109
Simplify square root so that the smallest possible whole number is left under the square root symbol.
√48
4√3
A submarine has an altitude of -5500 feet, and it dives down 1500 feet. What is its new altitude in feet?
-7,000
Solve the following equation. Replace improper fractions with mixed numbers, and write the fraction in lowest terms.
¾ ÷ ⅒
Step 1: ¾ ÷ ⅒ → ¾ × ¹⁰⁄₁ = ³⁰⁄₄
Step 2: ³⁰⁄₄ → 7²⁄₄
Step 3: 7²⁄₄ → 7½
Write the given decimal having the given number of decimal places.
a. 0.47 = ___ (thousandths)
b. 0.270 = ___ (hundredths)
a. 0.470
b. 0.27
Write the number in positional numeration.
1.2 × 10-9
.0000000012
Rationalize the denominator of the fraction.
3/2√6
√6/4