Math / Numbers & Operations

QuestionEstimate. (Examples 1-4)
1. $47 \%$ of $70 \approx$ $\qquad$ show your work. work.
4. $65 \%$ of $152 \approx$ $\qquad$
2. $39 \%$ of $120 \approx$ $\qquad$
5. $72 \%$ of $238 \approx$ $\qquad$
7. $224 \%$ of $320 \approx$ $\qquad$
13. $21 \%$ of $90 \approx$ $\qquad$
6. $132 \%$ of $54 \approx$ $\qquad$
9. $0.4 \%$ of $510 \approx$ $\qquad$

Studdy Solution

STEP 1

1. Estimating percentages involves simplifying the percentages to nearby values that are easier to work with.
2. The product of the simplified percentage and the number should be calculated.
3. The calculations should provide approximate results.

STEP 2

1. Estimate $47 \%$ of $70$ .
2. Estimate $39 \%$ of $120$ .
3. Estimate $65 \%$ of $152$ .
4. Estimate $72 \%$ of $238$ .
5. Estimate $224 \%$ of $320$ .
6. Estimate $21 \%$ of $90$ .
7. Estimate $132 \%$ of $54$ .
8. Estimate $0.4 \%$ of $510$ .

STEP 3

Estimate $47 \%$ of $70$ by rounding $47 \%$ to $50 \%$ . $50 \% \text{ of } 70 = \frac{50}{100} \times 70 = 0.5 \times 70 = 35$

STEP 4

Estimate $39 \%$ of $120$ by rounding $39 \%$ to $40 \%$ . $40 \% \text{ of } 120 = \frac{40}{100} \times 120 = 0.4 \times 120 = 48$

STEP 5

Estimate $65 \%$ of $152$ by rounding $65 \%$ to $66.67 \%$ (which is $\frac{2}{3}$ ). $\frac{2}{3} \text{ of } 152 = \frac{2}{3} \times 152 \approx 101.33$

STEP 6

Estimate $72 \%$ of $238$ by rounding $72 \%$ to $70 \%$ . $70 \% \text{ of } 238 = \frac{70}{100} \times 238 = 0.7 \times 238 \approx 166.6$

STEP 7

Estimate $224 \%$ of $320$ by rounding $224 \%$ to $225 \%$ (which is $\frac{9}{4}$ ). $\frac{9}{4} \text{ of } 320 = \frac{9}{4} \times 320 = 2.25 \times 320 = 720$

STEP 8

Estimate $21 \%$ of $90$ by rounding $21 \%$ to $20 \%$ . $20 \% \text{ of } 90 = \frac{20}{100} \times 90 = 0.2 \times 90 = 18$

STEP 9

Estimate $132 \%$ of $54$ by rounding $132 \%$ to $130 \%$ . $130 \% \text{ of } 54 = \frac{130}{100} \times 54 = 1.3 \times 54 \approx 70.2$

STEP 10

Estimate $0.4 \%$ of $510$ by rounding $0.4 \%$ to $0.5 \%$ . $0.5 \% \text{ of } 510 = \frac{0.5}{100} \times 510 = 0.005 \times 510 \approx 2.55$

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Studdy Solution

STEP 1

1. Estimating percentages involves simplifying the percentages to nearby values that are easier to work with.
2. The product of the simplified percentage and the number should be calculated.
3. The calculations should provide approximate results.

STEP 2

1. Estimate $47 \%$ of $70$ .
2. Estimate $39 \%$ of $120$ .
3. Estimate $65 \%$ of $152$ .
4. Estimate $72 \%$ of $238$ .
5. Estimate $224 \%$ of $320$ .
6. Estimate $21 \%$ of $90$ .
7. Estimate $132 \%$ of $54$ .
8. Estimate $0.4 \%$ of $510$ .

STEP 3

Estimate $47 \%$ of $70$ by rounding $47 \%$ to $50 \%$ . $50 \% \text{ of } 70 = \frac{50}{100} \times 70 = 0.5 \times 70 = 35$

STEP 4

Estimate $39 \%$ of $120$ by rounding $39 \%$ to $40 \%$ . $40 \% \text{ of } 120 = \frac{40}{100} \times 120 = 0.4 \times 120 = 48$

STEP 5

Estimate $65 \%$ of $152$ by rounding $65 \%$ to $66.67 \%$ (which is $\frac{2}{3}$ ). $\frac{2}{3} \text{ of } 152 = \frac{2}{3} \times 152 \approx 101.33$

STEP 6

Estimate $72 \%$ of $238$ by rounding $72 \%$ to $70 \%$ . $70 \% \text{ of } 238 = \frac{70}{100} \times 238 = 0.7 \times 238 \approx 166.6$

STEP 7

Estimate $224 \%$ of $320$ by rounding $224 \%$ to $225 \%$ (which is $\frac{9}{4}$ ). $\frac{9}{4} \text{ of } 320 = \frac{9}{4} \times 320 = 2.25 \times 320 = 720$

STEP 8

Estimate $21 \%$ of $90$ by rounding $21 \%$ to $20 \%$ . $20 \% \text{ of } 90 = \frac{20}{100} \times 90 = 0.2 \times 90 = 18$

STEP 9

Estimate $132 \%$ of $54$ by rounding $132 \%$ to $130 \%$ . $130 \% \text{ of } 54 = \frac{130}{100} \times 54 = 1.3 \times 54 \approx 70.2$

STEP 10

Estimate $0.4 \%$ of $510$ by rounding $0.4 \%$ to $0.5 \%$ . $0.5 \% \text{ of } 510 = \frac{0.5}{100} \times 510 = 0.005 \times 510 \approx 2.55$

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Studdy Solution

STEP 1

1. Estimating percentages involves simplifying the percentages to nearby values that are easier to work with.2. The product of the simplified percentage and the number should be calculated.3. The calculations should provide approximate results.

