Show three ways to estimate 3 / 5 ×9 1/2. Identify each method you use.
i honestly have no idea
9 1/2×3/5
5 3/4
1/2x3/5
I am becoming a couch potato 😭
To estimate the value of 3/5 multiplied by 9 1/2, we can use the following three methods:
Method 1: Rounding
- Step 1: Round the fraction, 3/5, to the nearest whole number. Since 3/5 is slightly less than 1/2, we can round it down to 0.
- Step 2: Multiply the rounded fraction, 0, by the mixed number, 9 1/2. In this case, 0 multiplied by 9 1/2 equals 0.
- Therefore, using rounding, we estimate that 3/5 multiplied by 9 1/2 is approximately 0.
Method 2: Cross-Multiplication
- Step 1: Convert the mixed number, 9 1/2, into an improper fraction. The improper fraction equivalent of 9 1/2 is (2*9 + 1)/2 = 19/2.
- Step 2: Cross-multiply the fractions: (3 * 19)/(5 * 2) = 57/10.
- Therefore, using cross-multiplication, we estimate that 3/5 multiplied by 9 1/2 is approximately 57/10.
Method 3: Decimal Conversion
- Step 1: Convert the fraction, 3/5, into a decimal by dividing 3 by 5. 3 divided by 5 equals 0.6.
- Step 2: Convert the mixed number, 9 1/2, into a decimal. The decimal equivalent of 9 1/2 is 9.5.
- Step 3: Multiply the decimal values: 0.6 multiplied by 9.5 equals 5.7.
- Therefore, using decimal conversion, we estimate that 3/5 multiplied by 9 1/2 is approximately 5.7.
Note: These methods provide estimates rather than exact values. If you need an exact value, the original expression should be evaluated using fractional arithmetic.