STEP 2

1. Estimate 47%47 \%47% of 707070.2. Estimate 39%39 \%39% of 120120120.3. Estimate 65%65 \%65% of 152152152.4. Estimate 72%72 \%72% of 238238238.5. Estimate 224%224 \%224% of 320320320.6. Estimate 21%21 \%21% of 909090.7. Estimate 132%132 \%132% of 545454.8. Estimate 0.4%0.4 \%0.4% of 510510510.

STEP 3

Estimate 47%47 \%47% of 707070 by rounding 47%47 \%47% to 50%50 \%50%. 50% of 70=50100×70=0.5×70=35 50 \% \text{ of } 70 = \frac{50}{100} \times 70 = 0.5 \times 70 = 35 50% of 70=10050​×70=0.5×70=35

STEP 4

Estimate 39%39 \%39% of 120120120 by rounding 39%39 \%39% to 40%40 \%40%. 40% of 120=40100×120=0.4×120=48 40 \% \text{ of } 120 = \frac{40}{100} \times 120 = 0.4 \times 120 = 48 40% of 120=10040​×120=0.4×120=48

STEP 5

Estimate 65%65 \%65% of 152152152 by rounding 65%65 \%65% to 66.67%66.67 \%66.67% (which is 23\frac{2}{3}32​). 23 of 152=23×152≈101.33 \frac{2}{3} \text{ of } 152 = \frac{2}{3} \times 152 \approx 101.33 32​ of 152=32​×152≈101.33

STEP 6

Estimate 72%72 \%72% of 238238238 by rounding 72%72 \%72% to 70%70 \%70%. 70% of 238=70100×238=0.7×238≈166.6 70 \% \text{ of } 238 = \frac{70}{100} \times 238 = 0.7 \times 238 \approx 166.6 70% of 238=10070​×238=0.7×238≈166.6

STEP 7

Estimate 224%224 \%224% of 320320320 by rounding 224%224 \%224% to 225%225 \%225% (which is 94\frac{9}{4}49​). 94 of 320=94×320=2.25×320=720 \frac{9}{4} \text{ of } 320 = \frac{9}{4} \times 320 = 2.25 \times 320 = 720 49​ of 320=49​×320=2.25×320=720

STEP 8

Estimate 21%21 \%21% of 909090 by rounding 21%21 \%21% to 20%20 \%20%. 20% of 90=20100×90=0.2×90=18 20 \% \text{ of } 90 = \frac{20}{100} \times 90 = 0.2 \times 90 = 18 20% of 90=10020​×90=0.2×90=18

STEP 9

Estimate 132%132 \%132% of 545454 by rounding 132%132 \%132% to 130%130 \%130%. 130% of 54=130100×54=1.3×54≈70.2 130 \% \text{ of } 54 = \frac{130}{100} \times 54 = 1.3 \times 54 \approx 70.2 130% of 54=100130​×54=1.3×54≈70.2

STEP 10

Estimate 0.4%0.4 \%0.4% of 510510510 by rounding 0.4%0.4 \%0.4% to 0.5%0.5 \%0.5%. 0.5% of 510=0.5100×510=0.005×510≈2.55 0.5 \% \text{ of } 510 = \frac{0.5}{100} \times 510 = 0.005 \times 510 \approx 2.55 0.5% of 510=1000.5​×510=0.005×510≈2.55

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1. Estimating percentages involves simplifying the percentages to nearby values that are easier to work with.
2. The product of the simplified percentage and the number should be calculated.
3. The calculations should provide approximate results.

1. Estimate $47 \%$ of $70$ .
2. Estimate $39 \%$ of $120$ .
3. Estimate $65 \%$ of $152$ .
4. Estimate $72 \%$ of $238$ .
5. Estimate $224 \%$ of $320$ .
6. Estimate $21 \%$ of $90$ .
7. Estimate $132 \%$ of $54$ .
8. Estimate $0.4 \%$ of $510$ .

Estimate $47 \%$ of $70$ by rounding $47 \%$ to $50 \%$ . $50 \% \text{ of } 70 = \frac{50}{100} \times 70 = 0.5 \times 70 = 35$

Estimate $39 \%$ of $120$ by rounding $39 \%$ to $40 \%$ . $40 \% \text{ of } 120 = \frac{40}{100} \times 120 = 0.4 \times 120 = 48$

Estimate $65 \%$ of $152$ by rounding $65 \%$ to $66.67 \%$ (which is $\frac{2}{3}$ ). $\frac{2}{3} \text{ of } 152 = \frac{2}{3} \times 152 \approx 101.33$

Estimate $72 \%$ of $238$ by rounding $72 \%$ to $70 \%$ . $70 \% \text{ of } 238 = \frac{70}{100} \times 238 = 0.7 \times 238 \approx 166.6$

Estimate $224 \%$ of $320$ by rounding $224 \%$ to $225 \%$ (which is $\frac{9}{4}$ ). $\frac{9}{4} \text{ of } 320 = \frac{9}{4} \times 320 = 2.25 \times 320 = 720$

Estimate $21 \%$ of $90$ by rounding $21 \%$ to $20 \%$ . $20 \% \text{ of } 90 = \frac{20}{100} \times 90 = 0.2 \times 90 = 18$

Estimate $132 \%$ of $54$ by rounding $132 \%$ to $130 \%$ . $130 \% \text{ of } 54 = \frac{130}{100} \times 54 = 1.3 \times 54 \approx 70.2$

Estimate $0.4 \%$ of $510$ by rounding $0.4 \%$ to $0.5 \%$ . $0.5 \% \text{ of } 510 = \frac{0.5}{100} \times 510 = 0.005 \times 510 \approx 2.55$